Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Semilinear elliptic problems with nonlinearities depending on the derivative

David ArcoyaNaira del Toro — 2003

Commentationes Mathematicae Universitatis Carolinae

We deal with the boundary value problem - Δ u ( x ) = λ 1 u ( x ) + g ( u ( x ) ) + h ( x ) , x Ω u ( x ) = 0 , x Ω where Ω N is an smooth bounded domain, λ 1 is the first eigenvalue of the Laplace operator with homogeneous Dirichlet boundary conditions on Ω , h L max { 2 , N / 2 } ( Ω ) and g : N is bounded and continuous. Bifurcation theory is used as the right framework to show the existence of solution provided that g satisfies certain conditions on the origin and at infinity.

Page 1

Download Results (CSV)