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Multiplicity and concentration of solutions for nonhomogeneous elliptic equations in multi-bump domains

✍ Scribed by Tsung-fang Wu

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
328 KB
Volume
65
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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In this paper, we study the decomposition of the filtration of the Nehari manifold via the variation of domain shape. Furthermore, we use this result to prove that the semilinear elliptic equation in the multi-bump domain (r) has multiple positive solutions and we can find at least one ground state

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In this paper, we deal with the sublinear elliptic equation: -βˆ†u+V (x)u+a(x)|u| p sgn(u) = f on R N , N > 2, 0 < p < 1. Under suitable assumptions on the terms V and a, we prove some existence, uniqueness and multiplicity results. Continuity of solutions in the perturbation parameter f at 0 is also