Study on ground state solutions of fractional Laplace equations with logarithmic nonlinearity

Yan Sun

doi:10.1117/12.2627609

22 April 2022 Study on ground state solutions of fractional Laplace equations with logarithmic nonlinearity

Yan Sun

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121633H (2022) https://doi.org/10.1117/12.2627609
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

In this paper, we study the existence of the solutions of fractional Laplace equations with logarithmic nonlinearity by using the fractional logarithmic Sobolev inequality and the linking theorem, we present the existence theorem of the ground state solutions for the nonlocal problem.

Citation Download Citation

Yan Sun "Study on ground state solutions of fractional Laplace equations with logarithmic nonlinearity", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121633H (22 April 2022); https://doi.org/10.1117/12.2627609

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