An Existence Result for a Fractional Critical (p, q)-Laplacian Problem with Discontinuous Nonlinearity

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作者
Vincenzo Ambrosio
Daniela Di Donato
机构
[1] Università Politecnica delle Marche,Dipartimento di Ingegneria Industriale e Scienze Matematiche
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关键词
Fractional nonlocal operators; discontinuous nonlinearity; critical exponent; 35R11; 49J52; 35J92; 35B09; 35B33;
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摘要
In this paper, we establish the existence of a nonnegative nontrivial weak solution for a fractional critical (p, q)-Laplacian problem with discontinuous nonlinearity. The approach is based on suitable variational methods.
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