Singularities of elliptic equations with an exponential nonlinearity

DOI10.1007/BF01456000zbMath0567.35034OpenAlexW2024176487MaRDI QIDQ1059778

Laurent Véron, Juan Luis Vazquez

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/163925

zbMATH Keywords

singularitysuper-exponential growth

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Analyticity in context of PDEs (35A20)

Related Items (19)

Positive solutions with weak isolated singularities to some semilinear elliptic equations ⋮ On singular solutions for a semilinear elliptic equation ⋮ Solutions of some nonlinear elliptic problems, which are singular on a submanifold ⋮ On the equation \(-\Delta u + e^{u} - 1 = 0\) with measures as boundary data ⋮ On the constructibility of a negatively curved complete surface of constant mean curvature in \(\mathbb{H}^3\) determined by a prescribed Hopf differential ⋮ Isotropic singularities of solutions of nonlinear elliptic inequalities ⋮ Radial entire solutions to even order semilinear elliptic equations in the plane ⋮ Wiener regularity for large solutions of nonlinear equations ⋮ Quasilinear degenerate elliptic equations with absorption term ⋮ Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity ⋮ Boundary singularities of solutions of some nonlinear elliptic equations ⋮ Partial differential equations. Transl. from the Russian ⋮ Symmetry properties of solutions of semilinear elliptic equations in the plane ⋮ On the homogenization of weakly nonlinear divergent operators in a perforated cube ⋮ Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms ⋮ Anisotropic singularities of solutions of nonlinear elliptic equations in \({\mathbb{R}}^ 2\) ⋮ Debye layer in Poisson-Boltzmann model with isolated singularities ⋮ Unnamed Item ⋮ Isolated singularities of some semilinear elliptic equations

Cites Work

• Long range atomic potentials in Thomas-Fermi theory
• Über die isolierten Singularitäten der Lösungen von \(\Delta u = e^ u\)
• Singularités éliminables pour des équations semi-linéaires
• Removable singularities for some nonlinear elliptic equations
• Local behavior of solutions of quasi-linear equations
• Isolated singularities of solutions of quasi-linear equations
• On a semilinear equation in ℝ²involving bounded measures
• An a priori interior estimate for the solutions of a non-linear problem representing weak diffusion
• Singular solutions of some nonlinear elliptic equations
• Global behaviour and symmetry properties of singular solutions of nonlinear elliptic equations
• Some limit cases of L^p‐estimates for solutions of second order elliptic equations

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