Fatou theorems for some nonlinear elliptic equations.
Fine topology and quasilinear elliptic equations
It is shown that the -fine topology defined via a Wiener criterion is the coarsest topology making all supersolutions to the -Laplace equationcontinuous. Fine limits of quasiregular and BLD mappings are also studied.
Finite element approximations of a glaciology problem
In this paper we study a model problem describing the movement of a glacier under Glen’s flow law and investigated by Colinge and Rappaz [Colinge and Rappaz, ESAIM: M2AN 33 (1999) 395–406]. We establish error estimates for finite element approximation using the results of Chow [Chow, SIAM J. Numer. Analysis 29 (1992) 769–780] and Liu and Barrett [Liu and Barrett, SIAM J. Numer. Analysis 33 (1996) 98–106] and give an analysis of the convergence of the successive approximations used in [Colinge and...
Finite element approximations of a glaciology problem
In this paper we study a model problem describing the movement of a glacier under Glen's flow law and investigated by Colinge and Rappaz [Colinge and Rappaz, ESAIM: M2AN33 (1999) 395–406]. We establish error estimates for finite element approximation using the results of Chow [Chow, SIAM J. Numer. Analysis29 (1992) 769–780] and Liu and Barrett [Liu and Barrett, SIAM J. Numer. Analysis33 (1996) 98–106] and give an analysis of the convergence of the successive approximations used in [Colinge and...
Finite element approximations of the three dimensional Monge-Ampère equation
In this paper, we construct and analyze finite element methods for the three dimensional Monge-Ampère equation. We derive methods using the Lagrange finite element space such that the resulting discrete linearizations are symmetric and stable. With this in hand, we then prove the well-posedness of the method, as well as derive quasi-optimal error estimates. We also present some numerical experiments that back up the theoretical findings.
Finite element approximations of the three dimensional Monge-Ampère equation
In this paper, we construct and analyze finite element methods for the three dimensional Monge-Ampère equation. We derive methods using the Lagrange finite element space such that the resulting discrete linearizations are symmetric and stable. With this in hand, we then prove the well-posedness of the method, as well as derive quasi-optimal error estimates. We also present some numerical experiments that back up the theoretical findings.
Finite Morse index solutions of exponential problems
First moments of energy and convergence to equilibrium.
First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems.
Fite and Kamenev type oscillation criteria for second order elliptic equations
Fite and Kamenev type oscillation criteria for the second order nonlinear damped elliptic differential equation are obtained. Our results are extensions of those for ordinary differential equations and improve some known oscillation criteria in the literature. Several examples are given to show the significance of the results.
Forced oscillations of half-linear elliptic equations via Picone-type inequality.
Formules min-max pour les vitesses d'ondes progressives multidimensionnelles
From repeated games to brownian games
Fully nonlinear second order elliptic equations : recent development
Fully nonlinear second order elliptic equations with large zeroth order coefficient
We prove the existence of classical solutions to certain fully non-linear second order elliptic equations with large zeroth order coefficient. The principal tool is an a priori estimate asserting that the -norm of the solution cannot lie in a certain interval of the positive real axis.
Function theory for a Beltrami algebra.
Functionals with linear growth in the calculus of variations. I.
Functionals with linear growth in the calculus of variations. II.
Further remark on a theorem by E. M. Landesman and A. C. Lazer