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Titlebook: Geometric Methods in PDE’s; Giovanna Citti,Maria Manfredini,Francesco Uguzzoni Conference proceedings 2015 Springer International Publishi

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Linear Systems and Higher Order Equations,We study the uniqueness problem of the equation, . where . > . − 1 > 0. and . > .. Uniqueness results proved in this paper hold for equations associated to the mean curvature type operators as well as for more general quasilinear coercive subelliptic problems.
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GP-,DCSP: Experimental Results,Using an improvement of flatness Lemma, we prove Hölder regularity of the gradient of solutions with higher order term a uniformly elliptic fully nonlinear operator and with Hamiltonian which is sub-linear. The result is based on some general compactness results.
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Dynamic General Equilibrium ModelingIn this survey paper we describe some recent progress on the analysis of two phase free boundary problems governed by elliptic inhomogeneous equations. We also discuss several open questions.
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On Friedrichs Commutators Lemma for Hardy Spaces and Applications,We extend the classical Friedrichs commutator lemma—known for .. norms—to the case of local Hardy spaces ., .∕(. + 1) < . ≤ 1, and apply the result to the study of the regularity in Sobolev-Hardy spaces of solutions of elliptic systems of vector fields with non smooth coefficients.
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Multiple Solutions for an Eigenvalue Problem Involving Non-local Elliptic ,-Laplacian Operators,In this paper we establish the existence of two nontrivial weak solutions of a one parameter non-local eigenvalue problem under homogeneous Dirichlet boundary conditions in bounded domains, involving a general non-local elliptic .-Laplacian operator.
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Uniqueness of Solutions of a Class of Quasilinear Subelliptic Equations,We study the uniqueness problem of the equation, . where . > . − 1 > 0. and . > .. Uniqueness results proved in this paper hold for equations associated to the mean curvature type operators as well as for more general quasilinear coercive subelliptic problems.
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