Some properties of higher order Sobolev spaces

From MaRDI portal
Publication:1839411

zbMath0512.46034MaRDI QIDQ1839411

Felix E. Browder, Haim Brezis

Publication date: 1982

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)




Related Items

A compactness result for elliptic equations with subquadratic growth in perforated domainsRegularizing effect for some parabolic problems with perturbed terms and irregular dataPositive weak solutions for some semilinear elliptic equationsOn nonlinear elliptic equations with Hardy potential and \(L^1\)-dataQuasilinear elliptic equations with subquadratic growthOn variational aspects of some nonconvex nonsmooth global optimization problemRegularizing effects of some lower order terms in non-uniformly nonlinear elliptic equationsA symmetrization result for a class of anisotropic elliptic problemsElliptic and parabolic semilinear problems without conditions at infinityEuler equations involving nonlinearities without growth conditionsUnnamed ItemEstimates for fully anisotropic elliptic equations with a zero order termSome homogenization results for strongly nonlinear equationsBounded positive solutions for diffusive logistic equations with unbounded distributed limitationsStrongly nonlinear problems with gradient dependent lower order nonlinearityStrongly nonlinear elliptic equations having natural growth terms and L1 dataProbabilistic weak solutions for nonlinear stochastic evolution problems involving pseudomonotone operatorsOn the structure of unbounded positive solutions to the quasilinear logistic equationTheorem of Brezis and Browder type in anisotropic Sobolev spacesOn a nonlinear partial differential equation having natural growth terms and unbounded solutionVariational inequalities in Orlicz-Sobolev spacesSome results on functional capacity and their applications to P-Laplacian problems involving measure dataElliptic equations of higher-order in weighted Sobolev spacesQuasilinear elliptic problem with singular lower order term and \(L^1\) dataOn quadrature domains and an inverse problem in potential theoryExistence results for strongly nonlinear elliptic equations of infinite orderSome elliptic equations with \(W_0^{1,1}\) solutionsPositive solutions of logistic equations with dependence on gradient and nonhomogeneous Kirchhoff termMultiple solutions of semilinear elliptic equations with one-sided growth conditionsExistence and uniqueness of positive solutions for some quasilinear elliptic problemsExistence and comparison results for non-uniformly parabolic problemsAn approximation result in generalized anisotropic Sobolev spaces and applicationsUniqueness and stability of strongly nonlinear elliptic boundary value problemsApproximations de type Hedberg dans les espaces $W^m L \log L\left( \Omega \right)$ et applicationsGeneralized quasilinearization and quasilinear elliptic problems.Hardy InequalitiesExistence and multiplicity results for generalized logistic equationsHalf-space Gaussian symmetrization: applications to semilinear elliptic problemsUnnamed ItemUnnamed ItemA generalization of a theorem of H.Brezis \& F.E.Browder and applications to some unilateral problemsSpectral synthesis in Sobolev spaces and uniqueness of solutions of the Dirichlet problemAnisotropic equations in weighted Sobolev spaces of higher orderAttractors for a class of extensible beams with strong nonlinear dampingConvergence of unilateral problems for monotone operatorsAsymptotics of solutions for fully nonlinear elliptic problems at nearly critical growth