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Multiple solutions for some quasilinear Neumann problems in exterior domains

  • Tsing-San Hsu (a1)

Abstract

In this paper, we show that if $K(x)$ satisfies suitable conditions, then the quasilinear Neumann problem $-\Delta_pu+|u|^{p-2}u=K(x)|u|^{q-2}u$ in an exterior domain $\varOmega$ has at least two solutions, of which one is a positive ground-state solution and one is a nodal solution.

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Multiple solutions for some quasilinear Neumann problems in exterior domains

  • Tsing-San Hsu (a1)

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