Entire radial bounded solutions for Leray-Lions equations of (p, q)-type

Abstract

We prove the existence of entire, radial, and signed bounded solutions for a quasilinear elliptic equation in RN{{\mathbb{R}}}^{N} driven by a Leray-Lions operator of the (p, q)-type. For this, we need an extension of related results by Boccardo-Murat-Puel and a variational approach in intersections of Banach spaces introduced by Candela-Palmieri.

Keywords

• (p, q)-laplacian
• quasilinear elliptic equation
• radial bounded solution
• weak cerami-palais-smale condition
• 35j20
• 35j62
• 58e30