The Lin-Ni’s problem for mean convex domains
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Publication:5403716
DOI10.1090/S0065-9266-2011-00646-5zbMath1288.35214arXiv1103.3811MaRDI QIDQ5403716
Frédéric Robert, Olivier Druet, Wei, Juncheng
Publication date: 18 March 2014
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.3811
Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09)
Related Items (12)
Non-existence of extremals for the Adimurthi-Druet inequality ⋮ Pointwise bounds for the Green's function for the Neumann-Laplace operator in \(\mathbf{R}^3\) ⋮ Stabilization in the logarithmic Keller-Segel system ⋮ The Lin-Ni conjecture in negative geometries ⋮ Existence of Solutions to a Slightly Supercritical Pure Neumann Problem ⋮ A Paneitz-Branson type equation with Neumann boundary conditions ⋮ Hardy-Sobolev equations with asymptotically vanishing singularity: blow-up analysis for the minimal energy ⋮ Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five ⋮ Interior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3 ⋮ Sign changing bubbling solutions for a critical Neumann problem in 3D ⋮ Very weak solutions of Poisson's equation with singular data under Neumann boundary conditions ⋮ Blow-up analysis involving isothermal coordinates on the boundary of compact Riemann surface
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