A critical Kirchhoff‐type problem involving the ‐Laplacian |
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| Authors: | L Vilasi |
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| Institution: | Department of Mathematics and Computer Science, University of Messina, Viale F. Stagno d'Alcontres, , Messina, Italy |
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| Abstract: | In this paper we provide an existence result for a nonlocal problem of Kirchhoff‐type which involves both the p‐ and the q‐Laplacian and contains a critical term. Our approach is variational: we derive the existence of one non‐trivial solution via the multidimensional mountain pass theorem. |
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| Keywords: | Critical growth Kirchhoff‐type problem p and q‐Laplacian 35J20 35J25 |
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