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pro vyhledávání: '"Henriques, Eurica"'
In this work we prove that the non-negative functions $u \in L^s_{loc}(\Omega)$, for some $s>0$, belonging to the De Giorgi classes \begin{equation}\label{eq0.1} \fint\limits_{B_{r(1-\sigma)}(x_{0})} \big|\nabla \big(u-k\big)_{-}\big|^{p}\, dx \leqsl
Externí odkaz:
http://arxiv.org/abs/2403.13539
We study the boundary behavior of solutions to parabolic double-phase equations through the celebrated Wiener's sufficiency criterion. The analysis is conducted for cylindrical domains and the regularity up to the lateral boundary is shown in terms o
Externí odkaz:
http://arxiv.org/abs/2403.06550
We study the decay towards the extinction that pertains to local weak solutions to fully anisotropic equations whose prototype is \[ \partial_t u= \sum_{i=1}^N \partial_i (|\partial_i u|^{p_i-2} \partial_i u), \qquad 1
Externí odkaz:
http://arxiv.org/abs/2309.05022
Autor:
Henriques, Eurica, Ciani, Simone
In this work we are interested in the study of a class of anisotropic porous medium-type equations whose prototype is \[ u_t =\sum_{i=1}^N \left( m_i u^{m_i-1} u_{x_i} \right)_{x_i} \ , \qquad 0
Externí odkaz:
http://arxiv.org/abs/2309.05023
Autor:
Henriques, Eurica
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 February 2023 518(1)
Akademický článek
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Autor:
Henriques, Eurica, Laleoglu, Rojbin
We establish the local H\"older continuity for the nonnegative weak solutions of certain doubly nonlinear parabolic equations possessing a singularity in the time derivative part and a degeneracy in the principal part. The proof involves the method o
Externí odkaz:
http://arxiv.org/abs/1208.0621
Autor:
Henriques, Eurica1 eurica@utad.pt
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations. 2022, p1-24. 24p.
Autor:
Henriques, Eurica
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 May 2011 377(2):710-731
Autor:
Henriques, Eurica, Urbano, José Miguel
Publikováno v:
Indiana University Mathematics Journal, 2006 Jan 01. 55(5), 1701-1721.
Externí odkaz:
https://www.jstor.org/stable/24902661