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Constant-Sign and Nodal Solutions to a Dirichlet Problem with p-Laplacian and Nonlinearity Depending on a Parameter

Proceedings of the Edinburgh Mathematical Society, 2013
AbstractA homogeneous Dirichlet problem with p-Laplacian and reaction term depending on a parameter λ > 0 is investigated. At least five solutions—two negative, two positive and one sign-changing (namely, nodal)—are obtained for all λ sufficiently small by chiefly assuming that the involved non-linearity exhibits a concave-convex growth rate. Proofs
MARANO, Salvatore Angelo   +1 more
openaire   +2 more sources

Constant sign and nodal solutions for superlinear double phase problems

Advances in Calculus of Variations, 2021
Leszek Gasiński   +1 more
exaly  

Unilateral global bifurcation and nodal solutions for thep-Laplacian with sign-changing weight

Complex Variables and Elliptic Equations, 2014
Guowei Dai, Xiaoling Han, Ruyun Ma
exaly  

Global bifurcation and nodal solutions for fourth-order problems with sign-changing weight

Applied Mathematics and Computation, 2013
Guowei Dai, Xiaoling Han
exaly  

Location of Nodal solutions for quasilinear elliptic equations with gradient dependence

Discrete and Continuous Dynamical Systems - Series S, 2018
Dumitru Motreanu, Abdelkrim Moussaoui
exaly  

Constant sign and nodal solutions for parametric anisotropic (p, 2) -equations

Applicable Analysis
Nikolaos S Papageorgiou   +2 more
exaly  

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