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An existence result is obtained for infinite subharmonic solutions of nonautonomous second-order sublinear differential inclusions systems with p-Laplacian by the minimax methods in the critical point theory.
Consider resonance problems at an arbitrary eigenvalue of the elliptic equations▵pu=|u|p-2u-g1(u)+h1(x),inΩ,|∇u|p-2∂u∂ν=λ|u|p-2u+g2(u)+h2(x),on∂Ω.Some existence theorems are obtained under the Landesman–Lazer type conditions by using variational method.
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