Bubbling along boundary geodesics near the second critical exponent
From MaRDI portal
Publication:604444
DOI10.4171/JEMS/241zbMath1204.35090OpenAlexW2038892648MaRDI QIDQ604444
Frank Pacard, Monica Musso, Manuel A. del Pino
Publication date: 11 November 2010
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/jems/241
Nonlinear elliptic equations (35J60) Boundary value problems on manifolds (58J32) Variational methods for second-order elliptic equations (35J20)
Related Items
Perturbations of Lane-Emden and Hamilton-Jacobi equations. II: Exterior domains ⋮ Large mass boundary condensation patterns in the stationary Keller-Segel system ⋮ Concentration with a single sign-changing layer at the higher critical exponents ⋮ Nonexistence and multiplicity of solutions to elliptic problems with supercritical exponents ⋮ Boundary clustered layers near the higher critical exponents ⋮ Non-compactness and infinite number of conformal initial data sets in high dimensions ⋮ Boundary towers of layers for some supercritical problems ⋮ Infinitely many positive solutions for an elliptic problem with critical or supercritical growth ⋮ Geometry driven type II higher dimensional blow-up for the critical heat equation ⋮ Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents ⋮ Supercritical problems in domains with thin toroidal holes ⋮ Finite time blow-up for the fractional critical heat equation in \(\mathbb{R}^n\) ⋮ On spikes concentrating on lines for a Neumann superlinear Ambrosetti-Prodi type problem ⋮ A pointwise finite-dimensional reduction method for Einstein-Lichnerowicz-type systems: the six-dimensional case ⋮ Infinite time blow-up for critical heat equation with drift terms ⋮ A pointwise finite-dimensional reduction method for a fully coupled system of Einstein–Lichnerowicz type ⋮ Infinitely many positive solutions for a nonlinear field equation with super-critical growth ⋮ Concentration on minimal submanifolds for a Yamabe-type problem ⋮ Bubbling solutions for supercritical problems on manifolds ⋮ A Supercritical Elliptic Problem in a Cylindrical Shell ⋮ Bubble Concentration on Spheres for Supercritical Elliptic Problems ⋮ Positive solutions to a supercritical elliptic problem that concentrate along a thin spherical hole ⋮ Curve-Like Concentration Layers for a Singularly Perturbed Nonlinear Problem with Critical Exponents ⋮ Bubbling on boundary submanifolds for a semilinear Neumann problem near high critical exponents
Cites Work