Some useful tools in the study of nonlinear elliptic problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F24%3APU152219" target="_blank" >RIV/00216305:26220/24:PU152219 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.exmath.2024.125616" target="_blank" >https://doi.org/10.1016/j.exmath.2024.125616</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.exmath.2024.125616" target="_blank" >10.1016/j.exmath.2024.125616</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Some useful tools in the study of nonlinear elliptic problems

Popis výsledku v původním jazyce

This paper gives an overview of some basic aspects concerning the qualitative analysis of nonlinear, nonhomogeneous elliptic problems. We are concerned with two classes of elliptic equations with Dirichlet boundary condition. The first problem is driven by a general nonhomogeneous differential operator, which includes several usual operators (such as the (p,q)-Laplace operator introduced by P. Marcellini). Next, we focus on differential operators with unbalanced growth in the nonautonomous case. Our analysis will point out some relevant differences between balanced and unbalanced growth problems. The presentation is done in the context of Dirichlet problems but a similar analysis can be developed for other boundary conditions, such as Neumann or Robin.

Název v anglickém jazyce

Some useful tools in the study of nonlinear elliptic problems

Popis výsledku anglicky

This paper gives an overview of some basic aspects concerning the qualitative analysis of nonlinear, nonhomogeneous elliptic problems. We are concerned with two classes of elliptic equations with Dirichlet boundary condition. The first problem is driven by a general nonhomogeneous differential operator, which includes several usual operators (such as the (p,q)-Laplace operator introduced by P. Marcellini). Next, we focus on differential operators with unbalanced growth in the nonautonomous case. Our analysis will point out some relevant differences between balanced and unbalanced growth problems. The presentation is done in the context of Dirichlet problems but a similar analysis can be developed for other boundary conditions, such as Neumann or Robin.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

EXPOSITIONES MATHEMATICAE

ISSN

0723-0869

e-ISSN

1878-0792

Svazek periodika

42(6)

Číslo periodika v rámci svazku

125616

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

27

Strana od-do

1-27

Kód UT WoS článku

001321531900001

EID výsledku v databázi Scopus

2-s2.0-85204424978