A new method for obtaining eigenvalues of variational inequalities. Branches of eigenvalues of the equation with the penalty in a special case
Milan Kučera (1979)
Časopis pro pěstování matematiky
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Milan Kučera (1979)
Časopis pro pěstování matematiky
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Karl P. Hadeler (1974)
Acta Universitatis Carolinae. Mathematica et Physica
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Milan Kučera (1979)
Časopis pro pěstování matematiky
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Julián Fernández Bonder, Julio D. Rossi (2002)
Publicacions Matemàtiques
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In this paper we study the Sobolev trace embedding W(Ω) → L (∂Ω), where V is an indefinite weight. This embedding leads to a nonlinear eigenvalue problem where the eigenvalue appears at the (nonlinear) boundary condition. We prove that there exists a sequence of variational eigenvalues λ / +∞ and then show that the first eigenvalue is isolated, simple and monotone with respect to the weight. Then we prove a nonexistence result related to the first eigenvalue and we end...