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1

Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations

Leonori, Tommaso, Peral, Ireneo, Primo, Ana, Soria, Fernando

Journal:

Discrete and Continuous Dynamical Systems

Year:

2015

Language:

english

File:

PDF, 476 KB

english, 2015

2

A Widder’s Type Theorem for the Heat Equation with Nonlocal Diffusion

Barrios, Begoña, Peral, Ireneo, Soria, Fernando, Valdinoci, Enrico

Journal:

Archive for Rational Mechanics and Analysis

Year:

2014

Language:

english

File:

PDF, 265 KB

english, 2014

3

A Remark on Perturbed Elliptic Equations of Caffarelli-Kohn-Nirenberg Type

Abdellaoui, Boumediene, Felli, Veronica, Peral, Ireneo

Journal:

Revista Matemática Complutense

Year:

2005

File:

PDF, 170 KB

2005

4

Nonlinear elliptic problems with a singular weight on the boundary

Juan Dávila, Ireneo Peral

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2011

Language:

english

File:

PDF, 256 KB

english, 2011

5

Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

Dipierro, Serena, Montoro, Luigi, Peral, Ireneo, Sciunzi, Berardino

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 664 KB

english, 2016

6

Multiplicity Results for Some Nonlinear Elliptic Equations

Antonio Ambrosetti, Jesus Garcia Azorero, Ireneo Peral

Journal:

Journal of Functional Analysis

Year:

1996

Language:

english

File:

PDF, 785 KB

english, 1996

7

Optimal results for parabolic problems arising in some physical models with critical growth in the gradient respect to a Hardy potential

Boumediene Abdellaoui, Ireneo Peral, Ana Primo

Journal:

Advances in Mathematics

Year:

2010

Language:

english

File:

PDF, 387 KB

english, 2010

8

Some remarks on systems of elliptic equations doubly critical in the whole({mathbb{R}^N})

Boumediene Abdellaoui, Veronica Felli, Ireneo Peral

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2009

Language:

english

File:

PDF, 511 KB

english, 2009

9

Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy–Leray potential

Merchán, Susana, Montoro, Luigi, Peral, Ireneo, Sciunzi, Berardino

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2014

Language:

english

File:

PDF, 963 KB

english, 2014

10

Some remarks on quasilinear parabolic problems with singular potential and a reaction term

Abdellaoui, Boumediene, Miri, Sofiane E. H., Peral, Ireneo, Touaoula, Tarik M.

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2014

Language:

english

File:

PDF, 503 KB

english, 2014

11

Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth

Escudero, Carlos, Hakl, Robert, Peral, Ireneo, Torres, Pedro J.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2014

Language:

english

File:

PDF, 203 KB

english, 2014

12

Biharmonic elliptic problems involving the 2nd Hessian operator

Ferrari, Fausto, Medina, Maria, Peral, Ireneo

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2014

Language:

english

File:

PDF, 284 KB

english, 2014

13

Some remarks about the summability of nonlocal nonlinear problems

Barrios, Begoña, Peral, Ireneo, Vita, Stefano

Journal:

Advances in Nonlinear Analysis

Year:

2015

Language:

english

File:

PDF, 590 KB

english, 2015

14

Some existence and regularity results for porous media and fast diffusion equations with a gradient term

Abdellaoui, Boumediene, Peral, Ireneo, Walias, Magdalena

Journal:

Transactions of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 413 KB

english, 2015

15

Beyond the Mountain Pass: Some Applications

Journal:

Advanced Nonlinear Studies

Year:

2012

Language:

english

File:

PDF, 305 KB

english, 2012

16

Bifurcation results for a fractional elliptic equation with critical exponent in\(\mathbb {R}^n\)

Dipierro, Serena, Medina, María, Peral, Ireneo, Valdinoci, Enrico

Journal:

manuscripta mathematica

Year:

2017

Language:

english

File:

PDF, 828 KB

english, 2017

17

Towards a deterministic KPZ equation with fractional diffusion: the stationary problem

Abdellaoui, Boumediene, Peral, Ireneo

Journal:

Year:

2018

Language:

english

File:

PDF, 2.68 MB

english, 2018

18

[Lecture Notes in Mathematics] Partial Differential Equations and Geometric Measure Theory Volume 2211 ||

Figalli, Alessio, Peral, Ireneo, Valdinoci, Enrico, Farina, Alberto, Valdinoci, Enrico

Year:

2018

Language:

english

File:

PDF, 3.01 MB

english, 2018

19

[Lecture Notes in Mathematics] Partial Differential Equations and Geometric Measure Theory Volume 2211 || On Some Elliptic and Parabolic Equations Related to Growth Models

Figalli, Alessio, Peral, Ireneo, Valdinoci, Enrico, Farina, Alberto, Valdinoci, Enrico

Year:

2018

Language:

english

File:

PDF, 1.73 MB

english, 2018

20

A quasilinear singular elliptic problem related to the Kardar–Parisi–Zhang equation

Boccardo, Lucio, Orsina, Luigi, Peral, Ireneo

Journal:

Applicable Analysis

Year:

2019

Language:

english

File:

PDF, 1.28 MB

english, 2019

21

A Dirichlet problem involving critical exponents

Lucio Boccardo, Miguel Escobedo, Ireneo Peral

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1995

Language:

english

File:

PDF, 365 KB

english, 1995

22

Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary

Boumediene Abdellaoui, Daniela Giachetti, Ireneo Peral, Magdalena Walias

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2011

Language:

english

File:

PDF, 322 KB

english, 2011

23

Concentration of solutions for some singularly perturbed mixed problems: Asymptotics of minimal energy solutions

Jesus Garcia Azorero, Andrea Malchiodi, Luigi Montoro, Ireneo Peral

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2010

Language:

english

File:

PDF, 307 KB

english, 2010

24

Some remarks on elliptic problems with critical growth in the gradient

Boumediene Abdellaoui, Andrea Dall’Aglio, Ireneo Peral

Journal:

Journal of Differential Equations

Year:

2006

Language:

english

File:

PDF, 401 KB

english, 2006

25

Elliptic problems with a Hardy potential and critical growth in the gradient: Non-resonance and blow-up results

Boumediene Abdellaoui, Ireneo Peral, Ana Primo

Journal:

Journal of Differential Equations

Year:

2007

Language:

english

File:

PDF, 273 KB

english, 2007

26

Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave–convex right-hand side

Fernando Charro, Eduardo Colorado, Ireneo Peral

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 309 KB

english, 2009

27

Corrigendum to “Some remarks on elliptic problems with critical growth in the gradient” [J. Differential Equations 222 (2006) 21–62]

Boumediene Abdellaoui, Andrea Dall'Aglio, Ireneo Peral

Journal:

Journal of Differential Equations

Year:

2009

Language:

english

File:

PDF, 106 KB

english, 2009

28

Strong regularizing effect of a gradient term in the heat equation with the Hardy potential

Boumediene Abdellaoui, Ireneo Peral, Ana Primo

Journal:

Journal of Functional Analysis

Year:

2010

Language:

english

File:

PDF, 253 KB

english, 2010

29

Competition reaction–absorption in some elliptic and parabolic problems related to the Caffarelli–Kohn–Nirenberg inequalities

Boumediene Abdellaoui, Ireneo Peral

Journal:

Journal of Mathematical Analysis and Applications

Year:

2006

Language:

english

File:

PDF, 230 KB

english, 2006

30

Global existence for some slightly super-linear parabolic equations with measure data

Andrea Dall'Aglio, Daniela Giachetti, Ireneo Peral, Sergio Segura de León

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 195 KB

english, 2008

31

Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient

Boumediene Abdellaoui, Andrea Dall'Aglio, Ireneo Peral

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2008

File:

PDF, 275 KB

2008

32

Positive radial solutions of quasilinear equations involving supercritical growth

Juan Antonio Aguilar, Ireneo Peral

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

1998

Language:

english

File:

PDF, 417 KB

english, 1998

33

Concentration of Solutions for Some Singularly Perturbed Mixed Problems: Existence Results

Jesus Garcia Azorero, Andrea Malchiodi, Luigi Montoro, Ireneo Peral

Journal:

Archive for Rational Mechanics and Analysis

Year:

2010

Language:

english

File:

PDF, 663 KB

english, 2010

34

On the Aleksandrov–Bakel’man–Pucci Estimate for Some Elliptic and Parabolic Nonlinear Operators

Roberto Argiolas, Fernando Charro, Ireneo Peral

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 411 KB

english, 2011

35

Existence and nonexistence results for quasilinear elliptic equations involving thep-Laplacian with a critical potential

Boumediene Abdellaoui, Ireneo Peral

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2003

Language:

english

File:

PDF, 327 KB

english, 2003

36

The critical hyperbola for a Hamiltonian elliptic system with weights

Djairo G. de Figueiredo, Ireneo Peral, Julio D. Rossi

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Year:

2008

Language:

english

File:

PDF, 208 KB

english, 2008

37

Breaking of resonance and regularizing effect of a first order quasi-linear term in some elliptic equations

Boumediene Abdellaoui, Ireneo Peral, Ana Primo

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2008

Language:

english

File:

PDF, 241 KB

english, 2008

38

Results for degenerate nonlinear elliptic equations involving a Hardy potential

Anna Mercaldo, Ireneo Peral, Ana Primo

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 298 KB

english, 2011

39

Remarks on the solvability of an elliptic equation with a supercritical term involving the Hardy–Leray potential

Susana Merchán, Ireneo Peral

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 260 KB

english, 2012

40

Limits as of -Laplacian concave–convex problems

Fernando Charro, Ireneo Peral

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2012

Language:

english

File:

PDF, 436 KB

english, 2012

41

Results on Parabolic Equations Related to Some Caffarelli--Kohn--Nirenberg Inequalities

Dall'Aglio, Andrea, Giachetti, Daniela, Peral, Ireneo

Journal:

SIAM Journal on Mathematical Analysis

Year:

2005

Language:

english

File:

PDF, 327 KB

english, 2005

42

Some fourth order nonlinear elliptic problems related to epitaxial growth

Escudero, Carlos, Peral, Ireneo

Journal:

Journal of Differential Equations

Year:

2013

Language:

english

File:

PDF, 257 KB

english, 2013

43

A remark on the fractional Hardy inequality with a remainder term

Abdellaoui, Boumediene, Peral, Ireneo, Primo, Ana

Journal:

Comptes Rendus Mathematique

Year:

2014

File:

PDF, 219 KB

2014

44

A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential

Peral, Ireneo, Orsina, Luigi, Boccardo, Lucio

Journal:

Discrete and Continuous Dynamical Systems

Year:

2006

Language:

english

File:

PDF, 223 KB

english, 2006

45

Limit Branch of Solutions as p → ∞ for a Family of Sub-Diffusive Problems Related to the p -Laplacian

Charro, Fernando, Peral, Ireneo

Journal:

Communications in Partial Differential Equations

Year:

2007

Language:

english

File:

PDF, 166 KB

english, 2007

46

Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities

Abdellaoui, Boumediene, Colorado, Eduardo, Peral, Ireneo

Journal:

Journal of the European Mathematical Society

Year:

2004

Language:

english

File:

PDF, 221 KB

english, 2004

47

A note on a critical problem with natural growth in the gradient

Abdellaoui, Boumediene, Peral, Ireneo

Journal:

Journal of the European Mathematical Society

Year:

2006

Language:

english

File:

PDF, 138 KB

english, 2006

48

ZERO ORDER PERTURBATIONS TO FULLY NONLINEAR EQUATIONS: COMPARISON, EXISTENCE AND UNIQUENESS

CHARRO, FERNANDO, PERAL, IRENEO

Journal:

Communications in Contemporary Mathematics

Year:

2009

Language:

english

File:

PDF, 392 KB

english, 2009

49

A remark on the existence properties of a semilinear heat equation involving a Hardy–Leray potential

Attar, Ahmed, Merchán, Susana, Peral, Ireneo

Journal:

Journal of Evolution Equations

Year:

2015

Language:

english

File:

PDF, 229 KB

english, 2015

50

Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian

Escudero, Carlos, Gazzola, Filippo, Peral, Ireneo

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2015

Language:

english

File:

PDF, 611 KB

english, 2015

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