Nonlinear boundary value problems of a class of elliptic equations involving critical variable exponents

Nonlinear boundary value problems of a class of elliptic equations involving critical variable exponents

Abstract In this paper, we first obtain the existence of solutions for a class of elliptic equations involving critical variable exponents and nonlinear boundary values by the mountain pass theorem and concentration compactness principle. Then, under suitable assumptions, we obtain a sequence of sol...

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Bibliographic Details
Main Authors: Yingying Shan, Yongqiang Fu
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Boundary Value Problems
Subjects:
Variable exponent Sobolev space
Weak solution
Mountain pass theorem
Fountain Theorem
Variational method
Online Access:http://link.springer.com/article/10.1186/s13661-019-1231-z

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