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- Francesca Faraci
- 2003

Abstract In this paper, we establish some multiplicity results for the following Neumann problem: − div |∇u| p−2 ∇u +λ(x)|u| p−2 u=α(x)f(u) in Ω, ∂u/∂ν=0 on ∂Ω. The multiple solutions are obtained by… (More)

In the present paper we establish the existence of three positive weak solutions for a quasilinear elliptic problem involving a singular term of the type $${u^{-\gamma}}$$u-γ. As far as we know this… (More)

We study solutions of the nonlinear Hammer- stein integral equation with changing-sign kernels by using a variational principle of Ricceri and critical points theory tech- niques. Combining the… (More)

Summary.In this paper we study a boundary value problem for difference equations in a variational framework. We establish the existence of at least three solutions for a perturbed problem using a… (More)

We give a survey of old and recent results concerning existence and multiplicity of positive solutions (classical or weak) to nonlinear elliptic equations with singular nonlinear terms of the form… (More)

Answering a question raised by Y.X. Huang, we prove what follows: if $$\Omega $$Ω is a bounded smooth domain and $$p>1$$p>1, then the mapping $$q\mapsto \lambda _q|\Omega |^\frac{p}{q}$$q↦λq|Ω|pq is… (More)

In this note we study a class of generalized Nash equilibrium problems and characterize the solutions which have the property that all players share the same Lagrange multipliers. Nash equilibria of… (More)

In the present paper we prove a multiplicity theorem for a quasi-linear elliptic problem with dependence on the gradient ensuring the existence of a positive solution and of a negative solution. In… (More)

In this paper we extend a multiplicity result of Ricceri to locally Lipschitz functionals and prove the existence of multiple solutions for a class of hemivariational inequalities.