A boundary value problem in the hyperbolic space.
A Class of Elliptic Partial Differential Equations with Exponential Nonlinearities.
A Class of Elliptic Partial Differential Equations with Exponential Nonlinearities (Corrigendum).
A class of nonlinear conservative elliptic equations in cylinders
A class of nonlinear elliptic variational inequalities: Qualitative properties and existence of solutions.
A comparison of multilevel methods for total variation regularization.
A difference scheme for an elliptic system of nonlinear differential-functional equations with Dirichlet type boundary conditions. The existence and uniqueness of solution
A Dirichlet problem in the strip.
A discontinuous problem with quasilinear operator.
A fibering map approach to a semilinear elliptic boundary value problem.
A free boundary problem for quasi-linear elliptic equations
A Fujita-type theorem for the Laplace equation with a dynamical boundary condition.
A generalization of Ekeland's variational principle with applications.
A generalization of the saddle point method with applications
We show that one can drop an important hypothesis of the saddle point theorem without affecting the result. We then show how this leads to stronger results in applications.
A Global a posteriori Error Estimate for Quasilinear Elliptic Problems.
A global solution curve for a class of semilinear equations.
A Hölder infinity Laplacian
In this paper we study the limit as p → ∞ of minimizers of the fractional Ws,p-norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this construction, we obtain some regularity results.
A Hölder infinity Laplacian
In this paper we study the limit as p → ∞ of minimizers of the fractional Ws,p-norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this construction, we obtain some regularity results.
A mathematical analysis of thermal explosions.
A minimax inequality for a class of functionals and applications to the existence of solutions for two-point boundary-value problems.