Singular non-autonomous (p,q)-equations with competing nonlinearities

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F25%3APU155154" target="_blank" >RIV/00216305:26220/25:PU155154 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.nonrwa.2024.104225" target="_blank" >https://doi.org/10.1016/j.nonrwa.2024.104225</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.nonrwa.2024.104225" target="_blank" >10.1016/j.nonrwa.2024.104225</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Singular non-autonomous (p,q)-equations with competing nonlinearities

Popis výsledku v původním jazyce

We consider a parametric non-autonomous (p,q)-equation with a singular term and competing nonlinearities, a parametric concave term and a Carathéodory perturbation. We consider the cases where the perturbation is (p−1)-linear and where it is (p−1)-superlinear (but without the use of the Ambrosetti–Rabinowitz condition). We prove an existence and multiplicity result which is global in the parameter λ>0 (a bifurcation type result). Also, we show the existence of a smallest positive solution and show that it is strictly increasing as a function of the parameter. Finally, we examine the set of positive solutions as a function of the parameter (solution multifunction). First, we show that the solution set is compact in C01(Ω̄) and then we show that the solution multifunction is Vietoris continuous and also Hausdorff continuous as a multifunction of the parameter.

Název v anglickém jazyce

Singular non-autonomous (p,q)-equations with competing nonlinearities

Popis výsledku anglicky

We consider a parametric non-autonomous (p,q)-equation with a singular term and competing nonlinearities, a parametric concave term and a Carathéodory perturbation. We consider the cases where the perturbation is (p−1)-linear and where it is (p−1)-superlinear (but without the use of the Ambrosetti–Rabinowitz condition). We prove an existence and multiplicity result which is global in the parameter λ>0 (a bifurcation type result). Also, we show the existence of a smallest positive solution and show that it is strictly increasing as a function of the parameter. Finally, we examine the set of positive solutions as a function of the parameter (solution multifunction). First, we show that the solution set is compact in C01(Ω̄) and then we show that the solution multifunction is Vietoris continuous and also Hausdorff continuous as a multifunction of the parameter.

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

2025

Kód důvěrnosti údajů

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

Název periodika

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

ISSN

1878-5719

e-ISSN

—

Svazek periodika

81

Číslo periodika v rámci svazku

104225

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

25

Strana od-do

„“-„“

Kód UT WoS článku

001321877100001

EID výsledku v databázi Scopus

2-s2.0-85204606646