# Multiple sign-changing solutions for a semilinear Neumann problem and the topology of the configuration space of the domain boundary

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We study the shape of least-energy solutions to the quasilinear elliptic equation É›mÎ”mu âˆ’ umâˆ’1 + f(u) = 0 with homogeneous Neumann boundary condition as É› â†’ 0+ in a smooth bounded domain Î© âŠ‚

N. Firstly, we give a sharp upper bound for the energy of...