THE ANTIMAXIMUM PRINCIPLE AND THE EXISTENCE OF A SOLUTION FOR THE GENERALIZED p–LAPLACE EQUATIONS WITH INDEFINITE WEIGHT
نویسنده
چکیده
This paper treats the antimaximum principle and the existence of a solution for quasilinear elliptic equation −div (a(x, |∇u|)∇u) = λm(x)|u|p−2u+ h(x) in Ω under the Neumann boundary condition. Here, a map a(x, |y|)y on Ω×RN is strictly monotone in the second variable and satisfies certain regularity conditions. This equation contains the p -Laplacian problem as a special case. Mathematics subject classification (2010): 35J62, 35P30, 58E05.
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تاریخ انتشار 2012