𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the solutions of the -Laplacian problem at resonance

✍ Scribed by Nawel Benouhiba; Zahia Belyacine

Book ID
118043708
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
234 KB
Volume
77
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the existence of solutions of -Laplac
On the existence of solutions of -Laplacian -point boundary value problem at resonance
✍ Yanling Zhu; Kai Wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 433 KB

By using the theory of coincidence degree, we study a kind of solutions of p-Laplacian m-point boundary value problem at resonance in the following form where m β‰₯ 3, a i > 0 A result on the existence of solutions is obtained. The degrees of two variables x 1 , x 2 in the function f (t, x 1 , x 2 )

Resonance Problems for the p-Laplacian
Resonance Problems for the p-Laplacian
✍ Pavel DrΓ‘bek; Stephen B. Robinson πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 174 KB

We consider resonance problems at an arbitrary eigenvalue of the p-Laplacian, and prove the existence of weak solutions assuming a standard Landesman Lazer condition. We use variational arguments to characterize certain eigenvalues and then to establish the solvability of the given boundary value pr

Nontrivial solutions for a class of reso
Nontrivial solutions for a class of resonant -Laplacian Neumann problems
✍ Leszek GasiΕ„ski; Nikolaos S. Papageorgiou πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 451 KB

We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a Carathéodory reaction term. We assume that asymptotically at infinity resonance occurs with respect to the principal eigenvalue λ 0 = 0 (i.e., the reaction term is p -1sublinear near +∞). Using variational