On eigenvalue problems governed by the (p, q)-Laplacian

Authors

  • Lumini¸ta BARBU ”Ovidius” University, Faculty of Mathematics and Computer Science, Constan¸ta, Romania e-mail: lbarbu@univ-ovidius.ro
  • Gheorghe MOROȘANU ”Babeș-Bolyai” University, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania e-mail: morosanu@math.ubbcluj.ro https://orcid.org/0000-0002-3384-0298

DOI:

https://doi.org/10.24193/subbmath.2023.1.05

Keywords:

Eigenvalue problem, (p, q)-Laplacian, Sobolev space, Nehari manifold, variational methods, Lagrange multipliers.

Abstract

This is a survey on recent results, mostly of the authors, regarding eigenvalue problems governed by the (p, q)−Laplacian and related open problems.

Mathematics Subject Classification (2010): 35J60, 35J92, 35P30.

Received 23 October 2022; Revised 14 November 2022. Published Online: 2023-03-20. Published Print: 2023-04-30

Author Biographies

Lumini¸ta BARBU, ”Ovidius” University, Faculty of Mathematics and Computer Science, Constan¸ta, Romania e-mail: lbarbu@univ-ovidius.ro

”Ovidius” University, Faculty of Mathematics and Computer Science, 124 Mamaia Blvd, 900527 Constan¸ta, Romania e-mail: lbarbu@univ-ovidius.ro

Gheorghe MOROȘANU, ”Babeș-Bolyai” University, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania e-mail: morosanu@math.ubbcluj.ro

”Babeș-Bolyai” University, Faculty of Mathematics and Computer Science, 1 Mihail Kog˘alniceanu Street, 400084 Cluj-Napoca, Romania e-mail: morosanu@math.ubbcluj.ro

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Published

2023-03-20

How to Cite

BARBU, L., & MOROȘANU, G. (2023). On eigenvalue problems governed by the (p, q)-Laplacian. Studia Universitatis Babeș-Bolyai Mathematica, 68(1), 63–76. https://doi.org/10.24193/subbmath.2023.1.05

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