Solvability of nonlinear elliptic equations with gradient terms
From MaRDI portal
Publication:393034
DOI10.1016/j.jde.2013.03.003zbMath1282.35166arXiv1208.6562OpenAlexW2963271847MaRDI QIDQ393034
Boyan Sirakov, Patricio L. Felmer, Alexander Quaas
Publication date: 15 January 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.6562
Nonlinear elliptic equations (35J60) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (27)
Entire solutions of fully nonlinear elliptic equations with a superlinear gradient term ⋮ On the Liouville property for fully nonlinear equations with superlinear first-order terms ⋮ On the inequality \(F(x,D^2u)\geq f(u) +g(u)| Du|^q\) ⋮ On the existence of nonautonomous ODE with application to semilinear elliptic equations ⋮ Generalized Harnack inequality for semilinear elliptic equations ⋮ Generalized Keller-Osserman conditions for fully nonlinear degenerate elliptic equations ⋮ On the strong maximum principle ⋮ Singular solutions of some elliptic equations involving mixed absorption-reaction ⋮ A note on the nonexistence of positive supersolutions to elliptic equations with gradient terms ⋮ Classification of radial solutions for semilinear elliptic systems with nonlinear gradient terms ⋮ Positive supersolutions of non-autonomous quasilinear elliptic equations with mixed reaction ⋮ Existence and boundary behaviour of radial solutions for weighted elliptic systems with gradient terms ⋮ Existence of entire solutions to the Lagrangian mean curvature equations in supercritical phase ⋮ Explicit estimates on positive supersolutions of nonlinear elliptic equations and applications ⋮ Existence and symmetry for elliptic equations in \(\mathbb{R}^{n}\) with arbitrary growth in the gradient ⋮ Coercive elliptic systems with gradient terms ⋮ Existence of positive entire solutions of fully nonlinear elliptic equations ⋮ Maximum principles for \(k\)-Hessian equations with lower order terms on unbounded domains ⋮ Large solutions of fully nonlinear equations: existence and uniqueness ⋮ The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients ⋮ Measure data problems for a class of elliptic equations with mixed absorption-reaction ⋮ A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton–Jacobi equations ⋮ Positive solution for a quasilinear equation with critical growth in $\mathbb {R}^N$ ⋮ A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds ⋮ A sharp Liouville principle for \(\Delta_m u+u^p|\nabla u|^q\le 0\) on geodesically complete noncompact Riemannian manifolds ⋮ Generalized Harnack inequality for nonhomogeneous elliptic equations ⋮ Existence and non-existence of blow-up solutions for a non-autonomous problem with indefinite and gradient terms
Cites Work
- Entire large solutions for semilinear elliptic equations
- Entire solutions of completely coercive quasilinear elliptic equations
- Entire solutions of completely coercive quasilinear elliptic equations. II
- Keller-Osserman type conditions for some elliptic problems with gradient terms
- On the inequality \(\Delta u \geqq f (u)\)
- The maximum principle
- Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
- Nonexistence of positive weak solutions of elliptic inequalities
- On entire solutions of degenerate elliptic differential inequalities with nonlinear gradient terms
- Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
- Explosive solutions of elliptic equations with absorption and non-linear gradient term
- Positive radial solutions to a {\` semilinear\'} equation involving the Pucci's operator
- Large solutions of semilinear elliptic equations with nonlinear gradient terms
- A note on the strong maximum principle and the compact support principle
- On solutions of δu=f(u)
This page was built for publication: Solvability of nonlinear elliptic equations with gradient terms
