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Multiple solutions for some elliptic equations with non-homogeneous boundary conditions. - MaRDI portal

Multiple solutions for some elliptic equations with non-homogeneous boundary conditions. (Q1875184)

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scientific article; zbMATH DE number 2095011
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Multiple solutions for some elliptic equations with non-homogeneous boundary conditions.
scientific article; zbMATH DE number 2095011

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    Multiple solutions for some elliptic equations with non-homogeneous boundary conditions. (English)
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    26 August 2004
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    In this paper we state the existence of infinitely many solutions of the nonlinear elliptic equation \(-\Delta u=a(x)|u|^{q-2}u+b(x)|u|^{p-2}u+f(x)\) with non-homogeneous boundary conditions. A suitable perturbative method and variational tools apply to such a non-symmetric problem.
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