期刊论文

Liu, Zhongyuan（彭双阶）

英文

Journal of Differential Equations

0022-0396

2016

260

1

370-400

10.1016/j.jde.2015.08.044

The authors are grateful to the referee's thoughtful reading of details of the paper and nice suggestions. Z. Liu was supported by NSFC grant (No. 11501166 ). S. Peng was partially supported by NSFC grants (No. 11125101 ; No. 11571130 ) and Program for Changjiang Scholars and Innovative Research Team in University (No. IRT13006 ).

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In this paper we study the following Henon-like equation { -Delta u = broken vertical bar broken vertical bar y broken vertical bar - 2 broken vertical bar(alpha) u(p), u > 0 in Omega u = 0, on partial derivative Omega, where alpha > 0, p =N + 2/N- 2, Omega = {y is an element of R-N We show that for a > 0 the above problem has infinitely many positive solutions concentrating simultaneously near the interior boundary {x ERN Ix I = 1) and the outward boundary {x is an element of R-N : broken vertical bar X broken vertical bar = 3), whose energy can ...