Existence and Uniqueness of Weak solution of $ p( x ) $- laplacian in Sobolev spaces with variable exponents in complete manifolds

Autor:	Benslimane, Omar, Aberqi, Ahmed, Bennouna, Jaouad
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	The paper deals with the existence and uniqueness of a non-trivial solution to non-homogeneous $ p ( x ) -$laplacian equations, managed by non polynomial growth operator in the framework of variable exponent Sobolev spaces on Riemannian manifolds. The mountain pass Theorem is used.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.04763 Zobrazit plný text záznamu View this record from Arxiv