A Linking Type Method to Solve a Class of Semilinear Elliptic Variational Inequalities
The aim of this paper is to study the existence of a nontrivial solution of the following semilinear elliptic variational inequality where Ω is an open bounded subset of ℝ (N ≥ 1), λ is a real parameter, with ≥ λ the first eigenvalue of the operator Δ in H (Ω), ψ belongs to H (Ω), ψ ≥ 0 and p is a C...
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Published in | Advanced nonlinear studies Vol. 2; no. 1; pp. 1 - 17 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Advanced Nonlinear Studies, Inc
01.02.2002
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Subjects | |
Online Access | Get full text |
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Summary: | The aim of this paper is to study the existence of a nontrivial solution of the following semilinear elliptic variational inequality
where Ω is an open bounded subset of ℝ
(N ≥ 1), λ is a real parameter, with
≥ λ
the first eigenvalue of the operator
Δ in H
(Ω), ψ belongs to H
(Ω), ψ
≥ 0
and p is a Carathéodory function on Ω ×
ℝ, which satisfies some general superlinearity growth conditions at zero and at infinity. |
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ISSN: | 1536-1365 2169-0375 |
DOI: | 10.1515/ans-2002-0101 |