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arXiv · 1404.1132

Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings

Woocheol Choi·Jinmyoung Seok
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Abstract

In this paper, we study a class of semilinear nonlocal elliptic equations posed on settings without compact Sobolev embedding. More precisely, we prove the existence of infinitely many solutions to the fractional Brezis-Nirenberg problems on bounded domain.

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Woocheol Choi, Jinmyoung Seok. 2015-03-08. Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings. https://arxiv.org/abs/1404.1132

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