Semiclassical standing waves with clustering peaks for nonlinear Schrodinger equations
Jaeyoung Byeon, Kazunaga Tanaka
The authors study the following singularly perturbed problem: - 2 ?u V(x)u=f(u) in R N . Their main result is the existence of a family of solutions with peaks that cluster near a local maximum of V(x) . A local variational and deformation argument in an infinite dimensional space is developed to establish the existence of such a family for a general class of nonlinearities f
Kategoriler:
Yıl:
2014
Yayımcı:
Amer Mathematical Society
Dil:
english
Sayfalar:
104
ISBN 10:
0821891634
ISBN 13:
9780821891636
Seriler:
Memoirs of the American Mathematical Society 1076
Dosya:
PDF, 841 KB
IPFS:
,
english, 2014