학술논문
A variational method for boundary value problems with discontinuous nonlinearities.
Document Type
Journal
Author
Stuart, C. A. AMS Author Profile; Toland, J. F. AMS Author Profile
Source
Subject
35 Partial differential equations -- 35J Elliptic equations and systems
35J20Variational methods for second-order elliptic equations
35J20
Language
English
Abstract
Let $\Omega$ be a bounded domain in ${\bf R}^n$, which satisfies the cone property, let $p\in L^2(\Omega)$, let $f\in\text{BV}({\bf R})$, the set of real functions of bounded variation on compact intervals. Let $U(f)=\{t\in{\bf R}\colon f(t-)