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Semilinear elliptic equations for the fractional Laplacian involving critical exponential growth
Author(s) -
de Souza Manassés,
Araújo Yane Lisley
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4095
Subject(s) - mathematics , mathematical proof , laplace operator , multiplicity (mathematics) , exponential growth , operator (biology) , exponential function , mountain pass theorem , fractional laplacian , mathematical analysis , pure mathematics , nonlinear system , geometry , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene
We establish the existence and multiplicity of weak solutions for a class of nonlocal equations involving the fractional Laplacian operator, nonlinearities with critical exponential growth, and potentials that may change sign. The proofs of our existence results rely on minimization methods and the mountain pass theorem. Copyright © 2016 John Wiley & Sons, Ltd.