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On a nonlinear elliptic eigenvalue problem
Authors:Shaowei Chen
Institution:Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, PR China
Abstract:Let N(λ) be the number of the solutions of the equation: View the MathML source, where Ω is a bounded domain in View the MathML source with smooth boundary. Under suitable conditions on f, we proved that N(λ)→+∞ as λ→+∞.
Keywords:Nonlinear eigenvalue problem  Perturbation from symmetry  Minimax theorem
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