Detail publikačního výsledku

Multiplicity results for logarithmic double phase problems via Morse theory

RADULESCU, V.; STAPENHORST, M.; WINKERT, P.

Originální název

Multiplicity results for logarithmic double phase problems via Morse theory

Anglický název

Multiplicity results for logarithmic double phase problems via Morse theory

Druh

Článek WoS

Originální abstrakt

In this paper, we study elliptic equations of the form where is the logarithmic double phase operator given by is Euler's number, , , is a bounded domain with Lipschitz boundary , , with , and . Under mild assumptions on the nonlinearity we prove multiplicity results for the problem above and get two constant sign solutions and another third nontrivial solution. This third solution is obtained by using the theory of critical groups. As a result of independent interest, we show that every weak solution of the problem above is essentially bounded.

Anglický abstrakt

In this paper, we study elliptic equations of the form where is the logarithmic double phase operator given by is Euler's number, , , is a bounded domain with Lipschitz boundary , , with , and . Under mild assumptions on the nonlinearity we prove multiplicity results for the problem above and get two constant sign solutions and another third nontrivial solution. This third solution is obtained by using the theory of critical groups. As a result of independent interest, we show that every weak solution of the problem above is essentially bounded.

Klíčová slova

REGULARITY;MINIMIZERS;EXISTENCE;EQUATIONS;FUNCTIONALS;INTEGRALS;CALCULUS

Klíčová slova v angličtině

REGULARITY;MINIMIZERS;EXISTENCE;EQUATIONS;FUNCTIONALS;INTEGRALS;CALCULUS

Autoři

RADULESCU, V.; STAPENHORST, M.; WINKERT, P.

Rok RIV

2026

Vydáno

01.12.2025

Nakladatel

Wiley

Periodikum

Bulletin of the London Mathematical Society

Svazek

57

Číslo

12

Stát

Spojené království Velké Británie a Severního Irska

Strany od

4178

Strany do

4201

Strany počet

24

URL

https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/blms.70190

Plný text v Digitální knihovně

http://hdl.handle.net/11012/255859

BibTex

@article{BUT200216,
  author="Vicentiu {Radulescu} and  {} and Patrick {Winkert}",
  title="Multiplicity results for logarithmic double phase problems via Morse theory",
  journal="Bulletin of the London Mathematical Society",
  year="2025",
  volume="57",
  number="12",
  pages="4178--4201",
  doi="10.1112/blms.70190",
  issn="0024-6093",
  url="https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/blms.70190"
}