ON THE NON-COERCIVE COMPETING (p, q)-LAPLACIAN DIRICHLET PROBLEM


Marek Galewski

Abstract: We investigate the existence of generalized solutions to a noncoercive competing system driven by the (p, q)-Laplacian. In order to reach the existence result, we derive an abstract principle based on the convergence of the Galerkin scheme.

Keywords: competing operator, generalized solution, Dirichlet problem, abstract principle.

MSC: 47J05, 35J92.

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DOI       10.56082/annalsarscimath.2026.1.199

marek.galewski@p.lodz.pl, Institute of Mathematics, Lodz University of Technology,al. Politechniki 8, 93-590 Lodz, Poland

PUBLISHED in

Annals Academy of Romanian Scientists Series on Mathematics and Its Application,

Volume 18 no 1, 2026

       

ISSN ONLINE 2066 – 6594
ISSN PRINT 2066 – 5997