Oscillation criteria for damped quasilinear second-order elliptic equations

Abstract

In 2010, Yoshida [13] stated that oscillation criteria for the superlinear-sublinear elliptic equation equation $$ abla cdot ig(A(x)Phi(abla v)ig) + (alpha+1)B(x)cdotPhi(abla v) + C(x) phi_eta(v) + D(x) phi_gamma (v)=f(x) $$ were not known. In this article, we provide some answers to this question using boundedness conditions on the coefficients of half-linear quasilinear elliptic equations. This is obtained by using some comparison methods and Picone-type formulas.

Keywords

• Picone
• oscillation criteria for half-linear elliptic equations