Abstract
Consider resonance problems at an arbitrary eigenvalue of the elliptic equations ▵ p u = | u | p - 2 u - g 1 ( u ) + h 1 ( x ) , in Ω , | ∇ u | p - 2 ∂ u ∂ ν = λ | u | p - 2 u + g 2 ( u ) + h 2 ( x ) , on ∂ Ω . Some existence theorems are obtained under the Landesman–Lazer type conditions by using variational method.
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