Existence of Solutions to Elliptic Equation with Exponential Nonlinearities and Singular Term

Yimin Xue; Shouting Chen

doi:10.4208/jpde.v32.n2.5

Existence of Solutions to Elliptic Equation with Exponential Nonlinearities and Singular Term

Authors

Yimin Xue School of Mathematics and Physics, Xuzhou University of Technology, Xuzhou 221018, China
Shouting Chen School of Mathematics and Physics, Xuzhou University of Technology, Xuzhou 221018, China

DOI:

https://doi.org/10.4208/jpde.v32.n2.5

Keywords:

Singular Trudinger-Moser inequality;Mountain-pass theorem;exponential growth.

Abstract

In this paper, we consider an elliptic equation with exponential nonlinearities and singular term. By constructing the corresponding variational framework, and using a Singular Trudinger-Moser inequality due to Li, Mountain-pass theorem and the Ekeland’s variational principle, we get a nontrivial positive weak solution.

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Published

2019-07-15

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Issue

Vol. 32 No. 2 (2019)

Section

Articles

How to Cite

Existence of Solutions to Elliptic Equation with Exponential Nonlinearities and Singular Term. (2019). Journal of Partial Differential Equations, 32(2), 156-170. https://doi.org/10.4208/jpde.v32.n2.5