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Editorial

Olga Krupková (2010)

Communications in Mathematics

Editorials' note

Miroslav Fiedler, Pankaj Jain, Lars-Erik Persson (2009)

Czechoslovak Mathematical Journal

Eigenvalues of the $p$ -Laplacian in $𝐑^{N}$ with indefinite weight

Yin Xi Huang (1995)

Commentationes Mathematicae Universitatis Carolinae

We consider the nonlinear eigenvalue problem $- {div (| \nabla u |}^{p - 2} {\nabla u) = λ g (x) | u |}^{p - 2} u$ in $𝐑^{N}$ with $p > 1$ . A condition on indefinite weight function $g$ is given so that the problem has a sequence of eigenvalues tending to infinity with decaying eigenfunctions in $W^{1, p} (𝐑^{N})$ . A nonexistence result is also given for the case $p \geq N$ .

Ein Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses.

Jürgen Jost (1981)

Manuscripta mathematica

Eine geometrische Bemerkung zu Sätzen über harmonische Abbildungen, die ein Dirichletproblem lösen.

Jürgen Jost (1980)

Manuscripta mathematica

Eine globalanalytische Behandlung des Douglas'schen Problems.

Karlheinz Schüffler (1984)

Manuscripta mathematica

Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics.

Benbrik, A., Mbarki, A., Lahrech, S., Ouahab, A. (2006)

Lobachevskii Journal of Mathematics

Elliptic resonance problems with unequal limits at infinity.

Martin Schechter (1994)

Mathematische Annalen

Energies of $S^{2}$ -valued harmonic maps on polyhedra with tangent boundary conditions

A. Majumdar, J. M. Robbins, M. Zyskin (2008)

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

Energy and Morse index of solutions of Yamabe type problems on thin annuli

Mohammed Ben Ayed, Khalil El Mehdi, Mohameden Ould Ahmedou, Filomena Pacella (2005)

Journal of the European Mathematical Society

We consider the Yamabe type family of problems $(P_{ε}) : - Δ u_{ε} = u_{ε}^{(n + 2) / (n - 2)}$ , $u_{ε} > 0$ in $A_{ε}$ , $u_{ε} = 0$ on $\partial A_{ε}$ , where $A_{ε}$ is an annulus-shaped domain of $ℝ^{n}$ , $n \geq 3$ , which becomes thinner as $ε \to 0$ . We show that for every solution $u_{ε}$ , the energy $\int_{A_{ε}} | \nabla u_{|}^{2}$ as well as the Morse index tend to infinity as $ε \to 0$ . This is proved through a fine blow up analysis of appropriate scalings of solutions whose limiting profiles are regular, as well as of singular solutions of some elliptic problem on $ℝ^{n}$ , a half-space or an infinite strip. Our argument also involves a Liouville type theorem...

Energy estimates and Liouville theorems for harmonic maps

Kenshô Takegoshi (1990)

Annales scientifiques de l'École Normale Supérieure

Energy gaps for exponential Yang-Mills fields

Zhen Rong Zhou (2018)

Archivum Mathematicum

In this paper, some inequalities of Simons type for exponential Yang-Mills fields over compact Riemannian manifolds are established, and the energy gaps are obtained.

Energy minimizing harmonic maps with an obstacle at the free boundary.

Frank Duzaar, Joseph F. Grotowski (1994)

Manuscripta mathematica

Energy quantization and mean value inequalities for nonlinear boundary value problems

Katrin Wehrheim (2005)

Journal of the European Mathematical Society

We give a unified statement and proof of a class of well known mean value inequalities for nonnegative functions with a nonlinear bound on the Laplacian. We generalize these to domains with boundary, requiring a (possibly nonlinear) bound on the normal derivative at the boundary. These inequalities give rise to an energy quantization principle for sequences of solutions of boundary value problems that have bounded energy and whose energy densities satisfy nonlinear bounds on the Laplacian and normal...

Equivalence and zero sets of certain maps on infinite dimensional spaces are studied using an approach similar to the deformation lemma from the singularity theory.

Currently displaying 1 – 20 of 86

Page 1 Next

Displaying 1 – 20 of 86

Editorial

Editorials' note

Eigenvalues of the $p$ -Laplacian in $𝐑^{N}$ with indefinite weight

Ein Existenzbeweis für harmonische Abbildungen, die ein Dirichletproblem lösen, mittels der Methode des Wärmeflusses.

Eine geometrische Bemerkung zu Sätzen über harmonische Abbildungen, die ein Dirichletproblem lösen.

Eine globalanalytische Behandlung des Douglas'schen Problems.

Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics.

Elliptic resonance problems with unequal limits at infinity.

Energies of $S^{2}$ -valued harmonic maps on polyhedra with tangent boundary conditions

Energy and Morse index of solutions of Yamabe type problems on thin annuli

Energy estimates and Liouville theorems for harmonic maps

Energy gaps for exponential Yang-Mills fields

Energy minimizing harmonic maps with an obstacle at the free boundary.

Energy quantization and mean value inequalities for nonlinear boundary value problems

Energy quantization for Yamabe's problem in conformal dimension.

Energy spectrum of certain harmonic mappings

Equivalence and zero sets of certain maps in infinite dimensions

Equivariant harmonic maps between manifolds with metrics of $(p, q)$ -signature

Equivariant harmonic maps into the sphere via isoparametric maps.

Errata-Corrigé : «Remarques sur les équations de Navier-Stokes stationnaires»

Currently displaying 1 – 20 of 86