The positive radial solutions of a class of semilinear elliptic equations.
Previous Page 2
Displaying 21 – 32 of 32
The pseudo--Laplace eigenvalue problem and viscosity solutions as
Marino Belloni, Bernd Kawohl (2004)
ESAIM: Control, Optimisation and Calculus of Variations
We consider the pseudo--laplacian, an anisotropic version of the -laplacian operator for . We study relevant properties of its first eigenfunction for finite and the limit problem as .
The pseudo-p-Laplace eigenvalue problem and viscosity solutions as p → ∞
Marino Belloni, Bernd Kawohl (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We consider the pseudo-p-Laplacian, an anisotropic version of the p-Laplacian operator for . We study relevant properties of its first eigenfunction for finite p and the limit problem as p → ∞.
The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part II)
Adam Kubica (2005)
Applicationes Mathematicae
We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
The summability of solutions to variational problems since Guido Stampacchia.
Lucio Boccardo (2003)
RACSAM
Inequalities concerning the integral of |∇u|2 on the subsets where |u(x)| is greater than k can be used in order to prove regularity properties of the function u. This method was introduced by Ennio De Giorgi e Guido Stampacchia for the study of the regularity of the solutions of Dirichlet problems.
The Wiener criterion and quasilinear uniformly elliptic equations
J. H. Michael, William P. Ziemer (1987)
Annales de l'I.H.P. Analyse non linéaire
The Wolff gradient bound for degenerate parabolic equations
Tuomo Kuusi, Giuseppe Mingione (2014)
Journal of the European Mathematical Society
The spatial gradient of solutions to non-homogeneous and degenerate parabolic equations of -Laplacean type can be pointwise estimated by natural Wolff potentials of the right hand side measure.
Time analyticity and backward uniqueness for the Boussinesq equations
Qianqian Hou, Xiaojing Xu (2014)
Colloquium Mathematicae
We prove that strong solutions of the Boussinesq equations in 2D and 3D can be extended as analytic functions of complex time. As a consequence we obtain the backward uniqueness of solutions.
Time and space Sobolev regularity of solutions to homogeneous parabolic equations
Gabriella Di Blasio (1998)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We give necessary and sufficient conditions on the initial data such that the solutions of parabolic equations have a prescribed Sobolev regularity in time and space.
Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity
Eduard Feireisl (1990)
Aplikace matematiky
A parabolic system arisng as a viscosity regularization of the quasilinear one-dimensional telegraph equation is considered. The existence of - a priori estimates, independent of viscosity, is shown. The results are achieved by means of generalized invariant regions.
Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
Mihai Mariş (2010)
Journées Équations aux dérivées partielles
This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.
Travelling Waves in Near-Degenerate Bistable Competition Models
E.O. Alzahrani, F.A. Davidson, N. Dodds (2010)
Mathematical Modelling of Natural Phenomena
We study a class of bistable reaction-diffusion systems used to model two competing species. Systems in this class possess two uniform stable steady states representing semi-trivial solutions. Principally, we are interested in the case where the ratio of the diffusion coefficients is small, i.e. in the near-degenerate case. First, limiting arguments are presented to relate solutions to such systems to those of the degenerate case where one species...
Currently displaying 21 – 32 of 32
Previous Page 2