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Singular elliptic problems : bifurcation and asymptotic analysis
II BLOW-UP SOLUTIONS 2. Blow-up solutions for semilinear elliptic equations 3. Entire solutions blowing-up at infinity for elliptic systems III ELLIPTIC PROBLEMS WITH SINGULAR NONLINEARITIES 4.
Multi-parameter bifurcation and asymptotics for the singular Lane–Emden–Fowler equation with a convection term
We establish some bifurcation results for the boundary-value problem −Δu = g (u) + λ|∇u|p + μf (x, u) in Ω, u > 0 in Ω, u = 0 on δΩ, where Ω is a smooth bounded domain in RN, λ, μ ≥ 0, 0 < p ≤ 2, f
Explosive solutions of semilinear elliptic systems with gradient term.
We study the existence of boundary blow-up solutions to the nonlinear elliptic system �u + |∇u| = p(|x|)f(v), �v + |∇v| = q(|x|)g(u) in . Here is either a bounded domain in R N or it denotes the
Singular elliptic problems with lack of compactness
We consider the following nonlinear singular elliptic equation $$-\mbox{div}\,(|x|^{-2a}\nabla u)=K(x)|x|^{-bp}|u|^{p-2}u+\lambda{g}(x)\quad\mbox{in}\,\,\mathbb{R}^N,$$ where g belongs to an