On entire solutions of elliptic equations with a singular nonlinearity

Jan H. Chabrowski; Manfred König

Displaying similar documents to “On entire solutions of elliptic equations with a singular nonlinearity”

On a Liouville phenomenon for entire weak supersolutions of elliptic partial differential equations

Vasilii V. Kurta (2006)

Annales de l'I.H.P. Analyse non linéaire

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Hardy–Sobolev critical elliptic equations with boundary singularities

N. Ghoussoub, X. S. Kang (2004)

Annales de l'I.H.P. Analyse non linéaire

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A class of $p$ - $q$ -Laplacian type equation with potentials eigenvalue problem in $ℝ^{N}$ .

Wu, Mingzhu, Yang, Zuodong (2009)

Boundary Value Problems [electronic only]

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Solutions for singular critical growth Schrödinger equations with magnetic field.

Han, Pigong (2006)

Portugaliae Mathematica. Nova Série

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Nonexistence theorems for weak solutions of quasilinear elliptic equations.

Kartsatos, A. G., Kurta, V. V. (2001)

Abstract and Applied Analysis

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A global differentiability result for solutions of nonlinear elliptic problems with controlled growths

Luisa Fattorusso (2008)

Czechoslovak Mathematical Journal

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Let $Ω$ be a bounded open subset of $ℝ^{n}$ , $n > 2$ . In $Ω$ we deduce the global differentiability result $u \in H^{2} (Ω, ℝ^{N})$ for the solutions $u \in H^{1} (Ω, ℝ^{n})$ of the Dirichlet problem $u - g \in H_{0}^{1} (Ω, ℝ^{N}), - \sum_{i} D_{i} a^{i} (x, u, D u) = B_{0} (x, u, D u)$ with controlled growth and nonlinearity $q = 2$ . The result was obtained by first extending the interior differentiability result near the boundary and then proving the global differentiability result making use of a covering procedure.

Displaying similar documents to “On entire solutions of elliptic equations with a singular nonlinearity”

On a Liouville phenomenon for entire weak supersolutions of elliptic partial differential equations

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Solutions for singular critical growth Schrödinger equations with magnetic field.

Nonexistence theorems for weak solutions of quasilinear elliptic equations.

A global differentiability result for solutions of nonlinear elliptic problems with controlled growths

A class of $p$ - $q$ -Laplacian type equation with potentials eigenvalue problem in $ℝ^{N}$ .