Remarks on the resonant elliptic problem

✍ Scribed by Mei-Yue Jiang

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 168 KB
• Volume: 53
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(03)00055-5

✦ Synopsis

We consider the semilinear elliptic equation -u = f(x; u) with the Dirichlet boundary value for resonant nonlinearity at inÿnity. Using the Morse theory and perturbation method, some existence results of solution and multiple solutions are proved.