On the prescribed boundary mean curvature problem via local Pohozaev identities

DOI10.1007/s10114-023-2244-1zbMath1526.35124MaRDI QIDQ6063336

No author found.

Publication date: 7 November 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

existence of infinitely many solutionsprescribed boundary mean curvature

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

• A compactness theorem for scalar-flat metrics on manifolds with boundary
• An existence theorem of conformal scalar-flat metrics on manifolds with boundary
• Infinitely many positive solutions for an elliptic problem with critical or supercritical growth
• Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
• The prescribed boundary mean curvature problem on \(\mathbb B^4\)
• Problèmes de Neumann non linéaires sur les variétés riemanniennes
• On the prescribed scalar curvature problem in \(\mathbb{R}^N\), local uniqueness and periodicity
• Solutions for the prescribing mean curvature equation
• Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
• Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
• The Yamabe problem on manifolds with boundary
• A perturbation result for prescribing mean curvature
• Compactness results in conformal deformations of Riemannian metrics on manifolds with boundaries
• Two-bubble solutions in the super-critical Bahri-Coron's problem
• On the Yamabe problem and the scalar curvature problems under boundary conditions
• Construction of solutions via local Pohozaev identities
• Multi-bump solutions of \(-\Delta = K(x)u^{\frac{n+2}{n-2}}\) on lattices in \(\mathbb{R}^n\)
• Conformal metrics with prescribed mean curvature on the boundary
• Conformal metrics on the ball with zero scalar curvature and prescribed mean curvature on the boundary
• Uniqueness theorems through the method of moving spheres
• The Yamabe problem on manifolds with boundary: Existence and compactness results
• An existence theorem for the Yamabe problem on manifolds with boundary
• Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
• Constructing solutions for the prescribed scalar curvature problem via local Pohozaev identities
• A Morse theoretical approach for the boundary mean curvature problem on \(\mathbb B^4\)
• Conformal deformation on manifolds with boundary
• Infinitely Many Solutions for the Prescribed Boundary Mean Curvature Problem in 𝔹^N
• On Lin-Ni's conjecture in convex domains
• A Neumann problem with critical exponent in nonconvex domains and Lin-Ni’s conjecture
• On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems
• Local uniqueness and periodicity induced by concentration

This page was built for publication: On the prescribed boundary mean curvature problem via local Pohozaev identities