Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos

Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos

We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous and changes sign. This study is realized us...

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Veröffentlicht in:Selecciones matemáticas : revista científica del Departamento Académico de Matemáticas 2020-07, Vol.7 (1), p.42-51
Hauptverfasser: Marco Calahorrano, Israel Cevallos
Format: Artikel
Sprache:spa
Schlagworte:
boundary value problem
change of sign
radial solution
semilinear equation
symmetric domain
unit ball
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Zusammenfassung:We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous and changes sign. This study is realized using variational tecniques and especially the Ambrosetti-Rabinowitz’s “Mountain Pass Lemma”.
ISSN:2411-1783
DOI:10.17268/sel.mat.2020.01.05