PRESCRIBING MEAN CURVATURE ON 𝔹n

DOI10.1142/S0129167X10006434zbMath1201.58009OpenAlexW2099646095MaRDI QIDQ3162639

Wael Abdelhedi, Hichem Chtioui

Publication date: 20 October 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x10006434

zbMATH Keywords

Morse theorycritical points at infinityMorse lemma at infinityboundary mean curvature

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (12)

Conformal metrics on the unit ball with prescribed mean curvature ⋮ Blowing up solutions for Neumann problem with critical nonlinearity on the boundary ⋮ On a fractional Nirenberg problem on \(n\)-dimensional spheres: existence and multiplicity results ⋮ New existence results for prescribed mean curvature problem on balls under pinching conditions ⋮ Conformal flat metrics with prescribed mean curvature on the boundary ⋮ Conformal transformation of metrics on the \(n\)-ball ⋮ On a Nirenberg-type problem involving the half Laplacian: density and multiplicity of solutions ⋮ Sign-changing bubble for Neumann problem with critical nonlinearity on the boundary ⋮ On a geometric equation involving the Sobolev trace critical exponent ⋮ On a min-max procedure for the prescribed boundary mean curvature problem in \(\mathbb{B}_3\) ⋮ On the boundary mean curvature equation on \(\mathbb{B}^{n}\) ⋮ A necessary condition for prescribing mean curvature equations in 𝔹ⁿ

Cites Work

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