Solutions for the prescribing mean curvature equation
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Publication:946246
DOI10.1007/s10255-008-8051-8zbMath1161.35014OpenAlexW1996526195MaRDI QIDQ946246
Publication date: 22 September 2008
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-008-8051-8
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational methods for second-order elliptic equations (35J20) Perturbations of PDEs on manifolds; asymptotics (58J37)
Related Items (5)
New existence results for prescribed mean curvature problem on balls under pinching conditions ⋮ On the prescribed scalar curvature problem with very degenerate prescribed functions ⋮ On the prescribed boundary mean curvature problem via local Pohozaev identities ⋮ Concentration of solutions for the fractional Nirenberg problem ⋮ The concentrated solutions on the nonhomogeneous scalar curvature problem
Cites Work
- Unnamed Item
- Unnamed Item
- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- Existence and nonexistence of interior-peaked solution for a nonlinear Neumann problem.
- The Yamabe problem on manifolds with boundary
- A perturbation result for prescribing mean curvature
- On the Yamabe problem and the scalar curvature problems under boundary conditions
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- Conformal metrics with prescribed mean curvature on the boundary
- On the scalar curvature equation \(-\Delta u = (1+\varepsilon K)u ^{(N+2)/(N-2)}\) in \({\mathbb R}^N\)
- Uniqueness theorems through the method of moving spheres
- Positive harmonic functions on the upper half space satisfying a nonlinear boundary condition
- On the existence of multipeaked solutions to a semilinear Neumann problem
- The Yamabe problem on manifolds with boundary: Existence and compactness results
- Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate
- Positive solution for neumann problem with critical non linearity on boundary
- The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature
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