Abstract. In this paper we study the existence of non-trivial weak solutions of the Neumann problem for quasilinear elliptic equations in the formThe proof of main results rely essentially on the arguments of variational method.
Abstract. The goal of this paper is to study the existence of non-trivial non-negative weak solution for the nonlinear elliptic equation:with Dirichlet boundary condition in a bounded domain Ω ⊂ R N , N ≥ 3, where h(x) ∈ L 1 loc (Ω), f (x, s) has asymptotically linear behavior. The solutions will be obtained in a subspace of the space H 1 0 (Ω) and the proofs rely essentially on a variation of the mountain pass theorem in [12].
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