Existence results for a class of nonlocal problems involving p(x)‐Laplacian |
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| Authors: | Mostafa Allaoui Abdel Rachid El Amrouss Anass Ourraoui |
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| Affiliation: | University Mohammed, Faculty of Sciences, Department of Mathematics, Oujda, Morocco |
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| Abstract: | This paper is concerned with the existence of solutions to a class of p(x)‐Kirchhoff‐type equations with Dirichlet boundary data as follows: ![urn:x-wiley:mma:media:mma3524:mma3524-math-0001]( "urn:x-wiley:mma:media:mma3524:mma3524-math-0001") By means of variational methods and the theory of the variable exponent Sobolev spaces, we establish some conditions on the existence of solutions. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | p(x)‐Kirchhoff type p(x)‐Laplacian variable exponent Sobolev spaces |
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