On existence and stability of solutions for higher order semilinear Dirichlet problems |
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| Authors: | Marek Galewski |
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| Affiliation: | (1) Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland |
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| Abstract: | We provide existence and stability results for semilinear Dirichlet problems with nonlinearity satisfying general growth conditions. We consider the case when both the coefficients of the differential operator and the nonlinear term depend on the numerical parameter. We show applications for the fourth order semilinear Dirichlet problem. |
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| Keywords: | Dirichlet problem dual variational method existence of solutions stability |
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