Nonlinear p-Laplacian Problem Involving a Hardy Potential in Exterior Domain

被引：0

作者：

Kesarwani, Akanksha ^{[1
]}

Kar, Rasmita ^{[1
]}

机构：

[1] Natl Inst Technol Rourkela, Dept Math, Rourkela 769008, Odisha, India

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2025年

关键词：

Sobolev spaces; Hardy potential; p-Laplacian operator; Exterior domain; ELLIPTIC-EQUATIONS; EXISTENCE; INEQUALITIES; REGULARITY;

D O I：

10.1007/s12591-025-00723-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following p-Laplacian problem with Hardy potential: -div(a(y)|del v|(p-2)del v)+b(y)|v|(p-2)v+mu v(s)/(|y|)p=f(y,v) in Omega, v>0 in Omega, v=0 on partial derivative Omega, here p is an element of(1,n), Omega (subset of R-n) is an exterior domain. We assume that the function f has either superlinear or sublinear growth with respect to the variable v. By using critical point theory, we establish the existence of a weak solution to this problem.

引用

页数：11

共 27 条

[1]

Adams RA., 1975, Sobolev spaces

[2]

Axler S., Measure, Integration & Real Analysis

[3]

AZORERO JPG, 1987, COMMUN PART DIFF EQ, V12, P1389

[4]

Azorero JPG, 1998, J DIFFER EQUATIONS, V144, P441

[5] LOCAL AND GLOBAL BEHAVIOR OF SOLUTIONS OF QUASILINEAR EQUATIONS OF EMDEN-FOWLER TYPE [J].

BIDAUTVERON, MF .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1989, 107 (04) :293-324

[6] LOCAL REGULARITY PROPERTIES FOR THE SOLUTIONS OF A NON-LINEAR PARTIAL-DIFFERENTIAL EQUATION [J].

DETHELIN, F .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1982, 6 (08) :839-844

[7]

DRABEK P., 1997, Quasilinear Elliptic Equations with Degenerations and Singularities

[8]

dulescu V. D., 2015, Partial Differential Equations with Variable Exponents Variational Methods and Qualitatives Analysis

[9] EXISTENCE AND NONEXISTENCE RESULTS FOR M-LAPLACE EQUATIONS INVOLVING CRITICAL SOBOLEV EXPONENTS [J].

EGNELL, H .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1988, 104 (01) :57-77

[10]

Evans LC., 2010, PARTIAL DIFFERENTIAL

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