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arXiv · 2307.10752

On competing (p,q) -Laplacian Drichlet problem with unbounded weight

Josef Diblik·Marek Galewski·Igor Kossowski·Dumitru Motreanu
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Abstract

We investigate the existence of generalized solutions to coercive competing system driven by the (p,q) -Laplacian with unbounded perturbation corresponding to the leading term in the differential operator and with convection depending on the gradient. Some abstract principle leading to the existence of generalized solutions is also derived basing on the Galerkin scheme.

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Josef Diblik, Marek Galewski, Igor Kossowski, Dumitru Motreanu. 2023-07-20. On competing (p,q) -Laplacian Drichlet problem with unbounded weight. https://arxiv.org/abs/2307.10752

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