Study of some nonlinear elliptic equation with non-polynomial anisotropic growth

被引：2

作者：

Benslimane, Omar ^{[1
]}

Aberqi, Ahmed ^{[2
]}

Bennouna, Jaouad ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar El Mahraz, Lab LAMA, BP 1796, Atlas Fez, Morocco

[2] Sidi Mohamed Ben Abdellah Univ, Natl Sch Appl Sci Fez, Lab LAMA, Atlas Fez, Morocco

来源：

ADVANCES IN OPERATOR THEORY | 2022年 / 7卷 / 03期

关键词：

Anisotropic elliptic equation; Entropy solution; Existence solutions; Anisotropic Sobolev-Orlicz spaces; Bounded domain; BOUNDARY-VALUE-PROBLEMS; PARABOLIC EQUATIONS; UNILATERAL PROBLEMS; VARIABLE EXPONENTS; SOBOLEV SPACES; EXISTENCE; UNIQUENESS;

D O I：

10.1007/s43036-022-00203-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This research aims to investigate a specific class of anisotropic elliptic equations within the context of anisotropic Orlicz spaces. We demonstrate the existence of entropic solutions for a dual or L-1 source. An approximation approach is employed, as well as some priori estimations. We also provide two instances of anisotropic elliptic equations that confirm all of our findings.

引用

页数：29

共 38 条

[1] Existence and uniqueness of a renormalized solution of parabolic problems in Orlicz spaces [J].

Abercji, A. ;

Bennouna, J. ;

Elmassoudi, M. ;

Hammoumi, M. .

MONATSHEFTE FUR MATHEMATIK, 2019, 189 (02) :195-219

[2] Nonlinear parabolic inequalities with lower order terms [J].

Aberqi, A. ;

Bennouna, J. ;

Mekkour, M. ;

Redwane, H. .

APPLICABLE ANALYSIS, 2017, 96 (12) :2102-2117

[3] Existence results for some unilateral problems without sign condition with obstacle free in Orlicz spaces [J].

Aharouch, L. ;

Benkirane, A. ;

Rhoudaf, M. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (08) :2362-2380

[4] Existence and uniqueness of solutions of unilateral problems in Orlicz spaces [J].

Aharouch, L. ;

Bennouna, J. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (9-10) :3553-3565

[5] Existence results for semilinear elliptical hemivariational inequalities [J].

Barletta, Giuseppina .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (08) :2417-2430

[6] Nonlinear anisotropic elliptic and parabolic equations in RN with advection and lower order terms and locally integrable data [J].

Bendahmane, M ;

Karlsen, K .

POTENTIAL ANALYSIS, 2005, 22 (03) :207-227

[7]

Benilan P., 1995, ANN SCUOLA NORM-SCI, V22, P241

[8]

Benkirane A., 1998, RENDICONTI MATEMATIC, V18, P289

[9]

Benslimane O., 2021, ARAB J MATH SCI, DOI DOI 10.1108/AJMS-12-2020-0133

[10] Existence and Uniqueness of Weak Solution of p(x)- Laplacian in Sobolev Spaces With Variable Exponents in Complete Manifolds [J].

Benslimane, Omar ;

Aberqi, Ahmed ;

Bennouna, Jaouad .

FILOMAT, 2021, 35 (05) :1453-1463

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