On degenerate p(x)-Laplace equations involving critical growth with two parameters. (February 2016)

• Record Type: Journal Article
• Authors: Ho, Ky; Sim, Inbo
• Is Part Of: Nonlinear analysis. Volume 132(2016)
• Page Start: 95
• Page End: 114
• Publication Date: 2016-02
• Subjects: 35J20 -- 35J60 -- 35J70 -- 47J10 -- 46E35; p(x)-Laplacian -- Weighted variable exponent Lebesgue–Sobolev spaces -- Concentration-compactness principle -- Concave–convex nonlinearities -- Nonnegative solutions -- Multiplicity; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.11.003
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: After establishing a concentration-compactness principle for weighted variable exponent spaces, we show the existence of a nonnegative solution and infinitely many solutions for degenerate p ( x ) -Laplace equations involving critical growth with two parameters using various techniques in Calculus of Variations.