Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains.
From MaRDI portal
Publication:1848462
DOI10.3934/cpaa.2002.1.359zbMath1183.46031OpenAlexW2128418782MaRDI QIDQ1848462
Julio D. Rossi, Julián Fernández Bonder
Publication date: 2002
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2002.1.359
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
Related Items (23)
Multiple solutions of a quasilinear elliptic problem involving nonlinear boundary condition on exterior domain ⋮ Asymptotic behavior of least energy solutions for a singularly perturbed problem with nonlinear boundary condition ⋮ THE BEST SOBOLEV TRACE CONSTANT IN PERIODIC MEDIA FOR CRITICAL AND SUBCRITICAL EXPONENTS ⋮ Existence of three solutions for equations of \(p(x)\)-Laplace type operators with nonlinear Neumann boundary conditions ⋮ On the best Sobolev trace constant and extremals in domains with holes ⋮ The best constant and extremals of the Sobolev embeddings in domains with holes: the \(L^{\infty }\) case ⋮ The best Sobolev trace constant in a domain with oscillating boundary ⋮ The Neumann problem for a class of semilinear fractional equations with critical exponent ⋮ Optimal boundary holes for the Sobolev trace constant ⋮ A variational approach to a quasilinear elliptic problem involving the \(p\)-Laplacian and nonlinear boundary condition ⋮ The behavior of the best Sobolev trace constant and extremals in thin domains. ⋮ Existence of infinitely many weak solutions for the \(p\)-Laplacian with nonlinear boundary conditions ⋮ Unnamed Item ⋮ On the \(p\)-Laplacian with Robin boundary conditions and boundary trace theorems ⋮ Symmetry properties for the extremals of the Sobolev trace embedding ⋮ Optimization of the first Steklov eigenvalue in domains with holes: a shape derivate approach ⋮ Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction ⋮ Asymptotics of best Sobolev constants on thin manifolds ⋮ Multiplicity of Solutions For a Convex-concave Problem With a Nonlinear Boundary Condition ⋮ Mathematical analysis, finite element approximation and numerical solvers for the interaction of 3D reservoirs with 1D wells ⋮ Recovering point sources for the inhomogeneous Helmholtz equation * ⋮ Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains ⋮ On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue
This page was built for publication: Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains.
