Anisotropic (p, q)-equations with gradient dependent reaction

Nikolaos Socrates Papageorgiou (Avtor), Vicenţiu Rǎdulescu (Avtor), Dušan Repovš (Avtor)

Povzetek

We consider a Dirichlet problem driven by the anisotropic ▫$(p, q)$▫-Laplacian and a reaction with gradient dependence (convection). The presence of the gradient in the source term excludes from consideration a variational approach in dealing with the qualitative analysis of this problem with unbalanced growth. Using the frozen variable method and eventually a fixed point theorem, the main result of this paper establishes that the problem has a positive smooth solution.

Ključne besede

anisotropic (p, q)-Laplacian;convection;nonvariational problem;nonlinear regularity theory;maximum principle;fixed point;minimal positive solution;

Podatki

Jezik:	Angleški jezik
Leto izida:	2021
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	517.956
COBISS:	69174531
ISSN:	0951-7715
Št. ogledov:	358
Št. prenosov:	84
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Strani:	str. 5319-5343
Letnik:	ǂVol. ǂ34
Zvezek:	ǂno. ǂ8
Čas izdaje:	Aug. 2021
DOI:	10.1088/1361-6544/ac0612
ID:	13153741