Entire solutions of Schrödinger elliptic systems with discontinuous nonlinearity and sign-changing potential

Details Entire solutions of Schrödinger elliptic systems with discontinuous nonlinearity and sign-changing potential Entire solutions of Schrödinger elliptic systems with discontinuous nonlinearity and sign-changing potential

2005-11-08

arxiv.org/abs/math/0511192v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

We establish the existence of an entire solution for a class of stationary Schr\"{o}dinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow-up at infinity. The proof is based on the critical point theory in the sense of Clarke and we apply Chang's version of the Mountain Pass Lemma for locally Lipschitz functionals. Our result generalizes in a nonsmooth framework a result of Rabinowitz \cite{rabi} related to entire solutions of the Schr\"{o}dinger equation.

Affiliated with

Also associated with

No associations

Rating

Entire solutions of Schrödinger elliptic systems with discontinuous nonlinearity and sign-changing potential 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 Entire solutions of Schrödinger elliptic systems with discontinuous nonlinearity and sign-changing potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entire solutions of Schrödinger elliptic systems with discontinuous nonlinearity and sign-changing potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-293926