On multiple solutions of a nonlinear dirichlet problem

✍ Scribed by Alfonso Castro; Jorge Cossio; John M. Neuberger

• Book ID: 104331012
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 361 KB
• Volume: 30
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(96)00240-4

✦ Synopsis

We prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonradial.