Monotone iterations of two obstacle problems with different operators
I Gonzálvez, A Miranda, JD Rossi - Journal of Elliptic and Parabolic …, 2024 - Springer
In this paper we analyze iterations of the obstacle problem for two different operators. We
solve iteratively the obstacle problem from above or below for two different differential …
solve iteratively the obstacle problem from above or below for two different differential …
Characterizations of the viscosity solution of a nonlocal and nonlinear equation induced by the fractional p-Laplace and the fractional p-convexity
S Shi, Z Zhai, L Zhang - Advances in Calculus of Variations, 2024 - degruyter.com
In this paper, when studying the connection between the fractional convexity and the
fractional p-Laplace operator, we deduce a nonlocal and nonlinear equation. Firstly, we will …
fractional p-Laplace operator, we deduce a nonlocal and nonlinear equation. Firstly, we will …
[HTML][HTML] The trace fractional Laplacian and the mid-range fractional Laplacian
JD Rossi, J Ruiz-Cases - Nonlinear Analysis, 2024 - Elsevier
In this paper we introduce two new fractional versions of the Laplacian. The first one is
based on the classical formula that writes the usual Laplacian as the sum of the eigenvalues …
based on the classical formula that writes the usual Laplacian as the sum of the eigenvalues …
A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth
A Sen - Forum Mathematicum, 2023 - degruyter.com
Abstract Let Ω⊂ R n be any open set and 𝑢 a weak supersolution of L u= c(x) g(| u|)
u| u|, where L u(x)= pv∫ R ng(| u(x)− u(y)|| x− y| s) u(x)− u(y)| u(x)− u(y)| …
u| u|, where L u(x)= pv∫ R ng(| u(x)− u(y)|| x− y| s) u(x)− u(y)| u(x)− u(y)| …
Equivalence and regularity of weak and viscosity solutions for the anisotropic -Laplacian
P Ochoa, FR Valverde - Nonlinear Differential Equations and Applications …, 2024 - Springer
In this paper, we state the equivalence between weak and viscosity solutions for non-
homogeneous problems involving the anisotropic p (·)-Laplacian. The proof that viscosity …
homogeneous problems involving the anisotropic p (·)-Laplacian. The proof that viscosity …
Hopf's lemmas and boundary behaviour of solutions to the fractional Laplacian in Orlicz-Sobolev spaces
In this article we study different extensions of the celebrated Hopf's boundary lemma within
the context of a family of nonlocal, nonlinear and nonstandard growth operators. More …
the context of a family of nonlocal, nonlinear and nonstandard growth operators. More …
Solving the two membranes problem for different operators by iterations of the obstacle problem
I Gonzalvez, A Miranda, JD Rossi - arXiv preprint arXiv:2310.17745, 2023 - arxiv.org
In this paper we analyze iterations of the obstacle problem for two different operators. We
solve iteratively the obstacle problem from above or below for two different differential …
solve iteratively the obstacle problem from above or below for two different differential …