On a critical threshold for nonlinear diffusion equations.
We study some aspects of the asymptotic behavior of the solutions to a class of nonlinear parabolic equations.
On a familiy of torsional creep problems.
On a fourth order superlinear elliptic problem.
On a free boundary problem for minimal surfaces.
On a general class of elliptic equations in devergence.
On a generalization of the Dirichlet integral.
On a generalization of the Keldysh theorem.
On a generalized reflection law for functions satisfying the Helmholtz equation.
On a ground state and two symmetric ground state solutions in a domain
On a hierarchical basis multilevel method with nonconforming P1 elements.
On a inequality of Friedrichs.
On a linear second order degenerate elliptic equation.
On a Liouville phenomenon for entire weak supersolutions of elliptic partial differential equations
On a Liouville type theorem for isotropic homogeneous fully nonlinear elliptic equations in dimension two
In this paper we establish a Liouville type theorem for fully nonlinear elliptic equations related to a conjecture of De Giorgi in . We prove that if the level lines of a solution have bounded curvature, then these level lines are straight lines. As a consequence, the solution is one-dimensional. The method also provides a result on free boundary problems of Serrin type.
On a local Lipschitz constant of the maps related to -decomposition.
On a magnetic characterization of spectral minimal partitions
Given a bounded open set in (or in a Riemannian manifold) and a partition of by open sets , we consider the quantity where is the ground state energy of the Dirichlet realization of the Laplacian in . If we denote by the infimum over all the -partitions of , a minimal -partition is then a partition which realizes the infimum. When , we find the two nodal domains of a second eigenfunction, but the analysis of higher ’s is non trivial and quite interesting. In this paper, we give...
On a maximum principle for elliptic systems with constant coefficients
On a maximum principle for nonlinear equations
On a method for solving a classical variational problem.
On a Method of K. Uhlenbeck for Proving Partial Regularity for Solutions of Certain Nonlinear Elliptic Systems.