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

Alberto Farina (1999)

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

Nella prima parte di questa Nota si dimostrano dei risultati di simmetria unidimensionale e radiale per le soluzioni di $Δ u + f (u) = 0$ in $R^{N}$ . Questi risultati sono legati a due congetture (De Giorgi, 1978 e Gibbons, 1994) riguardanti la classificazione delle soluzioni dell’equazione $Δ u + u (1 - u^{2}) = 0$ in $R^{N}$ . Si dimostra, in particolare, la seguente generalizzazione della congettura di Gibbons: se $N > 1$ e se l’insieme degli zeri di $u$ è limitato nella direzione $ν$ , allora $u (x) = u_{0} (ν \cdot x)$ , ovvero, $u$ è unidimensionale. Nella seconda parte si considerano...

Slopes of hypergeometric systems of codimension one.

María Isabel Hartillo Hermoso (2003)

Revista Matemática Iberoamericana

We describe the slopes, with respect to the coordinates hyperplanes, of the hypergeometric systems of codimension one, that is when the toric ideal is generated by one element.

Soliton equations and hyperbolic maps

Luke Hodgkin (1983)

Annales de l'I.H.P. Physique théorique

Solutions d'équations d'Hamilton-Jacobi et géométrie symplectique

C. Viterbo (1995/1996)

Séminaire Équations aux dérivées partielles (Polytechnique)

Solutions of boundary-value problems in discretized volumes.

Makai, Mihály, Orechwa, Yuri (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solutions which are flat or Singular on Totally Characteristic Manifolds of first order Partial Differential Equations

E. C. Zachmanoglou (1979)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Solvability of invariant sublaplacians on spheres and group contractions

Fulvio Ricci, Jérémie Unterberger (2001)

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

In the first part of this paper we study the local and global solvability and the hypoellipticity of a family of left-invariant sublaplacians $L_{α}$ on the spheres $S^{2 n + 1} ≃ U (n + 1) / U (n)$ . In the second part, we introduce a larger family of left-invariant sublaplacians $L_{α, β}$ on $S^{3} ≃ S U (2)$ and study the corresponding properties by means of a Lie group contraction to the Heisenberg group.

Some estimates of solutions to Monge-Ampère type equations in dimension two

Giorgio Talenti (1981)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Some exact Solutions of the Korteweg-de Vries Equation with Variable Coefficients

Vladan D. Đorđević (1984)

Zbornik Radova

Some relatively new techniques for nonlinear problems.

Mohyud-Din, Syed Tauseef, Noor, Muhammad Aslam, Noor, Khalida Inayat (2009)

Mathematical Problems in Engineering

Sophus Lie a harmonie v matematické fyzice (k 150. výročí narození)

Nail H. Ibragimov (1994)

Pokroky matematiky, fyziky a astronomie

Straightening of a noncylindrical region and evolution equations

Antonio Bove, Bruno Franchi, Enrico Obrecht (1984)

Rendiconti del Seminario Matematico della Università di Padova

Structure of symmetry groups via Cartan's method: survey of four approaches.

Morozov, Oleg I. (2005)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Sur les conditions globales du problème des conditions initiales du cas extérieur

Alice Chaljub-Simon (1972)

Annales de l'I.H.P. Physique théorique

Sur l'existence et la régularité de solutions radiales pour des équations de type Monge-Ampère complexe.

M. Derridj (1988)

Mathematische Annalen

Symmetric solutions to minimization of a $p$ -energy functional with ellipsoid value.

Lei, Yutian (2003)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Symmetries of connections on fibered manifolds

Alexandr Vondra (1994)

Archivum Mathematicum

The (infinitesimal) symmetries of first and second-order partial differential equations represented by connections on fibered manifolds are studied within the framework of certain “strong horizontal“ structures closely related to the equations in question. The classification and global description of the symmetries is presented by means of some natural compatible structures, eġḃy vertical prolongations of connections.

Currently displaying 1 – 20 of 34