Abstract
"This paper is devoted to a subject that Professor Csaba Varga suggested during his frequent visits to the University of Perugia and in my regular stays at the ""Babe s-Bolyai"" University. More speci cally, continuing the work started in [7] jointly with Professor Varga, here we establish the existence of two nontrivial (weak) solutions of some one parameter eigenvalue (p,q)-Laplacian problems under homogeneous Dirichlet boundary conditions in bounded domains of R^N."
Reference20 articles.
1. "1. Arcoya, D., Carmona, J., A nondifferentiable extension of a theorem of Pucci and Serrin and applications, J. Differential Equations, 235(2007), 683-700.
2. 2. Barbu, L., Moroșanu, G., Full description of the eigenvalue set of the Steklov (p, q)-Laplacian, J. Differential Equations, 290(2021), 1-16.
3. 3. Berger, M.S., Nonlinearity and Functional Analysis, Lectures on Nonlinear Problems in Mathematical Analysis, Pure and Applied Mathematics, Academic Press, New York-London, 1977.
4. 4. Bobkov, V., Tanaka, M., Multiplicity of positive solutions for (p, q)-Laplace equations with two parameters, Commun. Contemp. Math., 24(2022), no. 3, Paper No. 2150008, 25 pp.
5. 5. Brézis, H., Functional Analysis, Sobolev Spaces and Partial Differential Equations, Universitext, Springer, New York, 2011.