Infinitely Many Solutions for Quasilinear Elliptic Problems with Broken Symmetry

被引：0

作者：

Bartolo, Rossella ^{[1
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, I-70125 Bari, Italy

来源：

ADVANCED NONLINEAR STUDIES | 2013年 / 13卷 / 03期

关键词：

p-Laplace operator; Non-homogeneous boundary data; Perturbative method; BOUNDARY-VALUE-PROBLEMS; CRITICAL-POINTS; EQUATIONS; MULTIPLICITY; REGULARITY; FUNCTIONALS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is investigating the existence of solutions of the quasilinear elliptic problem (P-phi) {-Delta(p)u = vertical bar u vertical bar(q-2)u + f in Omega, u = phi on partial derivative Omega, where Omega is an open bounded domain of R-N with C-2 boundary partial derivative Omega, Delta(p)u = div(vertical bar del u vertical bar(p-2)del u), 1 < p < q < p*, f is an element of C(<(Omega)over bar>) and phi is an element of C-2((Omega) over bar). By means of the so-called Bolle's method in [3, 4], we extend a result in [10] where the authors consider Omega =] 0, 1[(N) and u = 0 on partial derivative Omega.

引用

页码：739 / 749

页数：11

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