L2 Decay for the Navier-Stokes Flow in Halfspaces.
Large norm solutions to nonlinear elliptic problems
Large solutions, metasolutions, and asymptotic behaviour of the regular positive solutions of sublinear parabolic problems.
L’équation de Klein Gordon à données petites
Liouville theorems based on symmetric diffusions
Liouville Theorems for Nondiagonal Elliptic Systems in Arbitrary Dimensions.
Liouville type theorem for solutions of linear partial differential equations with constant coefficients
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 φ-subharmonic functions.
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.
Local asymptotic symmetry of singular solutions to nonlinear elliptic equations.
Local behavior and global existence of positive solutions of auλ≤−Δu≤uλ
Local estimates: uniqueness of solutions to some nonlinear elliptic equations.
Local Existence and Regularity for a Class of Degenerate Parabolic Equations.
Log-concavity in some parabolic problems.
Lokale Kerne und beschränkte Lösungen für den ...-Operator auf q-konvexen Gebieten.
Long-time dynamics of an integro-differential equation describing the evolution of a spherical flame.
This article is devoted to the study of a flame ball model, derived by G. Joulin, which satisfies a singular integro-differential equation. We prove that, when radiative heat losses are too important, the flame always quenches; when heat losses are smaller, it stabilizes or quenches, depending on an energy input parameter. We also examine the asymptotics of the radius for these different regimes.
Long-time vanishing properties of solutions of some semilinear parabolic equations