Non-local Gel'fand problem in higher dimensions

• Autorzy: Tosiya Miyasita , Takashi Suzuki
• Języki publikacji: EN

Abstrakty

EN

The non-local Gel'fand problem, $Δv + λe^v/∫_{Ω} e^vdx = 0$ with Dirichlet boundary condition, is studied on an n-dimensional bounded domain Ω. If it is star-shaped, then we have an upper bound of λ for the existence of the solution. We also have infinitely many bendings in λ of the connected component of the solution set in λ,v if Ω is a ball and 3 ≤ n ≤ 9.

Kategorie tematyczne

• 35J20: Variational methods for second-order elliptic equations
• 35J60: Nonlinear elliptic equations
• 35P30: Nonlinear eigenvalue problems, nonlinear spectral theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 66
• Numer: 1
• Strony: 221-235

Daty

wydano

2004

Twórcy

autor

Tosiya Miyasita

• Division of Mathematical Science, Graduate School of Engineering Science, Osaka University, Osaka 650-8531, Japan

autor

Takashi Suzuki

• Division of Mathematical Science, Graduate School of Engineering Science, Osaka University, Osaka 650-8531, Japan

Identyfikatory

DOI

10.4064/bc66-0-15