Three Solutions to Dirichlet Boundary Value Problems for -Laplacian Difference Equations
By Liqun Jiang, Zhan Fang Zhou. 2007
101 citations recorded by the source corpus.
We deal with Dirichlet boundary value problems for -Laplacian difference equations depending on a parameter . Under some assumptions, we verify the existence of at least three solutions when lies in two exactly determined open intervals respectively. Moreover, the norms of these solutions are uniformly bounded in respect to belonging to one of the two open intervals.
Subfields: Applied Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/82b3248550f8ecbb047011a9d2ab393f560ad492
How researchers see this paper
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In Applied Mathematics
- Pasquale Candito
- Gabriele Bonanno
- Giuseppina D'Aguì
- Stepan A. Tersian
- Antonio Iannizzotto
- Alberto Cabada
- Diego Averna
- Antonia Chinnì
In Numerical Analysis
- Gabriele Bonanno
- Antonio Iannizzotto
- Alberto Cabada
- Giuseppina D'Aguì
- Pasquale Candito
- Stepan A. Tersian
Citations in the corpus
- Variational Methods on Finite Dimensional Banach Spaces and Discrete Problems (2014, background): “We have the following result, see for instance [21].”
- Multiple homoclinic solutions for the discrete p-Laplacian via critical point theory (2013, methodology): “employed by Agarwal, Perera and O’Regan [3] and then successfully applied by several authors: wemention here the works of Cabada, Iannizzotto and Tersian [7], Cai and Yu [9], Candito and Giovannelli [10], Faraci and Iannizzotto [14], Jiang and Zhou [15], Mihăilescu, Rădulescu and Tersian [20] (for t”
- Multiple solutions for discrete boundary value problems (2009, methodology): “In the present paper, we extend Ricceri’s abstract result (see Theorem 3 below) and its application (see Theorem 6 below) to the case of the p–Laplacian, for any p > 1, and provide some new information about the intrinsic properties of the function space involved: namely, we establish the precise em”