TY - JOUR
T1 - Existence and Concentration Result for the Kirchhoff Type Equations with General Nonlinearities
AU - Figueiredo, Giovany M.
AU - Ikoma, Norihisa
AU - Santos Júnior, João R.
N1 - Funding Information:
João R. Santos Júnior: Partially supported by CAPES - Brazil - 7155123/2012-9.
Funding Information:
Norihisa Ikoma: Partially supported by JSPS Research Fellowships 24-2259.
Funding Information:
Giovany M. Figueiredo: Supported by PROCAD/CASADINHO: 552101/2011-7, CNPq/PQ 301242/2011-9 and CNPQ/CSF 200237/2012-8.
PY - 2014/6
Y1 - 2014/6
N2 - In this paper we study the existence and concentration behaviors of positive solutions to the Kirchhoff type equations (Formula presented.) where M and V are continuous functions. Under suitable conditions on M and general conditions on f, we construct a family of positive solutions (uε)ε∈(0, ε̃)] which concentrates at a local minimum of V after extracting a subsequence (εk).
AB - In this paper we study the existence and concentration behaviors of positive solutions to the Kirchhoff type equations (Formula presented.) where M and V are continuous functions. Under suitable conditions on M and general conditions on f, we construct a family of positive solutions (uε)ε∈(0, ε̃)] which concentrates at a local minimum of V after extracting a subsequence (εk).
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U2 - 10.1007/s00205-014-0747-8
DO - 10.1007/s00205-014-0747-8
M3 - Article
AN - SCOPUS:84902801317
SN - 0003-9527
VL - 213
SP - 931
EP - 979
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
IS - 3
ER -