Asymptotic Uniqueness for a Biharmonic Equation with Nearly Critical Growth on Symmetric Convex Domains

スポンサーリンク

概要

• 論文の詳細を見る

• We consider a biharmonic equation with the nearly critical Sobolev exponent under the Navier boundary condition on a smooth bounded, strictly convex domain of dimension N ≥ 5, which is symmetric with respect to the coordinate hyperplanes.We prove that the number of positive solutions of the above problem is exactly one when the nonlinear exponent is subcritical and sufficiently near to the critical exponent. Furthermore, this unique solution is nondegenerate in the sense that the associated linearized problem admits only the trivial solution.

• 日本数学会函数方程式論分科会の論文

日本数学会函数方程式論分科会 | 論文

• The Landau-Lifshitz Flow of Maps into the Lobachevsky Plane
• Uniqueness of Solutions for Zakharov Systems
• Characterization of Wave Front Sets in Fourier-Lebesgue Spaces and Its Application
• Affine Weyl Group Symmetry of the Garnier System
• Exact Eigenvalues and Eigenfunctions Associated with Linearization for Chafee-Infante Problem

もっと見る

スポンサーリンク