Multipeak solutions for asymptotically critical elliptic equations on Riemannian manifolds

DOI10.1016/j.na.2010.09.036zbMath1205.58012OpenAlexW2035375404WikidataQ115343041 ScholiaQ115343041MaRDI QIDQ611194

Shengbing Deng

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.09.036

zbMATH Keywords

Riemannian manifoldmulti-peak solutionsLyapunov-Schmidt reduction procedureasymptotically critical exponent

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Elliptic equations on manifolds, general theory (58J05) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Blow-up solutions for Hardy-Sobolev equations on compact Riemannian manifolds ⋮ On spike solutions for a singularly perturbed problem in a compact Riemannian manifold ⋮ Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities ⋮ Clustered solutions for supercritical elliptic equations on Riemannian manifolds ⋮ Existence of solutions to modified nonlinear Schrödinger equations on non-compact Riemannian manifolds

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