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

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

Year:    2019

Author:    Yimin Xue, Shouting Chen

Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 2 : pp. 156–170

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 2 : pp. 156–170

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Singular Trudinger-Moser inequality

Author Details

Yimin Xue

Shouting Chen