Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707571 | Applied Mathematics Letters | 2016 | 7 Pages |
Abstract
In this work, we study the existence of multiple solutions to the quasilinear Schrödinger system of kk equations −Δpuj+aj(x)|uj|p−2uj=μj|uj|q−2uj+12∑i≠jβij|ui|m|uj|m−2uj,x∈RN, with uj(x)→0uj(x)→0 as |x|→∞,j=1,2,…,k|x|→∞,j=1,2,…,k, and N≥2,1
0,βij=βjiμj>0,βij=βji for i≠j,j=1,…,ki≠j,j=1,…,k. We develop a new technique to verify the (PS)(PS) condition and then apply a version of mountain pass lemma to prove the existence of infinitely many nonnegative solutions to the above system.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Caisheng Chen,