Temat: anisotropic regularity - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Positive solutions for nonparametric anisotropic singular solutions
Autorzy:: Papageorgiou, Nikolaos S.
Rădulescu, Vicenţiu D.
Sun, Xueying
Powiązania:: https://bibliotekanauki.pl/articles/29519752.pdf
Data publikacji:: 2024
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: anisotropic regularity
variable Lebesgue
Sobolev spaces
anisotropic maximum principle
truncations and comparisons
Hardy inequality
Opis:: We consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a “superlinear” perturbation. There is no parameter in the problem. Using variational tools and truncation and comparison techniques, we show the existence of at least two positive smooth solutions.
Źródło:: Opuscula Mathematica; 2024, 44, 3; 409-423
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion
Autorzy:: Mucha, Piotr
Zajączkowski, Wojciech
Powiązania:: https://bibliotekanauki.pl/articles/1208168.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: anisotropic Sobolev space
Navier-Stokes equations
local existence
sharp regularity
incompressible viscous barotropic self-gravitating fluid
Opis:: The local-in-time existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion is proved. We show the existence of solutions with lowest possible regularity for this problem such that $u\in W^{2,1}_r(\widetilde{{\mitΩ}}^T)$ with r>3. The existence is proved by the method of successive approximations where the solvability of the Cauchy-Neumann problem for the Stokes system is applied. We have to underline that in the $L_p$-approach the Lagrangian coordinates must be used. We are looking for solutions with lowest possible regularity because this simplifies the proof and decreases the number of compatibility conditions.
Źródło:: Applicationes Mathematicae; 2000, 27, 3; 319-333
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja