Zobrazeno 1 - 10
of 44 509
pro vyhledávání: '"Fully nonlinear"'
Autor:
Das, Arijit, Tran, Minh-Binh
This article introduces a novel numerical approach, based on Finite Volume Techniques, for studying fully nonlinear coagulation-fragmentation models, where both the coagulation and fragmentation components of the collision operator are nonlinear. The
Externí odkaz:
http://arxiv.org/abs/2412.05402
Autor:
George, Mathew, Guan, Bo
Over many decades fully nonlinear PDEs, and the complex Monge-Amp\`ere equation in particular played a central role in the study of complex manifolds. Most previous works focused on problems that can be expressed through equations involving real $(1,
Externí odkaz:
http://arxiv.org/abs/2411.10946
We study a general class of elliptic free boundary problems equipped with a Dirichlet boundary condition. Our primary result establishes an optimal $C^{1,1}$-regularity estimate for $L^p$-strong solutions at points where the free and fixed boundaries
Externí odkaz:
http://arxiv.org/abs/2412.17079
Autor:
Gallistl, Dietmar, Tran, Ngoc Tien
This work introduces finite element methods for a class of elliptic fully nonlinear partial differential equations. They are based on a minimal residual principle that builds upon the Alexandrov--Bakelman--Pucci estimate. Under rather general structu
Externí odkaz:
http://arxiv.org/abs/2412.07568
Autor:
Shankar, Ravi
We show removability of half-line singularities for viscosity solutions of fully nonlinear elliptic PDEs which have classical density and a Jacobi inequality. An example of such a PDE is the Monge-Amp\`ere equation, and the original proof follows fro
Externí odkaz:
http://arxiv.org/abs/2411.17133
We examine boundary regularity for a fully nonlinear free transmission problem. We argue using approximation methods, comparing the operators driving the problem with a limiting profile. Working natural conditions on the data of the problem, we produ
Externí odkaz:
http://arxiv.org/abs/2411.15335
Autor:
Alcantara, Claudemir, Santos, Makson
We investigate fractional regularity estimates up to the boundary for solutions to fully nonlinear elliptic equations with measurable ingredients. Specifically, under the assumption of uniform ellipticity of the operator, we demonstrate that viscosit
Externí odkaz:
http://arxiv.org/abs/2411.15311
We establish interior $W^{2,\delta}$ type estimates for a class of degenerate fully nonlinear elliptic equations with $L^n$ data. The main idea of our approach is to slide $C^{1,\alpha}$ cones, instead of paraboloids, vertically to touch the solution
Externí odkaz:
http://arxiv.org/abs/2411.02846
Autor:
Cabeza, Juan Pablo
In this survey we prove H\"older regularity results for viscosity solutions of fully nonlinear nonlocal uniformly elliptic second order differential equations with local gradient terms. This extends the nonlocal counterpart of the work of G. Barles,
Externí odkaz:
http://arxiv.org/abs/2410.11518