Concentration on minimal submanifolds for a Yamabe-type problem
From MaRDI portal
Publication:2833301
DOI10.1080/03605302.2016.1209519zbMath1355.58006arXiv1409.7321OpenAlexW2963054125MaRDI QIDQ2833301
Angela Pistoia, Shengbing Deng, Monica Musso
Publication date: 17 November 2016
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.7321
concentration along minimal submanifoldsPDE's with attractive or repulsive type singularitysupercritical Yamabe type problem
Periodic solutions to PDEs (35B10) Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Local submanifolds (53B25) Green's functions for elliptic equations (35J08)
Related Items
Multipeak solutions for the Yamabe equation ⋮ Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations ⋮ On spikes concentrating on lines for a Neumann superlinear Ambrosetti-Prodi type problem ⋮ Supercritical elliptic problems on the round sphere and nodal solutions to the Yamabe problem in projective spaces ⋮ From periodic ODE's to supercritical PDE's
Cites Work
- Blow-up solutions concentrated along minimal submanifolds for some supercritical elliptic problems on Riemannian manifolds
- 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
- A note on the Sobolev inequality
- From one bubble to several bubbles: the low-dimensional case.
- Multidimensional boundary layers for a singularly perturbed Neumann problem
- Blowing-up solutions for the Yamabe equation
- Bubbling solutions for supercritical problems on manifolds
- Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials
- The effect of linear perturbations on the Yamabe problem
- Constant mean curvature hypersurfaces condensing on a submanifold
- Curve-Like Concentration Layers for a Singularly Perturbed Nonlinear Problem with Critical Exponents
- Blow-up solutions for asymptotically critical elliptic equations on Riemannian manifolds
- Concentration on curves for nonlinear Schrödinger Equations
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- T-periodic solutions for some second order differential equations with singularities
- Boundary concentration phenomena for a singularly perturbed elliptic problem