Advances in Differential Equations

On some general semilinear elliptic problems with nonlinear boundary conditions

Bernard Brighi and Mythily Ramaswamy

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.


Export citation