A Dirichlet problem with asymptotically linear and changing sign nonlinearity

  • Marcello Lucia
  • Paola Magrone
  • Huan-Song Zhou

Resumo

This paper deals with the problem of finding positive solutions to the equation ¡¢u = g(x; u) on a bounded domain ­; with Dirichlet boundary conditions. The function g can change sign and has asymptotically linear behaviour. The solutions are found using the Mountain Pass Theorem.

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Publicado
2003-01-01
Como Citar
Lucia M., Magrone P. y Zhou H.-S. (2003). A Dirichlet problem with asymptotically linear and changing sign nonlinearity. Revista Matemática Complutense, 16(2), 465-481. https://doi.org/10.5209/rev_REMA.2003.v16.n2.16821
Secção
Artículos