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.
Format:	Artikel
Sprache:	eng
Schlagworte:	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
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Beschreibung
Zusammenfassung:	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.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2010.05.033