Asymptotics for quasilinear elliptic non-positone problems

• Autorzy: Zuodong Yang , Qishao Lu
• Języki publikacji: EN

Abstrakty

EN

In the recent years, many results have been established on positive solutions for boundary value problems of the form
$-div(|∇u(x)|^{p-2} ∇u(x)) = λf(u(x))$ in Ω,
u(x)=0 on ∂Ω,
where λ > 0, Ω is a bounded smooth domain and f(s) ≥ 0 for s ≥ 0. In this paper, a priori estimates of positive radial solutions are presented when N > p > 1, Ω is an N-ball or an annulus and f ∈ C¹(0,∞) ∪ C⁰([0,∞)) with f(0) < 0 (non-positone).

Kategorie tematyczne

• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 35J25: Boundary value problems for second-order elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 79
• Numer: 1
• Strony: 85-95

Daty

wydano

2002

Twórcy

autor

Zuodong Yang

• College of Science, Beijing University of Aeronautics and Astronautics, Beijing, China, 100083

autor

Qishao Lu

• College of Science, Beijing University of Aeronautics and Astronautics, Beijing, China, 100083

Identyfikatory

DOI

10.4064/ap79-1-7