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We consider a semilinear elliptic problem, driven by the Laplacian with Robin boundary condition. We consider a reaction term which is resonant at±  ∞{\pm\infty}    and at 0. Using variational methods and critical groups, we show that under resonance conditions at±  ∞{\pm\infty}    and at zero the problem has at least two nontrivial smooth solutions.

Semilinear Robin problems resonant at both zero and infinity