scientific article; zbMATH DE number 1218248
From MaRDI portal
zbMath0918.46033MaRDI QIDQ4216744
No author found.
Publication date: 3 November 1998
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sobolev spacesboundary value problemsisoperimetric inequalitiesasymptotics of solutionsextension theoremscompactness theoremsimbedding theoremtrace theoremsnonsmooth boundarysingularly perturbed boundariesdomains with cusps
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02)
Related Items
Answer to M. Ben-Artzi and T. Umeda, Spectral theory of first-order systems: From crystals to Dirac operators, Rev. Math. Phys. 33(5) (2021) 2150014, Construction of self‐adjoint differential operators with prescribed spectral properties, Optimal Transport Approach to Sobolev Regularity of Solutions to the Weighted Least Gradient Problem, Equilibrium problems for elastic plate with thin rigid inclusion and free edge, On the crack inverse problem for pressure waves in half-space, Bulk-boundary eigenvalues for bilaplacian problems, Error bounds for a least squares meshless finite difference method on closed manifolds, Asymptotics of Robin eigenvalues for non-isotropic peaks, NECESSARY AND SUFFICIENT CONDITIONS OF COMPACTNESS OF CERTAIN EMBEDDINGS OF SOBOLEV SPACES, REMARKS ON SOBOLEV-MORREY-CAMPANATO SPACES DEFINED ON C_{0;\gamma} DOMAINS, Sobolev -spaces on -thick closed subsets of, Shape Sensitivity Analysis of Equilibrium Problem for Bodies with Thin Rigid Inclusions, Imbedding theorems for Sobolev spaces on domains with peak and on Hölder domains, Ambrosetti-Prodi-type problems for quasi-linear elliptic equations with nonlocal boundary conditions, Local approximations and intrinsic characterization of spaces of smooth functions on regular subsets of ℝn, Diffraction from Polygonal-conical Screens, an Operator Approach, Quasiconformal mappings and periodic spectral problems in dimension two, John domains for the control distance of diagonal vector fields, Sobolev embeddings into Orlicz spaces and isocapacitary inequalities, Seventy five (thousand) unsolved problems in analysis and partial differential equations, Quasilinear parabolic equations with nonlinear Wentzell-Robin type boundary conditions, On a \((q,p)\)-Poincaré inequality, The stiff Neumann problem: Asymptotic specialty and “kissing” domains, One problem of the Navier type for the Stokes system in planar domains, On the detection of several obstacles in 2D Stokes flow: topological sensitivity and combination with shape derivatives, Patterns in parabolic problems with nonlinear boundary conditions, Pointwise estimates to the modified Riesz potential, Boundary behavior of monotone Sobolev functions in Orlicz spaces on John domains in a metric space, On extensions of Sobolev functions defined on regular subsets of metric measure spaces, On integral conditions for the general Beltrami equations, Integral equation method for the first and second problems of the Stokes system, Arzelà-Ascoli's theorem in uniform spaces, A density result for Sobolev spaces in dimension two, and applications to stability of nonlinear Neumann problems, Convergence of spectra of uniformly fattened open book structures, Robin eigenvalues on domains with peaks, On the third boundary value problem in domains with cusps, On recent advances in the Beltrami equations, Existence of bounded solutions for a class of quasilinear elliptic systems on manifolds with boundary, Sobolev Spaces on Non Smooth Domains and Dirichlet Forms Related to Subordinate Reflecting Diffusions, Regularity results for \(p\)-Laplacians in pre-fractal domains, Reinforcement problems for variational inequalities on fractal sets, On planar Sobolev \(L_p^m\)-extension domains, Singular perturbation Dirichlet problem in a double-periodic perforated plane, On the rate of convergence for perforated plates with a small interior Dirichlet zone, Compactness for Sobolev-type trace operators, Sobolev extensions via reflections, Strong coupling asymptotics for \(\delta \)-interactions supported by curves with cusps, Sobolev extension on \(L^p\)-quasidisks, The Neumann problem in an irregular domain, Sobolev spaces on multiple cones, Different degrees of non-compactness for optimal Sobolev embeddings, Steklov representations of Green's functions for Laplacian boundary value problems, Principal eigenvalues for generalised indefinite Robin problems, The \(p\)-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets, Characterization of traces of smooth functions on Ahlfors regular sets, On the sum of a Sobolev space and a weighted \(L_p\)-space, The divergence equation in rough spaces, Solvability of linear local and nonlocal Robin problems over \(C (\overline {\varOmega})\), On the boundary values of Sobolev \(W^1_p\)-functions, Sobolev \(L_p^2\)-functions on closed subsets of \(\mathbb R^2\), Transmission problem for the Laplace equation and the integral equation method, Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations, Convergence and density results for parabolic quasi-linear Venttsel' problems in fractal domains, Unnamed Item, Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body, Quasi-linear Venttsel' problems with nonlocal boundary conditions on fractal domains, Neumann problems and isocapacitary inequalities, Topological sensitivity analysis and Kohn-Vogelius formulation for detecting a rigid inclusion in an elastic body, Algebraic nature of singular Riemannian foliations in spheres, Long-term behavior of reaction-diffusion equations with nonlocal boundary conditions on rough domains, Sobolev spaces on non-Lipschitz subsets of \(\mathbb {R}^n\) with application to boundary integral equations on fractal screens, Representations of solutions of Laplacian boundary value problems on exterior regions, Partial regularity and smooth topology-preserving approximations of rough domains, Sobolev embeddings, extensions and measure density condition, \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force, The blow-up of critical anisotropic equations with critical directions, An embedding into an Orlicz space for irregular John domains, Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions, The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets, Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings, Embeddings into Orlicz spaces for functions from unbounded irregular domains, Quasi-linear boundary value problems with generalized nonlocal boundary conditions, Unnamed Item, Degree-independent Sobolev extension on locally uniform domains, Conductor inequalities and criteria for Sobolev type two-weight imbeddings, On Sobolev extension domains in \(\mathbb R^n\), On the necessity of Nitsche term, Well-posed elliptic Neumann problems involving irregular data and domains, The spectral position of Neumann domains on the torus, Sharp remainder estimates in the Weyl formula for the Neumann Laplacian on a class of planar regions, Nonlinear elliptic boundary value problems at resonance with nonlinear Wentzell boundary conditions, The Neumann problem for the Laplace equation on general domains, The Steklov eigenvalue problem in a cuspidal domain, A Transmission Problem Across a Fractal Self-Similar Interface, Boundary limits of monotone Sobolev functions on metric spaces, Embeddings for the space on sets of finite perimeter, Plummeting and blinking eigenvalues of the Robin Laplacian in a cuspidal domain, Theoretical justification and error analysis for slender body theory with free ends, Sobolev \(W_p^1\)-spaces on closed subsets of \(\mathbf R^n\), Conductor Inequalities and Criteria for Sobolev-Lorentz Two-Weight Inequalities, Finite element approximations in a non-Lipschitz domain: Part II, Weak solutions of the Robin problem for the Oseen system, The heat equation with nonlinear generalized Robin boundary conditions, Traces of functions of $L^1_2$ Dirichlet spaces on the Carathéodory boundary, Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence, Sobolev inequalities on sets with irregular boundaries, Optimal control of mixed local-nonlocal parabolic PDE with singular boundary-exterior data, Harmonic homeomorphisms of the closed disc to itself need be in $W^\{1,p\}$, $p<2$, but not $W^\{1,2\}$, The volume of the boundary of a Sobolev \((p,q)\)-extension domain, Removable singularities for a Sobolev space, Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains, Layered fractal fibers and potentials, Global gradient estimates in elliptic problems under minimal data and domain regularity, Point-wise behavior of the Geman-McClure and the Hebert-Leahy image restoration models, Non-coercive problems for Kirchhoff-Love plates with thin rigid inclusion, Sobolev inequalities in arbitrary domains
