Multiple solutions for prescribed boundary value problem

DSpace Repository

Multiple solutions for prescribed boundary value problem

Details

Files for download

Find Full text There are no files associated with this item..

Overview of item record
Publication Article, peer reviewed scientific
Title Multiple solutions for prescribed boundary value problem
Author Cheng, Yuanji
Date 2002
English abstract
We, in this paper, consider the semilinear elliptic boundary value problem - ∆u = f(x, u) in Ω and u = g on ∂Ω and the corresponding Bolza problem x'' + ∂V(t, x) =0, x(0)= x0, x(T)= x1, where Ω is a bounded open subset in R^n with C² boundary and g is a given continuous function on the boundary of Ω; and T is the given traveling time, x0,x1 are two fixed points in the state space Rn. Under certain conditions on f and V, we show that the above problems have infinitely many solutions
DOI https://doi.org/10.1016/S0362-546X(01)00844-6 (link to publisher's fulltext.)
Publisher Elsevier Science Ltd.
Host/Issue Nonlinear Analysis: Theory, Methods & Applications;3
Volume 51
ISSN 0362-546X
Pages 537-552
Language eng (iso)
Subject critical point theory
infinitely many solutions
non-symmetric functional
prescribed boundary
semilinear elliptic equations
Sciences
Research Subject Categories::MATHEMATICS
Handle http://hdl.handle.net/2043/10610 Permalink to this page
Facebook

This item appears in the following Collection(s)

Details

Search


Browse

My Account

Statistics