机构:
Univ Urbino Carlo Bo, Dipartimento Sci Pure & Applicate DiSPeA, Piazza Repubbl 13, I-61029 Urbino, ItalyUniv Fed Campina Grande, Unidade Acad Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
Bisci, Giovanni Molica
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Torres Ledesma, Cesar E.
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机构:
Univ Nacl Trujillo, Dept Matemat, Av Juan Pablo II S-N, Trujillo, PeruUniv Fed Campina Grande, Unidade Acad Matemat, BR-58429970 Campina Grande, Paraiba, Brazil
This work concerns with the existence of solutions for the following class of nonlocal elliptic problems {(-Delta)(s) u + u = vertical bar u vertical bar(p-2) u in Omega, u >= 0 in Omega and u not equivalent to 0, u = 0 R-N\ Omega, involving the fractional Laplacian operator (-Delta)(s) , where s is an element of (0, 1), N > 2s, Omega subset of R-N is an exterior domain with (non-empty) smooth boundary partial derivative Omega and p is an element of (2, 2(s)*). The main technical approach is based on variational and topological methods. The variational analysis that we perform in this paper dealing with exterior domains is quite general and may be suitable for other goals too. (C) 2019 Elsevier Inc. All rights reserved.
机构:
Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
Ao, Weiwei
Liu, Chao
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机构:
Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
Liu, Chao
Wang, Liping
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机构:
East China Normal Univ, Dept Math, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R ChinaWuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China