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Multiple Solutions for a Class of Semilinear Elliptic Equations with Nonlinear Boundary Conditions
Department of Mathematics, University of Shanghai for Science and Technology, Shanghai, China
- 1 Department of Mathematics, University of Shanghai for Science and Technology, Shanghai, China
Applied Mathematics·Volume 05 (2013)·Pages 90–95·Published 25 December 2013·DOI10.4236/am.2014.51010
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Abstract
In this paper, using Local Linking Theorem, we obtain the existence of multiple solutions for a class of semilinear elliptic equations with nonlinear boundary conditions, in which the nonlinearites are compared with higher Neumann eigenvalue and the first Steklov eigenvalue.
KeywordsMultiple SolutionsNonlinear Boundary ConditionsLocal Linking Theorem
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