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On a class of semilinear elliptic equations with boundary conditions and potentials which change sign

On a class of semilinear elliptic equations with boundary conditions and potentials which change sign

We study the existence of nontrivial solutions for the problem Δ u = u , in a bounded smooth domain Ω ⊂ ℝ ℕ , with a semilinear boundary condition given by ∂ u / ∂ ν = λ u − W ( x ) g ( u ), on …