Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Anna Zatorska-Goldstein"'
Publikováno v:
Calculus of Variations and Partial Differential Equations. 62
We study solutions to measure data elliptic systems with Uhlenbeck-type structure that involve operator of divergence form, depending continuously on the spacial variable, and exposing doubling Orlicz growth with respect to the second variable. Point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e46ce24ab2c4b1ff19b41b55660ddc12
https://doi.org/10.1007/s00526-022-02402-5
https://doi.org/10.1007/s00526-022-02402-5
Publikováno v:
Journal of Mathematical Analysis and Applications. 479:185-213
We investigate solutions to nonlinear elliptic Dirichlet problems of the type \[ \left\{\begin{array}{cl} - {\rm div} A(x,u,\nabla u)= \mu &\qquad \mathrm{ in}\qquad \Omega, u=0 &\qquad \mathrm{ on}\qquad \partial\Omega, \end{array}\right. \] where $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4bf98880dde97e6cef2699d51770162f
https://doi.org/10.1016/j.jmaa.2019.06.022
https://doi.org/10.1016/j.jmaa.2019.06.022
Publikováno v:
Journal of Differential Equations. 265:5716-5766
We prove existence and uniqueness of renormalized solutions to general nonlinear parabolic equation in Musielak-Orlicz space avoiding growth restrictions. Namely, we consider \[\partial_t u-\mathrm{div} A(x,\nabla u)= f\in L^1(\Omega_T),\] on a Lipsc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bba4974fb0e8f891250a756c3336765b
https://doi.org/10.1016/j.jde.2018.07.020
https://doi.org/10.1016/j.jde.2018.07.020
Publikováno v:
Journal of Mathematical Analysis and Applications. 504:125339
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2eff4f7ce4dd0ffe3559cddd2616a250
https://doi.org/10.1016/j.jmaa.2021.125339
https://doi.org/10.1016/j.jmaa.2021.125339
Publikováno v:
Colloquium Mathematicum. 152:199-215
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c6d31f77563e44fdd9cbe2be9cd67e3
https://doi.org/10.4064/cm7236-5-2017
https://doi.org/10.4064/cm7236-5-2017
Autor:
Anna Zatorska-Goldstein, Piotr Rybka
Publikováno v:
Calculus of Variations and Partial Differential Equations. 59
We study a basic linear elliptic equation on a lower dimensional rectifiable set S in $${\mathbb {R}}^N$$RN with the Neumann boundary data. Set S is a support of a finite Borel measure $$\mu $$μ. We will use the measure theoretic tools to interpret
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c9fcdeb9644c76faa31a93bee7748e1
https://doi.org/10.1007/s00526-019-1695-9
https://doi.org/10.1007/s00526-019-1695-9
This book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs. Though the text reflects the classical theory, the main emphasis is on introducing readers to the latest developments based on the notions of weak solution
Publikováno v:
Problems on Partial Differential Equations ISBN: 9783030147334
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f456d6cf7abd39d67add181154bc224
https://doi.org/10.1007/978-3-030-14734-1_3
https://doi.org/10.1007/978-3-030-14734-1_3
Publikováno v:
Problems on Partial Differential Equations ISBN: 9783030147334
This chapter begins with the introduction and properties of the Fourier transform, and then distributions and weak derivatives are introduced. Second half of the chapter is devoted to Sobolev spaces and their properties.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a40d63f6c143b42b442530ecb0c22640
https://doi.org/10.1007/978-3-030-14734-1_2
https://doi.org/10.1007/978-3-030-14734-1_2