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7 papers · 1 filter
Remarks on some quasilinear equations with gradient terms and measure data
Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Veron
Let be a smooth bounded domain, a Caratheodory function defined in and a bounded Radon measure in We study…
Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator
Jean Dolbeault, Marta Garcia-Huidobro, Raul Manásevich
We consider radial solutions of an elliptic equation involving the p-Laplace operator and prove by a shooting method the existence of compactly supported solutions with any prescri…
Linearized theory for entire solutions of a singular Liouvillle equation
Manuel del Pino, Pierpaolo Esposito, Monica Musso
We discuss invertibility properties for entire finite-energy solutions of the regularized version of a singular Liouvillle equation.
Boundary singularities for weak solutions of semilinear elliptic problems
Manuel del Pino, Monica Musso, Frank Pacard
We construct positive weak solutions of a class of semilinear elliptic equation which vanish in suitable trace sense on the boundary of a given smooth bounded N-dimensional domain,…
On the Uniqueness of Positive Solutions of a Quasilinear Equation Containing a Weighted p-Laplacian, the Superlinear Case
Marta Garcia-Huidobro, Duvan Henao
We consider the problem of uniqueness of positive solutions to boundary value problems containing the equation: -Δ_p u =K(|x|)f(u), p>1. f is positive, is locally Lipschitz and sat…
How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
C. Cortazar, M. Elgueta, J. D. Rossi +1
We present a model for nonlocal diffusion with Neumann boundary conditions in a bounded smooth domain prescribing the flux through the boundary. We study the limit of this family o…