Elliptic problems involving the p(x)-Laplacian with competing nonlinearities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:379

Article

Kandilakis, Dimitrios A.¹  Sidiropoulos, Nikolaos¹ 

[1] Tech Univ Crete, Dept Sci, Khania 73100, Greece

关键词: Indefinite quasilinear elliptic problems;    Subcritical nonlinearities;    Supercritical nonlinearities;    Fibering method;    Nonstandard growth;   

DOI  :  10.1016/j.jmaa.2011.01.041

来源: Elsevier

【 摘 要 】

By using the fibering method we study the existence of nonnegative solutions for the elliptic problem -Delta(p(x))u = -lambda a(x)vertical bar u vertical bar(p(x)-2) u + mu b(x)vertical bar u vertical bar(q(x)-2)u - epsilon c(x)vertical bar u vertical bar(t(x)-2)u in Omega, u=0 on partial derivative Omega, } where Omega subset of R(N) is a bounded domain, a(.), b(.), c(.) are essentially bounded functions and p(.), q(.), t(.) are continuous on (Omega) over bar. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free