Multiple solutions for a Robin‐type differential inclusion problem involving the p(x)‐Laplacian

Multiple solutions for a Robin‐type differential inclusion problem involving the p(x)‐Laplacian

In this paper, we obtain the existence of at least two nontrivial solutions for a Robin‐type differential inclusion problem involving p(x)‐Laplacian type operator and nonsmooth potentials. Our approach is variational, and it is based on the nonsmooth critical point theory for locally Lipschitz funct...

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Veröffentlicht in:Mathematical methods in the applied sciences 2017-12, Vol.40 (18), p.6229-6238
Hauptverfasser: Ge, Bin, Zhou, Qing‐Mei
Format: Artikel
Sprache:eng
Schlagworte:
Critical point
differential inclusion
Eigenvalue problem
Multiple solutions
Operators (mathematics)
p(x)‐Laplacian
Robin problem
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Zusammenfassung:In this paper, we obtain the existence of at least two nontrivial solutions for a Robin‐type differential inclusion problem involving p(x)‐Laplacian type operator and nonsmooth potentials. Our approach is variational, and it is based on the nonsmooth critical point theory for locally Lipschitz functions. Copyright © 2013 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.2760