We study a nonlinear critical second-order PDE with zero Dirichlet boundary condition. We prove existence and compactness results for the equation by using Bahri's method of critical points at infinity.
Nonlinear elliptic PDE, calculus of variation, critical points at infinity
"On an elliptic boundary value problem with critical exponent,"
Turkish Journal of Mathematics: Vol. 43:
3, Article 23.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss3/23