p-Laplacian equation with finitely many critical nonlinearities

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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.
URI
https://hdl.handle.net/10877/16284
Collections
Electronic Journal of Differential Equations