𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multiple solutions of semilinear degenerate elliptic boundary value problems II

✍ Scribed by Kazuaki Taira

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
141 KB
Volume
aop
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Dedicated to Professor Izumi Kubo on the occasion of his 70th birthday

The purpose of this paper is to study a class of semilinear degenerate elliptic boundary value problems depending on a parameter which include as particular cases the Dirichlet problem and the Robin problem. By using Schauder's fixed point theorem and the Leray-Schauder degree, we derive lower bounds on the number of solutions of our problem. The results here extend earlier theorems due to Kazdan-Warner and also Amann-Hess to the degenerate case.

πŸ“œ SIMILAR VOLUMES

Multiple solutions of semilinear degener
Multiple solutions of semilinear degenerate elliptic boundary value problems II
✍ Kazuaki Taira πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 130 KB

## Abstract The purpose of this paper is to study a class of semilinear __degenerate__ elliptic boundary value problems depending on a parameter which include as particular cases the Dirichlet problem and the Robin problem. By using Schauder's fixed point theorem and the Leray–Schauder degree, we d

Multiple solutions of semilinear degener
Multiple solutions of semilinear degenerate elliptic boundary value problems
✍ Kazuaki Taira πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 177 KB πŸ‘ 1 views

## Dedicated to Professor Kyuya Masuda on the occasion of his 70th birthday The purpose of this paper is to study a class of semilinear elliptic boundary value problems with degenerate boundary conditions which include as particular cases the Dirichlet problem and the Robin problem. The approach h

Finite energy solutions of self-adjoint
Finite energy solutions of self-adjoint elliptic mixed boundary value problems
✍ Giles Auchmuty πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 262 KB

## Alber This paper describes existence, uniqueness and special eigenfunction representations of H 1 -solutions of second order, self-adjoint, elliptic equations with both interior and boundary source terms. The equations are posed on bounded regions with Dirichlet conditions on part of the bounda

Multiple solutions of boundary-value pro
Multiple solutions of boundary-value problems for impulsive differential equations
✍ Weibing Wang; Xuxin Yang πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 149 KB πŸ‘ 1 views

In this paper, we investigate the existence of multiple solutions to a second-order Dirichlet boundary-value problem with impulsive effects. The proof is based on critical point theorems.