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arXiv · 2010.05578

On the study of semilinear non-local elliptic systems

Debangana Mukherjee·Debopriya Mukherjee
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Abstract

The purpose of this paper is to study the existence of solutions for semilinear elliptic system driven by fractional Laplacian and establish some new existence results which are obtained by virtue of the local linking theorem and the saddle point theorem. To make the nonlinear scheme feasible, rigorous analysis of the function space involved and corresponding energy functional is necessary.

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Debangana Mukherjee, Debopriya Mukherjee. 2020-10-12. On the study of semilinear non-local elliptic systems. https://arxiv.org/abs/2010.05578

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