Existence of a positive solution for a -Laplacian semipositone problem
نویسندگان
چکیده
منابع مشابه
EXISTENCE OF A POSITIVE SOLUTION FOR A p-LAPLACIAN SEMIPOSITONE PROBLEM
We consider the boundary value problem −∆pu = λ f (u) in Ω satisfying u = 0 on ∂Ω, where u= 0 on ∂Ω, λ > 0 is a parameter, Ω is a bounded domain in Rn with C2 boundary ∂Ω, and ∆pu := div(|∇u|p−2∇u) for p > 1. Here, f : [0,r] → R is a C1 nondecreasing function for some r > 0 satisfying f (0) < 0 (semipositone). We establish a range of λ for which the above problem has a positive solution when f ...
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In this paper, we study a class of boundary value problem involving the p-Laplacian oprator and singular nonlinearities. We analyze the existence a critical parameter $lambda^{ast}$ such that the problem has least one solution for $lambdain(0,lambda^{ast})$ and no solution for $lambda>lambda^{ast}.$ We find lower bounds of critical parameter $lambda^{ast}$. We use the method ...
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in this paper, we study a class of boundary value problem involving the p-laplacian oprator and singular nonlinearities. we analyze the existence a critical parameter $lambda^{ast}$ such that the problem has least one solution for $lambdain(0,lambda^{ast})$ and no solution for $lambda>lambda^{ast}.$ we find lower bounds of critical parameter $lambda^{ast}$. we use the method ...
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2005
ISSN: 1687-2770
DOI: 10.1155/bvp.2005.323