A note on the stability of solutions to quasilinear elliptic equations
Jagmohan Tyagi · Advances in Calculus of Variations · 2012
Abstract. In this note, we prove a stability theorem for a class of quasilinear elliptic equations where , , is an open, smooth and bounded subset. We show that if u is an unstable solution of the above problem, then u vanishes at some point of . In this work, a and f may change sign.