Simmetria delle soluzioni di equazioni ellittiche semilineari in $ \mathbb{R}^{N} $

Alberto Farina

Displaying similar documents to “Simmetria delle soluzioni di equazioni ellittiche semilineari in $R^{N}$ ”

New Liouville theorems for linear second order degenerate elliptic equations in divergence form

Luisa Moschini (2005)

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

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On the existence of infinitely many solutions for a class of semilinear elliptic equations in $R^{N}$

Francesca Alessio, Paolo Caldiroli, Piero Montecchiari (1998)

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

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We show, by variational methods, that there exists a set $A$ open and dense in $a \in L^{\infty} (R^{N}) : a \geq 0$ such that if $a \in A$ then the problem $- △ u + u = a (x) {|u|}^{p - 1} u, u \in H^{1} (R^{N})$ , with $p$ subcritical (or more general nonlinearities), admits infinitely many solutions.

Extremal solutions and relaxation for second order vector differential inclusions

Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1998)

Archivum Mathematicum

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In this paper we consider periodic and Dirichlet problems for second order vector differential inclusions. First we show the existence of extremal solutions of the periodic problem (i.e. solutions moving through the extreme points of the multifunction). Then for the Dirichlet problem we show that the extremal solutions are dense in the $C^{1} (T, R^{N})$ -norm in the set of solutions of the “convex” problem (relaxation theorem).

Periodic solutions for differential inclusions in $ℝ^{N}$

Michael E. Filippakis, Nikolaos S. Papageorgiou (2006)

Archivum Mathematicum

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We consider first order periodic differential inclusions in $ℝ^{N}$ . The presence of a subdifferential term incorporates in our framework differential variational inequalities in $ℝ^{N}$ . We establish the existence of extremal periodic solutions and we also obtain existence results for the “convex” and “nonconvex”problems.

A chart preserving the normal vector and extensions of normal derivatives in weighted function spaces

Katrin Schumacher (2009)

Czechoslovak Mathematical Journal

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Given a domain $Ω$ of class $C^{k, 1}$ , $k \in ℕ$ , we construct a chart that maps normals to the boundary of the half space to normals to the boundary of $Ω$ in the sense that $(\partial - \partial x_{n}) α (x^{'}, 0) = - N (x^{'})$ and that still is of class $C^{k, 1}$ . As an application we prove the existence of a continuous extension operator for all normal derivatives of order 0 to $k$ on domains of class $C^{k, 1}$ . The construction of this operator is performed in weighted function spaces where the weight function is taken from the class of Muckenhoupt weights.

Displaying similar documents to “Simmetria delle soluzioni di equazioni ellittiche semilineari in R N ”

New Liouville theorems for linear second order degenerate elliptic equations in divergence form

On the existence of infinitely many solutions for a class of semilinear elliptic equations in R N

Extremal solutions and relaxation for second order vector differential inclusions

Periodic solutions for differential inclusions in ℝ N

A chart preserving the normal vector and extensions of normal derivatives in weighted function spaces

Displaying similar documents to “Simmetria delle soluzioni di equazioni ellittiche semilineari in $R^{N}$ ”

On the existence of infinitely many solutions for a class of semilinear elliptic equations in $R^{N}$

Periodic solutions for differential inclusions in $ℝ^{N}$