Concentrating solutions for a planar elliptic problem with large nonlinear exponent and Robin boundary condition

Abstract

Let Ω ⊂ ℝ2 be a bounded domain with smooth boundary and b(x) > 0 a smooth function defined on ∂Ω. We study the following Robin boundary value problem:

Keywords

• concentrating solutions
• large exponent
• robin boundary condition
• finite-dimensional reduction
• primary 35j25
• secondary 35b25
• 35b38