Differential and Integral Equations

A variational viewpoint on the existence of three solutions for some nonlinear elliptic problems

A. M. Micheletti and A. Pistoia

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Abstract

We obtain, under weaker assumptions, a result of Dancer, Lazer-McKenna on the existence of at least three solutions for some elliptic problems with jumping nonlinearities by means of simple variational tools.

Article information

Source
Differential Integral Equations, Volume 9, Number 5 (1996), 1029-1042.

Dates
First available in Project Euclid: 6 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367871529

Mathematical Reviews number (MathSciNet)
MR1392093

Zentralblatt MATH identifier
0851.35042

Subjects
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 35J25: Boundary value problems for second-order elliptic equations 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)

Citation

Micheletti, A. M.; Pistoia, A. A variational viewpoint on the existence of three solutions for some nonlinear elliptic problems. Differential Integral Equations 9 (1996), no. 5, 1029--1042. https://projecteuclid.org/euclid.die/1367871529


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