Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Santos, Makson"'
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
This paper is devoted to a complete characterization of the free boundary of a particular solution to the following spectral $k$-partition problem with measure and inclusion constraints: \[ \inf \left\{\sum_{i=1}^k \lambda_1(\omega_i)\; : \; \omega_i
Externí odkaz:
http://arxiv.org/abs/2409.14916
We prove optimal regularity estimates for viscosity solutions to a class of fully nonlinear nonlocal equations with unbounded source terms. More precisely, depending on the integrability of the source term $f \in L^p(B_1)$, we establish that solution
Externí odkaz:
http://arxiv.org/abs/2409.03216
In this manuscript, we derive Schauder estimates for viscosity solutions to non-convex fully nonlinear second-order parabolic equations \[ \partial_t u - F(x, t,D^2u) = f (x, t) \quad \text{in} \quad \mathrm{Q}_1 = B_1 \times (-1, 0], \] provided tha
Externí odkaz:
http://arxiv.org/abs/2311.02524
In this paper, we discuss a class of spectral partition problems with a measure constraint, for partitions of a given bounded connected open set. We establish the existence of an optimal open partition, showing that the corresponding eigenfunctions a
Externí odkaz:
http://arxiv.org/abs/2305.02870
In this paper, we investigate a class of doubly nonlinear evolutions PDEs. We establish sharp regularity for the solutions in H\"older spaces. The proof is based on the geometric tangential method and intrinsic scaling technique. Our findings extend
Externí odkaz:
http://arxiv.org/abs/2305.02841
We investigate the regularity of the solutions for a class of degenerate/singular fully nonlinear nonlocal equations. In the degenerate scenario, we establish that there exists at least one viscosity solution of class $C_{loc}^{1, \alpha}$, for some
Externí odkaz:
http://arxiv.org/abs/2302.00423
We prove higher-order fractional Sobolev regularity for fully nonlinear, uniformly elliptic equations in the presence of unbounded source terms. More precisely, we show the existence of a universal number $0< \varepsilon <1$, depending only on ellipt
Externí odkaz:
http://arxiv.org/abs/2204.03119
We derive regularity estimates for viscosity solutions to the parabolic normalized p-Laplace. By using approximation methods and scaling arguments for the normalized p-parabolic operator, we show that the gradient of bounded viscosity solutions is lo
Externí odkaz:
http://arxiv.org/abs/2108.08424
We present a Krylov-Safonov theory approach for the H\"older regularity of viscosity solutions to non-variational porous media type equations. We explore the peculiarity of this type of problem: either the equation falls in a uniformly elliptic regim
Externí odkaz:
http://arxiv.org/abs/2108.00464