Bubbling solutions for supercritical problems on manifolds
From MaRDI portal
Publication:2344556
DOI10.1016/j.matpur.2014.11.004zbMath1347.58004arXiv1403.2513OpenAlexW2027256417MaRDI QIDQ2344556
Angela Pistoia, Giusi Vaira, Juan Dávila
Publication date: 15 May 2015
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.2513
Riemannian manifoldelliptic equationconcentration along geodesicsingular periodic ODEsupercritical/subcritical problem
Periodic solutions to PDEs (35B10) Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations (35J61) PDEs on manifolds (35R01)
Related Items
Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations ⋮ Blow-up solutions concentrated along minimal submanifolds for some supercritical elliptic problems on Riemannian manifolds ⋮ Finite time blow-up for the fractional critical heat equation in \(\mathbb{R}^n\) ⋮ Concentration on submanifolds for an Ambrosetti-Prodi type problem ⋮ Infinite time blow-up for critical heat equation with drift terms ⋮ Perturbative techniques for the construction of spike-layers ⋮ Concentration on minimal submanifolds for a Yamabe-type problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents
- Bubbling along boundary geodesics near the second critical exponent
- Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains
- Concentration on minimal submanifolds for a singularly perturbed Neumann problem
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- Problèmes isoperimetriques et espaces de Sobolev
- On the proof of the positive mass conjecture in general relativity
- From one bubble to several bubbles: the low-dimensional case.
- Multidimensional boundary layers for a singularly perturbed Neumann problem
- Large mass boundary condensation patterns in the stationary Keller-Segel system
- Blow-up solutions for asymptotically critical elliptic equations on Riemannian manifolds
- Concentration on curves for nonlinear Schrödinger Equations
- Generic properties of nonlinear boundary value problems
- T-periodic solutions for some second order differential equations with singularities
- Generic Properties of Eigenfunctions
- Boundary concentration phenomena for a singularly perturbed elliptic problem
