Nonlinear harmonic measures on trees.
Nonlinear perturbation of balayage spaces.
Nonlinear potential theory for Sobolev spaces on Carnot groups.
Nonlinear weakly elliptic systems of variational inequalities with unilateral obstacle constraints.
On critical points of harmonic functions in the plane.
On some translation invariant balayage spaces
It is well known that strong Feller semigroups generate balayage spaces provided the set of their excessive functions contains sufficiently many elements. In this note, we give explicit examples of strong Feller semigroups which do generate balayage spaces. Further we want to point out the role of the generator of the semigroup in the related potential theory.
On the analytic structure of harmonic groups.
On the base and the essential base in parabolic potential theory
On the logarithmic potential defined for a Van Koch curve.
On the optimal growth of functions with bounded Laplacian.
On the Poisson equation in the potential theory of a single kernel.
Orlicz capacities and applications to some existence questions for elliptic PDEs having measure data
We study the sequence , which is solution of in an open bounded set of and on , when tends to a measure concentrated on a set of null Orlicz-capacity. We consider the relation between this capacity and the -function , and prove a non-existence result.
Orlicz capacities and applications to some existence questions for elliptic pdes having measure data
We study the sequence un, which is solution of in Ω an open bounded set of RN and un= 0 on ∂Ω, when fn tends to a measure concentrated on a set of null Orlicz-capacity. We consider the relation between this capacity and the N-function Φ, and prove a non-existence result.
Perturbation theory for nonlinear Dirichlet problems.
Perturbations and nonlinear harmonic spaces. (Perturbations et espaces harmoniques non linéares.)
Polar sets for supersolutions of degenerate elliptic equations.
Potential spaces on fractals
We introduce potential spaces on fractal metric spaces, investigate their embedding theorems, and derive various Besov spaces. Our starting point is that there exists a local, stochastically complete heat kernel satisfying a two-sided estimate on the fractal considered.
Potential theory and Lefschetz theorems for arithmetic surfaces
Potential theory of quasiminimizers.
Properties of the mappings that are close to the harmonic mappings. II.