Stability results for obstacle problems with measure data

We compute the variation of the loop measure induced by an infinitesimal variation of the generator affecting the killing rates or the jumping rates..

On ´ etudie deux types de probl` emes : un premier est une ´ equation elliptique non d´ eg´ en´ er´ ee dans un domaine born´ e avec des donn´ ees mesures, support´ ees ` a la fois

For the first problem, we prove an optimal regularity result, whereas for the second one the optimality is not guaranteed but we provide however regularity estimates.. R ´

Let us observe that when p > N, the renormalized solution is just a usual weak solution and belongs to some C 0,α (); therefore the notion of renormalized solution is not

PRIGNET, Remarks on existence and uniqueness of solutions of elliptic problems with right-hand side measures, Rend. SERRIN, Pathological solutions of elliptic

MCKENNA, On a conjecture related to the number of the solu- tions of a nonlinear Dirichlet problem, to appear Proc. PODOLAK, On the range operator equations with an

In order to establish the existence and regularity results for the problem (1.1) for a general measure µ , a standard device [8, 26] is to consider solutions to suitable

PRIGNET, Definition and existence of renormalized solutions of elliptic equations with general measure data,