A Dirichlet problem with asymptotically linear and changing sign nonlinearity

  • Marcello Lucia
  • Paola Magrone
  • Huan-Song Zhou
DOI: https://doi.org/10.5209/rev_REMA.2003.v16.n2.16821
Keywords: Elliptic equation, Asymptotically linear nonlinearity, Mountain Pass Theorem

Abstract

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. 2000 Mathematics Sub ject Classification: 35J20, 35J65.

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Published
2003-01-01
How to Cite
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
Issue
Vol. 16 No. 2 (2003)
Section
Articles

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