Large solutions and gradient bounds for quasilinear elliptic equations

DOI10.1080/03605302.2016.1169286zbMath1348.35083OpenAlexW2318133443MaRDI QIDQ3188105

Alessio Porretta, Tommaso Leonori

Publication date: 16 August 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11573/955406

zbMATH Keywords

\(p\)-Laplacianlarge solutionsgradient estimatesergodic problemBernstein methodsolvability of the Dirichlet problem

Mathematics Subject Classification ID

Optimal stochastic control (93E20) Degenerate elliptic equations (35J70) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (16)

Comparison principles for \(p\)-Laplace equations with lower order terms ⋮ Quasilinear elliptic problems with singular and homogeneous lower order terms ⋮ An ODE approach for fractional Dirichlet problems with gradient nonlinearity ⋮ Existence issues for a large class of degenerate elliptic equations with nonlinear Hamiltonians ⋮ Liouville results and asymptotics of solutions of a quasilinear elliptic equation with supercritical source gradient term ⋮ Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms ⋮ Ergodic pairs for singular or degenerate fully nonlinear operators ⋮ Asymptotic behavior of solutions for nonlinear parabolic operators with natural growth term and measure data ⋮ A priori estimates for non-coercive Dirichlet problems with subquadratic gradient terms ⋮ Sobolev regularity for nonlinear Poisson equations with Neumann boundary conditions on Riemannian manifolds ⋮ On the regularity of the total variation minimizers ⋮ Large solutions to quasilinear problems involving the \(p\)-Laplacian as \(p\) diverges ⋮ Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators ⋮ On uniqueness of solutions to viscous HJB equations with a subquadratic nonlinearity in the gradient ⋮ \({\mathcal{C}}^{1, \gamma }\) regularity for singular or degenerate fully nonlinear equations and applications ⋮ Local Hölder and maximal regularity of solutions of elliptic equations with superquadratic gradient terms

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