Positive solutions of the p-Laplacian with potential terms on weighted Riemannian manifolds with linear diameter growth

• Atsushi Kasue ^[1]
  1. [1] Kanazawa University

     Kanazawa University

     Japón

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 39, Nº 6, 2023, págs. 2233-2288
• Idioma: inglés
• DOI: 10.4171/RMI/1432
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• Resumen

  • In this paper, we consider the p-Laplacian with potential terms on a connected, noncompact, complete weighted Riemannian manifold whose Ricci curvature has quadratic decay, or a lower bound. We investigate the structure and the behavior of positive solutions under the assumption that the metric spheres of the Riemannian manifold have linear diameter growth.