1999
DOI: 10.2140/pjm.1999.189.241
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Multipeak solutions for a singularly perturbed Neumann problem

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Cited by 142 publications
(131 citation statements)
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“…For example, as a direct corollary of Proposition C.3 and the results in [13,25], we have the following corollary. This paper is arranged as follows.…”
Section: Existence Of Multipeak Solutionsmentioning
confidence: 61%
See 1 more Smart Citation
“…For example, as a direct corollary of Proposition C.3 and the results in [13,25], we have the following corollary. This paper is arranged as follows.…”
Section: Existence Of Multipeak Solutionsmentioning
confidence: 61%
“…The estimates in Appendix C can be used to improve the multiplicity results in [13,25]. For example, as a direct corollary of Proposition C.3 and the results in [13,25], we have the following corollary.…”
Section: Existence Of Multipeak Solutionsmentioning
confidence: 89%
“…The role of the mean curvature function of the boundary ∂Ω in (1.19) is similar to that of the potential V (x) in (1.1). The estimates in Appendix C can be used to improve the multiplicity results in [13,25]. For example, as a direct corollary of Proposition C.3 and the results in [13,25], we have This paper is arranged as follows.…”
Section: ) Has At Least Cuplength(m ) Distinct Solutions Of the Form mentioning
confidence: 99%
“…Next, we have the following result. (15)) is a C 0 -stable critical point for the function F defined in (6). Then, problem (1) has a family of solutions u ε such that as ε → 0,…”
Section: Introductionmentioning
confidence: 99%
“…Such an idea has been used in many other papers. See for instance [2,[4][5][6][7][11][12][13]18] and references therein. Here we follow those of [21] and introduce an appropriate functional setting, since the distance between the bubbles is small (see Theorem 1.3), but the large extent of μ j bring us some difficulty in the estimates in Sect.…”
Section: Introductionmentioning
confidence: 99%