A remark on natural constraints in variational methods and an application to superlinear Schrödinger systems

Details A remark on natural constraints in variational methods and an application to superlinear Schrödinger systems A remark on natural constraints in variational methods and an application to superlinear Schrödinger systems

2011-12-14

arxiv.org/abs/1112.3159v1

Mathematics

Analysis of PDEs

21 pages

Scientific paper

For a regular functional J defined on a Hilbert space X, we consider the set N of points x of X such that the projection of the gradient of J at x onto a closed linear subspace V(x) of X vanishes. We study sufficient conditions for a constrained critical point of J restricted to N to be a free critical point of J, providing a unified approach to different natural constraints known in the literature, such as the Birkhoff-Hestenes natural isoperimetric conditions and the Nehari manifold. As an application, we prove multiplicity of solutions to a class of superlinear Schr\"odinger systems on singularly perturbed domains.

Affiliated with

Also associated with

No associations

Rating

A remark on natural constraints in variational methods and an application to superlinear Schrödinger systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A remark on natural constraints in variational methods and an application to superlinear Schrödinger systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A remark on natural constraints in variational methods and an application to superlinear Schrödinger systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-226020