Landesman-Lazer-Alternative Theorems for a Class of Nonlinear Functional Equations.
Existenz und Konvergenz von Lösungen nichtlinearer elliptischer Differentialgleichungen unter Dirichletrandbedingungen.
A Regularity Result for Nonlinear Elliptic Systems.
A Dicontinuous Solution of a Mildly Nonlinear Elliptic System.
Two Dimensional Variational Problems with Thin Obstacles.
An Existence Theorem for Class of Non-Coercive Optimization and Variational Problems.
On the Regularity of the Solution of the Biharmonic Variational Inequality.
On Two-Dimensional Quasi-Linear Elliptic Systems.
A Landesman-Lazer alternative theorem for a class of optimization problems.
Monotone operators with linear range
On the smoothness of solutions of variational inequalities with obstacles
On Signorini's problem and variational problems with thin obstacles
Local solutions for stochastic Navier Stokes equations
Variational Inequalities with One-Sided Irregular Obstacles.
Existence of regular solutions to the stationary Navier-Stokes equations.
Smooth solutions of systems of quasilinear parabolic equations
We consider in this article diagonal parabolic systems arising in the context of stochastic differential games. We address the issue of finding smooth solutions of the system. Such a regularity result is extremely important to derive an optimal feedback proving the existence of a Nash point of a certain class of stochastic differential games. Unlike in the case of scalar equation, smoothness of solutions is not achieved in general. A special structure of the nonlinear hamiltonian seems to be the...
On the regularity of the stationary Navier-Stokes equations
Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains
Irregular obstacles and quasi-variational inequalities of stochastic impulse control
Systems of Bellman Equations to Stochastic Differential Games with Discount Control
We consider two dimensional diagonal elliptic systems which arise from stochastic differential games with discount control. The Hamiltonians have quadratic growth in and a special structure which has notyet been covered by regularity theory. Without smallness condition on , the existence of a regular solution is established.
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