22 citations · 28 across the 15 of their papers we have counts for
15 papers
A geometric approach to nonlocal 2-Hessian equations
Fernando Charro, María del Mar González, María Soria-Carro
We study a nonlocal 2-Hessian equation, given by an infimum of linear deformations of the fractional Laplacian, that is, . We characterize…
Pointwise mean-value formulas with quantitative remainder for higher-order Poisson equations
Fernando Charro, Sophia Hertrich, Catherine Lebiedzik
Higher-order Poisson equations involve an integer power of the Laplacian and a nonzero forcing term, and appear in areas of physics and engineering such as hydrodynamics, structura…
On the characterization of polyharmonic functions through iterated means
Fernando Charro, Catherine Lebiedzik, Md Nurul Raihen
We introduce an infinite family of mean-value formulas (exact and asymptotic) given in terms of linear combinations of iterated means. We prove that the mean-value formulas in this…
The Gelfand problem for the Infinity Laplacian
Fernando Charro, Byungjae Son, Peiyong Wang
We study the asymptotic behavior as of the Gelfand problem \[ -Δ_{p} u=λ\,e^{u}\ \textrm{in}\ Ω\subset\mathbb{R}^n,\quad u=0 \ \textrm{on}\ \partialΩ. \] Under an appr…
Asymptotic Mean-Value Formulas for Solutions of General Second-Order Elliptic Equations
Pablo Blanc, Fernando Charro, Juan J. Manfredi +1
We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obt…
Asymptotic mean value formulas for parabolic nonlinear equations
Pablo Blanc, Fernando Charro, Juan J. Manfredi +1
In this paper we characterize viscosity solutions to nonlinear parabolic equations (including parabolic Monge-Ampère equations) by asymptotic mean value formulas. Our asymptotic me…