Advances in Differential Equations

On some general semilinear elliptic problems with nonlinear boundary conditions

Bernard Brighi and Mythily Ramaswamy

Full-text: Open access

Abstract

We investigate the existence of solutions for a large class of semilinear elliptic problems with nonlinear Neumann boundary conditions. We study separately the one-dimensional case and show how to count the solutions. In higher dimension we give existence results under some compactness assumption.

Article information

Source
Adv. Differential Equations, Volume 4, Number 3 (1999), 369-390.

Dates
First available in Project Euclid: 15 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1366031040

Mathematical Reviews number (MathSciNet)
MR1671255

Zentralblatt MATH identifier
0948.35047

Subjects
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 34B15: Nonlinear boundary value problems 35K60: Nonlinear initial value problems for linear parabolic equations

Citation

Brighi, Bernard; Ramaswamy, Mythily. On some general semilinear elliptic problems with nonlinear boundary conditions. Adv. Differential Equations 4 (1999), no. 3, 369--390. https://projecteuclid.org/euclid.ade/1366031040


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