Existence of solution for a quasilinear elliptic Neumann problem involving multiple critical exponents

Existence of solution for a quasilinear elliptic Neumann problem involving multiple critical exponents

Abstract In this paper, we study the Neumann boundary value problem to a quasilinear elliptic equation with the critical Sobolev exponent and critical Hardy–Sobolev exponent, and prove the existence of nontrivial nonnegative solution by means of variational method.

Bibliographic Details
Main Authors: Yuanxiao Li, Xiying Wang
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Boundary Value Problems
Subjects:
Quasilinear elliptic equation
Nontrivial weak solution
Multiple critical exponents
Variational method
Online Access:http://link.springer.com/article/10.1186/s13661-020-01353-0

Internet

http://link.springer.com/article/10.1186/s13661-020-01353-0

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