Kristály, A., Mezei, I.I. & Szilak, K. (2023) Nonlinear Analysis: Real World Applications [Matematică, Q2]

Publicat: 25 Septembrie 2022

Kristály, A.; Mezei, I.I.; Szilak, K. (2023) Elliptic differential inclusions on non-compact Riemannian manifolds. Nonlinear Analysis: Real World Applications, 69, 103740.

DOI: https://doi.org/10.1016/j.nonrwa.2022.103740

✓ Publisher: Springer
✓ Categories: Mathematics, Applied
✓ Article Influence Score (AIS): 0.781 (2023) / Q2

Abstract: We investigate a large class of elliptic differential inclusions on non-compact complete Riemannian manifolds which involves the Laplace–Beltrami operator and a Hardy-type singular term. Depending on the behavior of the nonlinear term and on the curvature of the Riemannian manifold, we guarantee non-existence and existence/multiplicity of solutions for the studied differential inclusion. The proofs are based on nonsmooth variational analysis as well as isometric actions and fine eigenvalue properties on Riemannian manifolds. The results are also new in the smooth setting.

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