p-Laplacian equation with finitely many critical nonlinearities

Date

2021-12-24

Authors

Xia, Pengcheng
Su, Yu

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article concerns the ground state solution of the p-Laplacian equation with finitely many critical nonlinearities. By using the refined Sobolev inequality with Morrey norm and variational methods, we establish the existence of nonnegative ground state solution.

Description

Keywords

p-Laplacian equation, Critical exponent, Ground state solution, Mountain pass theorem

Citation

Xia, P., & Su, Y. (2021). p-Laplacian equation with finitely many critical nonlinearities. <i>Electronic Journal of Differential Equations, 2021</i>(102), pp. 1-11.

Rights

Attribution 4.0 International

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