Singular solutions of some quasilinear elliptic equations

DOI10.1007/BF00251804zbMath0619.35045OpenAlexW1986643318MaRDI QIDQ1089506

Laurent Véron, Avner Friedman

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00251804

zbMATH Keywords

quasilinear elliptic equationglobal positive solutionsisolated singularitiesp-harmonic equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Analyticity in context of PDEs (35A20) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (21)

Isolated singularities of positive solutions to the weighted \(p\)-Laplacian ⋮ Prescribed singular submanifolds of some quasilinear elliptic equations ⋮ Boundary singularities of solutions of \(N\)-harmonic equations with absorption ⋮ Local behaviour of singular solutions for nonlinear elliptic equations in divergence form ⋮ Singular solutions for divergence-form elliptic equations involving regular variation theory: existence and classification ⋮ Singular solutions for coercive quasilinear elliptic inequalities with nonlocal terms ⋮ A priori estimates and application to the symmetry of solutions for critical \(p\)-Laplace equations ⋮ Local and global properties of \(p\)-Laplace Hénon equation ⋮ A dynamical system approach to the construction of singular solutions of some degenerate elliptic equations. ⋮ Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity ⋮ Separable solutions of some quasilinear equations with source reaction ⋮ The spherical \(p\)-harmonic eigenvalue problem in non-smooth domains ⋮ Removable sets for continuous solutions of quasilinear elliptic equations with nonlinear source or absorption terms ⋮ Isolated singularities for weighted quasilinear elliptic equations ⋮ A Very Singular Solution of a Quasilinear Degenerate Diffusion Equation With Absorption ⋮ Boundary Harnack inequality and a priori estimates of singular solutions of quasilinear elliptic equations ⋮ Sharp existence and classification results for nonlinear elliptic equations in \(\mathbb{R}^N \setminus \{0\}\) with Hardy potential ⋮ Gradient estimates for nonlinear elliptic equations with a gradient-dependent nonlinearity ⋮ A symmetry result for the \(p\)-Laplacian in a punctured manifold ⋮ Unnamed Item ⋮ Decaying positive entire solutions of the $p$-Laplacian

Cites Work

• Unnamed Item
• Long range atomic potentials in Thomas-Fermi theory
• On the inequality \(\Delta u \geqq f (u)\)
• Removable singularities of some strongly nonlinear elliptic equations
• Regularity for a more general class of quasilinear equations
• Local behavior of solutions of quasi-linear equations
• Isolated singularities of solutions of quasi-linear equations
• Some aspects of the Thomas-Fermi equation
• An a priori interior estimate for the solutions of a non-linear problem representing weak diffusion
• Singular solutions of some nonlinear elliptic equations
• Asymptotische Integration der Differentialgleichung des Thomas-Fermischen Atoms
• FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS
• Global behaviour and symmetry properties of singular solutions of nonlinear elliptic equations
• On harnack type inequalities and their application to quasilinear elliptic equations

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