Monotonicity and symmetry of solutions of $p$-Laplace equations, $1 &lt; p &lt; 2$, via the moving plane method

Lucio Damascelli; Filomena Pacella

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Symmetry for exterior elliptic problems and two conjectures in potential theory

Boyan Sirakov (2001)

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

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Monotonicity and symmetry of solutions of $p$ -Laplace equations, $1 < p < 2$ , via the moving plane method

Lucio Damascelli, Filomena Pacella (1998)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We present some monotonicity and symmetry results for positive solutions of the equation $- div ({|D u|}^{p - 2} D u) = f (u)$ satisfying an homogeneous Dirichlet boundary condition in a bounded domain $Ω$ . We assume 1 < p < 2 and $f$ locally Lipschitz continuous and we do not require any hypothesis on the critical set of the solution. In particular we get that if $Ω$ is a ball then the solutions are radially symmetric and strictly radially decreasing.

Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results

Lucio Damascelli (1998)

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

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The index of isolated critical points and solutions of elliptic equations in the plane

G. Alessandrini, R. Magnanini (1992)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Further qualitative properties for elliptic equations in unbounded domains

Henri Berestycki, Luis Caffarelli, Louis Nirenberg (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Displaying similar documents to “Monotonicity and symmetry of solutions of p -Laplace equations, 1 &lt; p &lt; 2 , via the moving plane method”

Symmetry for exterior elliptic problems and two conjectures in potential theory

Monotonicity and symmetry of solutions of p -Laplace equations, 1 < p < 2 , via the moving plane method

Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results

The index of isolated critical points and solutions of elliptic equations in the plane

Further qualitative properties for elliptic equations in unbounded domains

Displaying similar documents to “Monotonicity and symmetry of solutions of $p$ -Laplace equations, $1 < p < 2$ , via the moving plane method”

Monotonicity and symmetry of solutions of $p$ -Laplace equations, $1 < p < 2$ , via the moving plane method