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Displaying 561 – 580 of 1170

Liouville theorems for exponentially harmonic functions on Riemannian manifolds.

Hong Min-Chun (1992)

Manuscripta mathematica

Liouville theorems for harmonic maps.

Zhiren Jin (1992)

Inventiones mathematicae

Liouville theorems for self-similar solutions of heat flows

Jiayu Li, Meng Wang (2009)

Journal of the European Mathematical Society

Let $N$ be a compact Riemannian manifold. A quasi-harmonic sphere on $N$ is a harmonic map from $(ℝ^{m}, e^{{| x |}^{2} / 2 (m - 2)} / d s_{0}^{2})$ to $N$ ( $m \geq 3$ ) with finite energy ([LnW]). Here $d s 2_{0}$ is the Euclidean metric in $ℝ^{m}$ . Such maps arise from the blow-up analysis of the heat flow at a singular point. In this paper, we prove some kinds of Liouville theorems for the quasi-harmonic spheres. It is clear that the Liouville theorems imply the existence of the heat flow to the target $N$ . We also derive gradient estimates and Liouville theorems for positive...

Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems

P. Majer (1991)

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

Ljusternik-Schnirelmann theory on $C^{1}$ -manifolds

Andrzej Szulkin (1988)

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

Local generalizations of Lefschetz-Zariski theorems.

Lê Dung Tráng, Helmut H. Hamm (1988)

Journal für die reine und angewandte Mathematik

Local solvability of a constrained gradient system of total variation.

Giga, Yoshikazu, Kashima, Yohei, Yamazaki, Noriaki (2004)

Abstract and Applied Analysis

Local structure of the zero-sets of differentiable mappings and application to bifurcation theory.

Andrzej Szulkin (1979)

Mathematica Scandinavica

Locally Minimizing Harmonic Maps from Noncompact Manifolds.

Wie-Yue Ding (1994)

Manuscripta mathematica

Locally variational invariant field equations and global currents: Chern-Simons theories

Mauro Francaviglia, M. Palese, E. Winterroth (2012)

Communications in Mathematics

We introduce the concept of conserved current variationally associated with locally variational invariant field equations. The invariance of the variation of the corresponding local presentation is a sufficient condition for the current beeing variationally equivalent to a global one. The case of a Chern-Simons theory is worked out and a global current is variationally associated with a Chern-Simons local Lagrangian.

Location, multiplicity and Morse indices of min-max critical points.

N. Ghoussoub (1991)

Journal für die reine und angewandte Mathematik

Location of min-max critical points for multivalued functionals

Alexandru Kristály, Csaba Varga (2001)

Acta Universitatis Carolinae. Mathematica et Physica

Logarithmic structure of the generalized bifurcation set

S. Janeczko (1996)

Annales Polonici Mathematici

Let $G : ℂ^{n} \times ℂ^{r} \to ℂ$ be a holomorphic family of functions. If $Λ \subset ℂ^{n} \times ℂ^{r}$ , $π_{r} : ℂ^{n} \times ℂ^{r} \to ℂ^{r}$ is an analytic variety then $Q_{Λ} (G) = (x, u) \in ℂ^{n} \times ℂ^{r} : G (\cdot, u) h a s a c r i t i c a l p o i n t i n Λ \cap π_{r}^{- 1} (u)$ is a natural generalization of the bifurcation variety of G. We investigate the local structure of $Q_{Λ} (G)$ for locally trivial deformations of $Λ ₀ = π_{r}^{- 1} (0)$ . In particular, we construct an algorithm for determining logarithmic stratifications provided G is versal.

Currently displaying 561 – 580 of 1170

Previous Page 29 Next

Displaying 561 – 580 of 1170

Liouville theorems for exponentially harmonic functions on Riemannian manifolds.

Liouville theorems for harmonic maps.

Liouville theorems for self-similar solutions of heat flows

Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems

Ljusternik-Schnirelmann theory on $C^{1}$ -manifolds

Local generalizations of Lefschetz-Zariski theorems.

Local solvability of a constrained gradient system of total variation.

Local structure of the zero-sets of differentiable mappings and application to bifurcation theory.

Locally Minimizing Harmonic Maps from Noncompact Manifolds.

Locally variational invariant field equations and global currents: Chern-Simons theories

Location, multiplicity and Morse indices of min-max critical points.

Location of min-max critical points for multivalued functionals

Logarithmic structure of the generalized bifurcation set

Long-time existence for a solution of the equation of evolution of harmonic maps into an ellipsoid.

Looking for the Bernoulli shift

Lusternik-Schnirelman Theory and Non-Linear Eigenvalue Problems.

Lusternik-Schnirelman-theory for lagrangian intersections

$m$ -harmonic flow

Magnetic bottles for the Neumann problem : curvature effects in the case of dimension 3 (general case)

Manifolds with Geodesic Chords of Constant Length.

Currently displaying 561 – 580 of 1170