TWO-PARAMETER NONLINEAR OSCILLATIONS: THE NEUMANN PROBLEM

A nonlinear general Neumann problem involving two critical exponents

We discuss the existence of solutions to the following nonlinear problem involving two critical Sobolev exponents  −div(p(x)∇u) = β|u|2−2u+ f(x, u) in Ω, u 6≡ 0 in Ω, ∂u ∂ν = Q(x)|u| 2∗−2u on ∂Ω, where β ≥ 0, Q is continuous on ∂Ω, p ∈ H(Ω) is continuous and positive in Ω̄ and f is a lower-order perturbation of |u|2−1 with f(x, 0) = 0.

Inhomogeneous Two-Parameter Abstract Cauchy Problem

Nonlinear Two-Phase Stefan Problem

In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.

nonlinear two-phase stefan problem

in this paper we consider a nonlinear two-phase stefan problem in one-dimensional space. the problem is mapped into a nonlinear volterra integral equation for the free boundary.

Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem