Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent

Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev–Hardy critical exponent

Abstract In this paper, we discuss a class of Kirchhof-type elliptic boundary value problem with Sobolev–Hardy critical exponent and apply the variational method to obtain one positive solution and two nontrivial solutions to the problem under certain conditions.

Bibliographic Details
Main Authors:	Hongsen Fan, Zhiying Deng
Format:	Article
Language:	English
Published:	SpringerOpen 2021-05-01
Series:	Boundary Value Problems
Subjects:	Kirchhof-type equation Positive solution Sobolev–Hardy critical exponent Mountain pass theorem
Online Access:	https://doi.org/10.1186/s13661-021-01521-w

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