Boundary singularities of solutions to elliptic viscous Hamilton-Jacobi equations

DOI10.1016/j.jfa.2012.05.019zbMath1260.35059arXiv1109.2808OpenAlexW2963125328MaRDI QIDQ452360

Laurent Véron, Phuoc-Tai Nguyen

Publication date: 21 September 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2808

zbMATH Keywords

quasilinear elliptic equationsBorel measuresisolated singularitiesBessel capacities

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations (35J62)

Related Items

Boundary singular solutions of a class of equations with mixed absorption-reaction, Fractional elliptic problems with nonlinear gradient sources and measures, Elliptic equations with Hardy potential and gradient-dependent nonlinearity, Singular solutions of a \(p\)-Laplace equation involving the gradient, Singular solutions for divergence-form elliptic equations involving regular variation theory: existence and classification, Existence and regularity of nonlinear advection problems, Singular solutions of elliptic equations involving nonlinear gradient terms on perturbations of the ball, A nonlinear elliptic problem involving the gradient on a half space, Local behaviour of the solutions of the Chipot-Weissler equation, Trace and boundary singularities of positive solutions of a class of quasilinear equations, Boundary blow-up solutions to nonlocal elliptic equations with gradient nonlinearity, \(q\)-Laplace equation involving the gradient on general bounded and exterior domains, Local and global properties of solutions of quasilinear Hamilton-Jacobi equations, Singular solutions of a Lane-Emden system, Removability of isolated singularities for anisotropic elliptic equations with gradient absorption, Semilinear elliptic equations with Hardy potential and gradient nonlinearity, Semilinear fractional elliptic equations with gradient nonlinearity involving measures, Measure boundary value problems for semilinear elliptic equations with critical Hardy potentials, Boundary singularities of positive solutions of quasilinear Hamilton-Jacobi equations, An elliptic semilinear equation with source term and boundary measure data: the supercritical case, Some elliptic problems involving the gradient on general bounded and exterior domains, Elliptic equations with nonlinear absorption depending on the solution and its gradient

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A probabilistic approach to the trace at the boundary for solutions of a semilinear parabolic partial differential equation
• A probabilistic approach to one class of nonlinear differential equations
• Positive solutions of elliptic equations in nondivergence form and their adjoints
• On the inequality \(\Delta u \geqq f (u)\)
• The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case
• Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations
• Boundary singularities of solutions of some nonlinear elliptic equations
• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
• The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case
• Removable singularities and boundary traces.
• Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre. (Some remarks on second order quasilinear elliptic problems)
• The Brownian snake and solutions of \(\Delta u = u^ 2\) in a domain
• Solutions of \(Lu = u^ \alpha\) dominated by \(L\)-harmonic functions
• Boundary Harnack inequality and a priori estimates of singular solutions of quasilinear elliptic equations
• Reduced measures on the boundary
• On solutions of δu=f(u)
• Boundary regularity for solutions of degenerate elliptic equations
• Invariant criteria for existence of solutions to second-order quasilinear elliptic equations
• The boundary trace and generalized boundary value problem for semilinear elliptic equations with coercive absorption
• Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation
• Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary
• Elliptic Equations Involving Meausres
• A new inequality for superdiffusions and its applications to nonlinear differential equations
• Superdiffusions and removable singularities for quasilinear partial differential equations
• On harnack type inequalities and their application to quasilinear elliptic equations
• An elliptic semilinear equation with source term involving boundary measures: the subcritical case