Abstract

AbstractThis paper studies the nonlocal fractional analog of the famous paper of Brezis and Nirenberg [Comm. Pure Appl. Math. 36 (1983), no. 4, 437–477]. Namely, we focus on the following model: where is the fractional Laplace operator, , with , , , and establish the existence of nontrivial solutions and sign‐changing solutions for the problem .

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