A note on the nonuniqueness for some quasilinear eigenvalue problem Original Research Article

Let 1 < p < N and View the MathML source. We prove that there exists View the MathML source such that the extremal for the optimal constant View the MathML source of the embedding View the MathML source is not a radial function (and hence, not unique). As a consequence of this fact, we obtain a nonuniqueness result for View the MathML source