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Positive radial solutions for a class of elliptic systems concentrating on spheres with potential decay

Paulo Cesar Carriao|Olimpio Hiroshi Miyagaki|Narciso Horta Lisboa
대한수학회 (The Korean Mathematical Society)|2013.05|대한수학회보 (Bulletin of the KMS)|제50권 제3호|pp. 839-865

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참고문헌

키워드

variational methodSchrodinger operatorradial solutionsingular perturbation
주제분류수학

초록

We deal with the existence of positive radial solutions concentrating on spheres for the following class of elliptic system (S) [수식], where ε is a small positive parameter; V1, V2 ∈ C0(RN, [0,1)) and K 2 C0(RN, (0,∞)) are radially symmetric potentials; Q is a (p + 1)- homogeneous function and p is subcritical, that is, 1 < p < 2∗ −1, where 2∗ = 2N/(N − 2) is the critical Sobolev exponent for N ≥ 3.

Abstract

We deal with the existence of positive radial solutions concentrating on spheres for the following class of elliptic system (S) [수식], where ε is a small positive parameter; V1, V2 ∈ C0(RN, [0,1)) and K 2 C0(RN, (0,∞)) are radially symmetric potentials; Q is a (p + 1)- homogeneous function and p is subcritical, that is, 1 < p < 2∗ −1, where 2∗ = 2N/(N − 2) is the critical Sobolev exponent for N ≥ 3.

참고문헌 (37)

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