On multiple solutions of a nonlinear Dirichlet problem

Alfonso Castro, Jorge Cossio, John M Neuberger

Research output: Contribution to journal › Article

10 Citations (Scopus)

Abstract

We prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonradial.

Original languageEnglish (US)
Pages (from-to)3657-3662
Number of pages6
JournalNonlinear Analysis, Theory, Methods and Applications
Volume30
Issue number6
StatePublished - Dec 1997
Externally publishedYes

Fingerprint

Semilinear Elliptic Boundary Value Problem
Semilinear Elliptic Problem
Sign Change
Multiple Solutions
Dirichlet Problem
Nonlinear Problem
Ball
Nonlinearity
Eigenvalue
Derivative
Range of data
Boundary value problems
Derivatives

Keywords

  • Multiplicity of solutions
  • Nonlinear Dirichlet problem

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

On multiple solutions of a nonlinear Dirichlet problem. / Castro, Alfonso; Cossio, Jorge; Neuberger, John M.

In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 30, No. 6, 12.1997, p. 3657-3662.

Research output: Contribution to journal › Article

Castro, A, Cossio, J & Neuberger, JM 1997, 'On multiple solutions of a nonlinear Dirichlet problem', Nonlinear Analysis, Theory, Methods and Applications, vol. 30, no. 6, pp. 3657-3662.
Castro A, Cossio J, Neuberger JM. On multiple solutions of a nonlinear Dirichlet problem. Nonlinear Analysis, Theory, Methods and Applications. 1997 Dec;30(6):3657-3662.
Castro, Alfonso ; Cossio, Jorge ; Neuberger, John M. / On multiple solutions of a nonlinear Dirichlet problem. In: Nonlinear Analysis, Theory, Methods and Applications. 1997 ; Vol. 30, No. 6. pp. 3657-3662.
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