Abstract
This paper is devoted to the study of multiplicity results for indefinite semilinear elliptic equations of the form (P{sub {lambda}}) {l_brace} -{triangle}u - {lambda}u = {alpha}(x)h(u)/u = 0 in {Omega} on {partial_derivative}{Omega}. Here {Omega} {contained_in} R{sup n} is a bounded smooth domain, {lambda} a nonnegative parameter, and {alpha} {epsilon} c({Omega}) changes sign in {Omega}. Concerning h, the nonlinearity, a precise power-like growth at infinity is assumed. The indefinite character of the problem is due to the changing sign of {alpha} in {Omega}. Recently there has been a number of papers devoted to the study of indefinite semilinear problems such as this.
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