Existence and concentration of positive solutions for a quasilinear equation inRN

Autor:	Elisandra Gloss
Rok vydání:	2010
Předmět:	Concentration Quasilinear equation Non linearite Applied Mathematics Mathematical analysis Schrödinger equation Infimum and supremum Domain (mathematical analysis) Elliptic curve Nonlinear system symbols.namesake Variational methods Bounded function symbols Analysis Mathematical physics Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 371:465-484
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2010.05.033
Popis:	We study existence and concentration of positive solutions for quasilinear elliptic equations of the form − e 2 Δ u − e 2 Δ ( u 2 ) u + V ( x ) u = h ( u ) in R N , N ⩾ 3 , as e → 0 , where the potential V : R N → R has a positive infimum and inf ∂ Ω V > inf Ω V for some bounded domain Ω in R N and h is a nonlinearity without some growth conditions such as Ambrosetti–Rabinowitz.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b7a429c1da206f6634e1480c8e4d70a https://doi.org/10.1016/j.jmaa.2010.05.033 Zobrazit plný text záznamu Full Text from ScienceDirect