Multiple solutions to a Dirichlet eigenvalue problem with $p$-Laplacian
KeywordsDirichlet eigenvalue problem, p-Laplacian, constant-sign solutions, nodal solutions
AbstractThe existence of a greatest negative, a smallest positive, and a nodal weak solution to a homogeneous Dirichlet problem with $p$-Laplacian and reaction term depending on a positive parameter is investigated via variational as well as topological methods, besides truncation techniques.
How to Cite
MARANO, Salvatore A., MOTREANU, Dumitru & PUGLISI, Daniele. Multiple solutions to a Dirichlet eigenvalue problem with $p$-Laplacian. Topological Methods in Nonlinear Analysis [online]. 22 April 2013, T. 42, nr 2, s. 277–291. [accessed 3.2.2023].
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