Volume 32, Issue 2
Existence of Solutions to Elliptic Equation with Exponential Nonlinearities and Singular Term

Yimin Xue & Shouting Chen

J. Part. Diff. Eq., 32 (2019), pp. 156-170.

Published online: 2019-07

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35J60, 46E35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

xueym@xzit.edu.cn (Yimin Xue)

stchen1980@163.com (Shouting Chen)

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