An existence result for (p, q)-Laplace equations involving sandwich-type and critical growth. (January 2021)

• Record Type: Journal Article
• Authors: Ho, Ky; Sim, Inbo
• Is Part Of: Applied mathematics letters. Volume 111(2020)
• Publication Date: 2021-01
• Subjects: (p, q)-Laplacian -- Critical growth -- Concentration–compactness principle -- Variational method; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106646
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: We investigate the existence of a nontrivial nonnegative solution to ( p, q ) -Laplace equations involving two nonlinear terms, one grows as s with q < s < p and the other possibly has critical growth. This interesting case cannot be appeared in single m -Laplace equations and has not been studied under even the subcritical growth. Our argument is based on the concentration–compactness principle by P.L. Lions and the Ekeland variational principle.