Constant-sign and nodal solutions for a Neumann problem with $p$-Laplacian and equi-diffusive reaction term

Authors

  • Salvatore A. Marano
  • Nikolaos S. Papageorgiou

Keywords

p-Laplacian, Neumann problem, constant-sign solutions, nodal solutions, truncations, sub- and super-solutions, critical groups

Abstract

The existence of both constant and sign-changing (namely, nodal) solutions to a Neumann boundary-value problem with $p$-Laplacian and reaction term depending on a positive parameter is established. Proofs make use of sub- and super-solution techniques as well as critical point theory.

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Published

2011-04-23

How to Cite

1.
MARANO, Salvatore A. and PAPAGEORGIOU, Nikolaos S. Constant-sign and nodal solutions for a Neumann problem with $p$-Laplacian and equi-diffusive reaction term. Topological Methods in Nonlinear Analysis. Online. 23 April 2011. Vol. 38, no. 2, pp. 233 - 248. [Accessed 4 July 2025].

Issue

Vol 38, No 2 (December 2011)

Section

Articles

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