We study existence and nonexistence of least energy solutions of a quasilinear critical growth equation with degenerate m-Laplace operator in a bounded domain in R-n with n > m > 1. Existence and nonexistence of solutions of this problem depend on a lower order perturbation and on the space dimension n. Our proofs are obtained with critical point theory and the lack of compactness, due to critical growth condition, is overcome by constructing minimax levels in a suitable compactness range
Ferrero, A. (2006). Least energy solutions for critical growth equations with a lower order perturbation. ADVANCES IN DIFFERENTIAL EQUATIONS, 11(10), 1167-1200.
Least energy solutions for critical growth equations with a lower order perturbation
Ferrero, A
2006
Abstract
We study existence and nonexistence of least energy solutions of a quasilinear critical growth equation with degenerate m-Laplace operator in a bounded domain in R-n with n > m > 1. Existence and nonexistence of solutions of this problem depend on a lower order perturbation and on the space dimension n. Our proofs are obtained with critical point theory and the lack of compactness, due to critical growth condition, is overcome by constructing minimax levels in a suitable compactness rangeI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.