16 citations · 16 across the 4 of their papers we have counts for
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Higher-order asymptotic expansions and finite difference schemes for the fractional -Laplacian
Félix del Teso, María Medina, Pablo Ochoa
We propose a new asymptotic expansion for the fractional -Laplacian with precise computations of the errors. Our approximation is shown to hold in the whole range $p\in(1,\infty…
Existence and multiplicity of solutions to magnetic Kirchhoff equations in Orlicz-Sobolev spaces
Pablo Ochoa
In this paper, we study the existence and multiplicity of weak solutions to a general type of Kirchhoff equations in magnetic fractional Orlicz-Sobolev spaces. Specifically, we app…
Equivalence of solutions for non-homogeneous p(x)-Laplace equations
María Medina, Pablo Ochoa
We establish the equivalence between weak and viscosity solutions for non-homogeneous -Laplace equations with a right-hand side term depending on the spatial variable, the un…
Variational models for prestrained plates with Monge-Ampère constraint
Marta Lewicka, Pablo Ochoa, Mohammad Reza Pakzad
We derive a new model for pre-strained thin films, which consists of minimizing a biharmonic energy of deformations satisfying the Monge-Ampère constraint $\det\nabl…