On P-Laplacian Problem with Decaying Cylindrical Potential and Critical Exponent

Journal of Applied & Computational Mathematics

article

Mohammed El Mokhtar Ould El Mokhtar¹ 

[1] Department of Mathemtics, Qassim University

关键词: Cylindrical potential;    Palais-Smale condition;    Nehari manifold;    Critical exponent;   

DOI  :  10.4172/2168-9679.1000248

来源: Hilaris Publisher

【 摘 要 】

In this paper we prove the existence and multiplicity of solutions for p-laplacian problem with decaying cylindrical potential and critical exponent by using Palais-Smale condition and by splitting the Nehari manifold N in two disjoint subsets N+ and N-, thus considering the minimization problems on N+ and N- respectively.

【 授权许可】

Unknown