@Article{JPDE-4-77,
author = {Wang Chuanfang, Xue Ruying},
title = {Nontrivial Solutions for Some Semilinear Elliptic Equations with Critical Sobolev Exponents},
journal = {Journal of Partial Differential Equations},
year = {1991},
volume = {4},
number = {1},
pages = {77--96},
abstract = { Let Ω be a bounded domain in R^4(n ≥ 4) with smooth boundary ∂Ω. We discuss the existence of nontrivial solutions of the Dirichlet problem {- Δu = a(x) |u|^{4/(a-2)}u + λu + g(x, u), \quad x ∈ Ω u = 0, \quad x ∈ ∂Ω where a(x) is a smooth function which is nonnegative on \overline{Ω} and positive somewhere, λ> 0 and λ ∉ σ(-Δ). We weaken the conditions on a(x) that are generally assumed in other papers dealing with this problem.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5763.html}
}