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Displaying 101 – 120 of 212

Linear Pfaff systems with the lower characteristic vectors' set of positive Lebesgue measure.

Izobov, N. (1998)

Memoirs on Differential Equations and Mathematical Physics

Linear stability theory of solitary waves arising from Hamiltonian systems with symmetry

Stubbe, Joachim (1989)

Portugaliae mathematica

Line-energy Ginzburg-Landau models : zero-energy states

Pierre-Emmanuel Jabin, Felix Otto, BenoÎt Perthame (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We consider a class of two-dimensional Ginzburg-Landau problems which are characterized by energy density concentrations on a one-dimensional set. In this paper, we investigate the states of vanishing energy. We classify these zero-energy states in the whole space: They are either constant or a vortex. A bounded domain can sustain a zero-energy state only if the domain is a disk and the state a vortex. Our proof is based on specific entropies which lead to a kinetic formulation, and on a careful...

Liouville results for $m$ -Laplace equations of Lane-Emden-Fowler type

Lucio Damascelli, Alberto Farina, Berardino Sciunzi, Enrico Valdinoci (2009)

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

Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems

Juraj Földes (2011)

Czechoslovak Mathematical Journal

In this paper we establish new nonlinear Liouville theorems for parabolic problems on half spaces. Based on the Liouville theorems, we derive estimates for the blow-up of positive solutions of indefinite parabolic problems and investigate the complete blow-up of these solutions. We also discuss a priori estimates for indefinite elliptic problems.

Liouville theorems and blow up behaviour in semilinear reaction diffusion systems

D. Andreucci, M. A. Herrero, J. J. L. Velázquez (1997)

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

Liouville theorems based on symmetric diffusions

Hiroshi Kaneko (1996)

Bulletin de la Société Mathématique de France

Liouville theorems for a class of linear second-order operators with nonnegative characteristic form.

Kogoj, Alessia Elisabetta, Lanconelli, Ermanno (2007)

Boundary Value Problems [electronic only]

Liouville Theorems for Nondiagonal Elliptic Systems in Arbitrary Dimensions.

Michael Meier (1981)

Mathematische Zeitschrift

Liouville Theorems for Nonlinear Elliptic Equations and Systems.

Michael Meier (1979)

Manuscripta mathematica

Liouville type condition and the interior regularity of quasilinear parabolic system (the case of BMO-solutions)

Jana Stará, Josef Daněček, Oldřich John (1987)

Commentationes Mathematicae Universitatis Carolinae

Liouville type results for periodic and almost periodic linear operators

Luca Rossi (2009)

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

Liouville type theorem for solutions of linear partial differential equations with constant coefficients

Akira Kaneko (2000)

Annales Polonici Mathematici

We discuss existence of global solutions of moderate growth to a linear partial differential equation with constant coefficients whose total symbol P(ξ) has the origin as its only real zero. It is well known that for such equations, global solutions tempered in the sense of Schwartz reduce to polynomials. This is a generalization of the classical Liouville theorem in the theory of functions. In our former work we showed that for infra-exponential growth the corresponding assertion is true if and...

Liouville type theorems for some conformally invariant fully nonlinear equations

YanYan Li (2003)

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

This is a report on some joint work with Aobing Li on Liouville type theorems for some conformally invariant fully nonlinear equations.

Liouville type theorems for φ-subharmonic functions.

Marco Rigoli, Alberto G. Setti (2001)

Revista Matemática Iberoamericana

In this paper we present some Liouville type theorems for solutions of differential inequalities involving the φ-Laplacian. Our results, in particular, improve and generalize known results for the Laplacian and the p-Laplacian, and are new even in these cases. Phragmen-Lindeloff type results, and a weak form of the Omori-Yau maximum principle are also discussed.

Liouville-Gelfand type problems for the $N$ -laplacian on bounded domains of $ℝ^{N}$

Elves A. de B. Silva, Sérgio H. M. Soares (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations

Thomas Bartsch, Peter Poláčik, Pavol Quittner (2011)

Journal of the European Mathematical Society

We prove a Liouville type theorem for sign-changing radial solutions of a subcritical semilinear heat equation $u_{t} = Δ u + {|u|}^{p - 1} u$ . We use this theorem to derive a priori bounds, decay estimates, and initial and final blow-up rates for radial solutions of rather general semilinear parabolic equations whose nonlinearities have a subcritical polynomial growth. Further consequences on the existence of steady states and time-periodic solutions are also shown.

Lipschitz constants for positive solutions of second-order elliptic equations.

Vitolo, Antonio (2010)

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

Lipschitz regularity for some asymptotically convex problems

Lars Diening, Bianca Stroffolini, Anna Verde (2011)

ESAIM: Control, Optimisation and Calculus of Variations

We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.

Lipschitz regularity for some asymptotically convex problems*

Lars Diening, Bianca Stroffolini, Anna Verde (2011)

ESAIM: Control, Optimisation and Calculus of Variations

We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.

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