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arxiv: 1404.1132 · v2 · pith:I2GZY2ZNnew · submitted 2014-04-04 · 🧮 math.AP

Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings

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keywords ellipticequationsinfinitelymanynonlocalsemilinearsettingssolutions
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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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