Differential and Integral Equations
- Differential Integral Equations
- Volume 8, Number 6 (1995), 1555-1569.
A general approach to solvability conditions for semilinear elliptic boundary value problems at resonance
Several well-known existence theorems and several new existence theorems for semilinear elliptic boundary value problems at resonance are shown to be corollaries of a single abstract result. The proofs rely on Leray-Schauder degree theory and the approximate domain method.
Differential Integral Equations, Volume 8, Number 6 (1995), 1555-1569.
First available in Project Euclid: 15 May 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 34B15: Nonlinear boundary value problems 47H12 47N20: Applications to differential and integral equations
Robinson, S. B.; Landesman, E. M. A general approach to solvability conditions for semilinear elliptic boundary value problems at resonance. Differential Integral Equations 8 (1995), no. 6, 1555--1569. https://projecteuclid.org/euclid.die/1368638181