Eigenvalue problems with fully discontinuous operators and critical exponents

We construct here more examples of ρ ⃗ -multivoque Leray–Lions operators that are strongly monotonic and we introduce a new abstract theorem on critical points for multivalued operators available for unbounded domains.

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Veröffentlicht in:Nonlinear analysis 2010-10, Vol.73 (7), p.2036-2055
Hauptverfasser: Chrayteh, H., Rakotoson, J.M.
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description We construct here more examples of ρ ⃗ -multivoque Leray–Lions operators that are strongly monotonic and we introduce a new abstract theorem on critical points for multivalued operators available for unbounded domains.
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source Elsevier ScienceDirect Journals Complete - AutoHoldings
subjects Banach function norms
Clarke subdifferential
Construction
Critical point
Eigenvalues
Exact sciences and technology
Exponents
Mathematical analysis
Mathematics
Mountain pass theorem
Multivoque operators
Nonlinear algebraic and transcendental equations
Nonlinear eigenvalues
Nonlinearity
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Operators
Partial differential equations
Sciences and techniques of general use
Theorems
title Eigenvalue problems with fully discontinuous operators and critical exponents
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