A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS

A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS

We study the solvability of the problem -<FONT FACE=Symbol>Du</FONT> = <FONT FACE=Symbol>¦</FONT>(x, u) + h in <FONT FACE=Symbol>W  </FONT>; u = 0 on <FONT FACE=Symbol>¶W</FONT> when the monlinearity f is assumed to lie asymptotically between two non -...

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Autor principal: MOUSSAOUI,M.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2001
Materias:
Eigenvalue
resonance
nonresonance
variational method
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000100004
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spelling oai:scielo:S0716-091720010001000042001-10-08A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODSMOUSSAOUI,M.MOUSSAOUI,M. Eigenvalue resonance nonresonance variational method We study the solvability of the problem -<FONT FACE=Symbol>Du</FONT> = <FONT FACE=Symbol>¦</FONT>(x, u) + h in <FONT FACE=Symbol>W  </FONT>; u = 0 on <FONT FACE=Symbol>¶W</FONT> when the monlinearity f is assumed to lie asymptotically between two non - consecutive eigenvalues of -delta. We show that this problem is nonresonant.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.20 n.1 20012001-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000100004en10.4067/S0716-09172001000100004
institution Scielo Chile
collection Scielo Chile
language English
topic Eigenvalue
resonance
nonresonance
variational method
spellingShingle Eigenvalue
resonance
nonresonance
variational method
MOUSSAOUI,M.
MOUSSAOUI,M.
A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS
description We study the solvability of the problem -<FONT FACE=Symbol>Du</FONT> = <FONT FACE=Symbol>¦</FONT>(x, u) + h in <FONT FACE=Symbol>W  </FONT>; u = 0 on <FONT FACE=Symbol>¶W</FONT> when the monlinearity f is assumed to lie asymptotically between two non - consecutive eigenvalues of -delta. We show that this problem is nonresonant.
author MOUSSAOUI,M.
MOUSSAOUI,M.
author_facet MOUSSAOUI,M.
MOUSSAOUI,M.
author_sort MOUSSAOUI,M.
title A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS
title_short A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS
title_full A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS
title_fullStr A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS
title_full_unstemmed A NONRESONANCE BETWEEN NON-CONSECUTIVE EIGENVALUES OF SEMILINEAR ELLIPTIC EQUATIONS: VARIATIONAL METHODS
title_sort nonresonance between non-consecutive eigenvalues of semilinear elliptic equations: variational methods
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2001
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000100004
work_keys_str_mv AT moussaouim anonresonancebetweennonconsecutiveeigenvaluesofsemilinearellipticequationsvariationalmethods
AT moussaouim anonresonancebetweennonconsecutiveeigenvaluesofsemilinearellipticequationsvariationalmethods
AT moussaouim nonresonancebetweennonconsecutiveeigenvaluesofsemilinearellipticequationsvariationalmethods
AT moussaouim nonresonancebetweennonconsecutiveeigenvaluesofsemilinearellipticequationsvariationalmethods
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