On the behavior at infinity of solutions of elliptic systems with a finite energy integral

DOI10.1007/BF00251392OpenAlexW4211129535MaRDI QIDQ5882625

No author found.

Publication date: 17 March 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0202-6

zbMATH Keywords

Dirichlet problemunbounded domainparabolic equationelliptic operatorelliptic equation

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Parabolic equations and parabolic systems (35Kxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• DISCRETENESS OF SPECTRUM FOR THE MAGNETIC SCHRÖDINGER OPERATORS
• On Some Properties of the Solutions of Quasilinear Degenerate Elliptic Equations
• Precise Hölder exponents for a generalized solution of the Dirichlet problem for the biharmonic equation that are defined by the geometry of the domain
• On Moments of Negative Eigenvalues of an Elliptic Operator
• ON PROPERTIES OF SOLUTIONS OF A CLASS OF NONLINEAR SECOND-ORDER EQUATIONS
• On the necessary conditions of global existence to a quasilinear inequality in the half-space
• A CRITICAL PHENOMENON FOR SUBLINEAR ELLIPTIC EQUATIONS IN CONE-LIKE DOMAINS
• Semilinear equations of second order with nonnegative characteristic form
• On the behavior of solutions of elliptic equations in a neighborhood of a crack with nonsmooth front
• On the behavior at infinity of solutions of elliptic systems with a finite energy integral
• On positive solutions of a semilinear equation
• The linearization of an autonomous system in the neighborhood of a 'node'-type singular point
• On the properties of generalized solutions of elliptic equations
• Invertibility of Schrödinger operators in weighted spaces
• Positive solutions of quasilinear Emden-Fowler systems of arbitrary order
• On the eigenvalues of a Dirichlet problem
• On blowing-up solutions to second-order parabolic equations
• On completeness of root functions of elliptic boundary problems in a domain with conical points
• Completeness of the systems of root functions of elliptic operators in Banach spaces.
• On the summability in \(L^ p\) of positive solutions of elliptic equations.
• Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains.
• On the asymptotics of solutions of the Lavrent'ev-Bitsadze equation in a partially perforated domain
• Biharmonic functions, nonnegative in a half-strip
• On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range
• Second-order semilinear elliptic inequalities in exterior domains.
• Homogenization of the Lavrent'ev--Bitsadze equation in a partially perforated domain
• On the asymptotics near the piecewise smooth boundary of singular solutions of semilinear elliptic equations
• On spectral theory of elliptic operators
• On a family of extremum problems and the properties of an integral
• On properties of solutions to nonlinear parabolic equations of the second order
• Discreteness of spectrum conditions for Schrödinger operators on manifolds
• Global solutions of higher-order semilinear parabolic equations in the supercritical range
• On the asymptotic behavior of solutions of a semilinear elliptic boundary problem in an unbounded cone
• On completeness of root functions of an elliptic operator on a manifold with conical points
• Estimates for solutions of the Dirichlet problem for the biharmonic equation in a neighbourhood of an irregular boundary point and in a neighbourhood of infinity. Saint-Venant's principle
• On the dependence of the constant in Korn's inequality on parameters characterizing the geometry of the region
• On the uniqueness of the solutions of boundary-value problems in unbounded domains, and on isolated singular points of solutions of the system of elasticity theory and second-order elliptic equations
• On the regularity of solutions of elliptic equations of high order with continuous coefficients
• Some unsolved problems in the theory of differential equations and mathematical physics
• Uniqueness theorems for solutions of exterior boundary-value problems and an analogue of St. Venant's principle
• On estimates of the second derivatives of the solution of the Dirichlet problem for the biharmonic equation in the neighbourhood of angular points of the boundary
• Schauder-type estimates of solutions of second order elliptic systems in divergence form, in non-regular dohtains^∗
• Estimates of the negative spectrum of an elliptic operator
• Asymptotic behaviour of the solutions of non-linear elliptic and parabolic systems in tube domains
• On a problem of O.A. Oleinik
• Estimates for the first eigenvalue in some Sturm-Liouville problems
• ESTIMATES OF HEAT KERNELS FOR A CLASS OF SECOND-ORDER ELLIPTIC OPERATORS WITH APPLICATIONS TO SEMI-LINEAR INEQUALITIES IN EXTERIOR DOMAINS
• On asymptotic behavior in an infinite cylinder of solutions to an elliptic equation of second order
• On the asymptotic behavior of solutions to a semilinear elliptic boundary problem in an unbounded domain

This page was built for publication: On the behavior at infinity of solutions of elliptic systems with a finite energy integral