Esistenza ed unicità della soluzione di una disequazione variazionale associata ad un operatore ellittico del secondo ordine a coefficienti discontinui
In this note I extend some previuos results concerning a generalized maximum principle for linear second order elliptic equations in divergence form, to the case of unbounded domains.
We give some counterexamples concerning the regularity of the first (resp. second) derivatives of solutions of linear second order elliptic partial differential equations in divergence form (resp. in non-divergence form).
We give some counterexamples concerning the regularity of the first (resp. second) derivatives of solutions of linear second order elliptic partial differential equations in divergence form (resp. in non-divergence form).
In this note I consider a class of linear second order elliptic partial differential equations with discontinuous coefficients and prove some results concerning the Dirichlet problem for such equations.
We prove Holder regularity for solutions of mixed boundary value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients, in the presence of boundary integrals.
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