Volume 20, Number 2, April-June 2014
|Page(s)||389 - 415|
|Published online||03 March 2014|
Multiplicity and concentration behavior of positive solutions for a Schrödinger–Kirchhoff type problem via penalization method∗,∗∗
Faculdade de Matemática, Universidade Federal do
Belém, Pará, Brazil
Revised: 19 June 2013
In this paper we are concerned with questions of multiplicity and concentration behavior of positive solutions of the elliptic problem
where ε is a small positive parameter, f : ℝ → ℝ is a continuous function, is a nonlocal operator defined by
M : IR+ → IR+ and V : IR3 → IR are continuous functions which verify some hypotheses.
Mathematics Subject Classification: 35J65 / 34B15
Key words: Penalization method / Schrödinger–Kirchhoff type problem / Lusternik–Schnirelmann Theory / Moser iteration
© EDP Sciences, SMAI, 2014
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