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arXiv · 2105.10858

Existence result for fractional problems with logarithmic and critical exponential nonlinearities

Yuanyuan Zhang·Yang Yang
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Abstract

We study the existence of nontrivial solutions for a nonlinear fractional elliptic equation in presence of logarithmic and critical exponential nonlinearities. This problem extends [5] to fractional $N/s$-Laplacian equations with logarithmic nonlinearity. We overcome the lack of compactness due to the critical exponential nonlinearity by using the fractional Trudinger-Moser inequality. The existence result is established via critical point theory.

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Yuanyuan Zhang, Yang Yang. 2021-05-23. Existence result for fractional problems with logarithmic and critical exponential nonlinearities. https://arxiv.org/abs/2105.10858

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