| Issue |
ESAIM: COCV
Volume 20, Number 2, April-June 2014
|
|
|---|---|---|
| Page(s) | 389 - 415 | |
| DOI | https://doi.org/10.1051/cocv/2013068 | |
| 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
Pará, 66.075-110
Belém, Pará, Brazil
Received:
29
November
2012
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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