A priori estimates for elliptic equations with reaction terms involving the function and its gradient

DOI10.1007/s00208-019-01872-xzbMath1453.35092arXiv1810.12230OpenAlexW2963325935WikidataQ127441952 ScholiaQ127441952MaRDI QIDQ2200759

Laurent Véron, García-Huidobro, Marta, Marie-Francoise Bidaut-Véron

Publication date: 22 September 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.12230

zbMATH Keywords

a priori estimatespositive solutionselliptic equationsground states

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62) Entire solutions to PDEs (35B08)

Related Items

Boundary singular solutions of a class of equations with mixed absorption-reaction ⋮ Singular solutions of some elliptic equations involving mixed absorption-reaction ⋮ Local behaviour of the solutions of the Chipot-Weissler equation ⋮ Positive supersolutions of non-autonomous quasilinear elliptic equations with mixed reaction ⋮ Trace and boundary singularities of positive solutions of a class of quasilinear equations ⋮ Elliptic Hamilton-Jacobi systems and Lane-Emden Hardy-Hénon equations ⋮ Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms ⋮ Large time behavior of solutions to a class of hyperbolic inequalities with mixed nonlinearities

Cites Work

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• Nonexistence of positive supersolutions to some nonlinear elliptic problems
• Local and global properties of solutions of quasilinear Hamilton-Jacobi equations
• Local and global behaviour of solutions of quasilinear equations of Emden-Fowler type
• Isolated singularities in semilinear problems
• Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations
• Existence and non-existence results for ground states of quasilinear elliptic equations
• Estimates of solutions of elliptic equations with a source reaction term involving the product of the function and its gradient
• Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms
• Singularity and decay estimates in superlinear problems via Liouville-type theorems. I: Elliptic equations and systems
• Local behavior of solutions of quasi-linear equations
• Liapunov functions for autonomous systems of second order
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Remarks on Blow Up for a Nonlinear Parabolic Equation with a Gradient Term
• Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term
• Asymptotics of solutions of some nonlinear elliptic systems
• Local and Global Aspects of Quasilinear Degenerate Elliptic Equations
• Existence and non-existence of solutions to elliptic equations with a general convection term
• Nonexistence results and estimates for some nonlinear elliptic problems