Quasilinear Schrödinger Equations with Asymptotically Linear Nonlinearities

Autor:	Edcarlos D. Silva, Maxwell L. Silva, Marcelo F. Furtado
Rok vydání:	2014
Předmět:	010101 applied mathematics symbols.namesake Asymptotically linear General Mathematics 010102 general mathematics symbols Statistical and Nonlinear Physics 0101 mathematics 01 natural sciences Schrödinger equation Mathematics Mathematical physics
Zdroj:	Advanced Nonlinear Studies. 14:671-686
ISSN:	2169-0375 1536-1365
Popis:	We deal with the existence of nonzero solution for the quasilinear Schrödinger equation −Δu + V(x)u − Δ(u2)u = g(x, u), x ∈ ℝN, u ∈ H1(ℝN), where V is a positive potential and the nonlinearity g(x, s) behaves like K0(x)s at the origin and like K∞(x)|s|p, 1 ≤ p ≤ 3, at infinity. In the proofs we apply minimization methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d73eb44f78550e177686afe44b7eee08 https://doi.org/10.1515/ans-2014-0309 Zobrazit plný text záznamu