The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying 281 – 300 of 601

Showing per page

Multiple solutions to a perturbed Neumann problem

Giuseppe Cordaro (2007)

Studia Mathematica

We consider the perturbed Neumann problem ⎧ -Δu + α(x)u = α(x)f(u) + λg(x,u) a.e. in Ω, ⎨ ⎩ ∂u/∂ν = 0 on ∂Ω, where Ω is an open bounded set in N with boundary of class C², α L ( Ω ) with e s s i n f Ω α > 0 , f: ℝ → ℝ is a continuous function and g: Ω × ℝ → ℝ, besides being a Carathéodory function, is such that, for some p > N, s u p | s | t | g ( , s ) | L p ( Ω ) and g ( , t ) L ( Ω ) for all t ∈ ℝ. In this setting, supposing only that the set of global minima of the function 1 / 2 ξ ² - 0 ξ f ( t ) d t has M ≥ 2 bounded connected components, we prove that, for all λ ∈ ℝ small enough, the above...

Currently displaying 281 – 300 of 601