Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent |
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| Authors: | Gabriele Bonanno Antonia Chinnì |
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| Institution: | Department of Civil, Information Technology, Construction, Environmental Engineering and Applied Mathematics, University of Messina, 98166 Messina, Italy |
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| Abstract: | Under appropriate growth conditions on the nonlinearity, the existence of multiple solutions for nonlinear elliptic Dirichlet problems with variable exponent is established. The approach is based on variational methods. Some applications and examples illustrate the obtained results. |
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| Keywords: | p(x)-Laplacian" target="_blank">gif" overflow="scroll">p(x)-Laplacian Variable exponent Sobolev spaces |
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