Existence and Asymptotic Behavior of Positive Solutions to -Laplacian Equations with Singular Nonlinearities
نویسندگان
چکیده
منابع مشابه
Research Article Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities
The study of differential equations and variational problems with nonstandard p(x)growth conditions is a new and interesting topic. We refer to [1, 2], the background of these problems. Many results have been obtained on this kind of problems, for example, [2–13]. In [4, 7], Fan and Zhao give the regularity of weak solutions for differential equations with nonstandard p(x)-growth conditions. On...
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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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and Applied Analysis 3 we refer to 20–22 , but the results on the boundary blow-up solutions for p x -Laplacian equations are rare see 16 . In 16 , the present author discussed the existence and asymptotic behavior of boundary blow-up solutions for the following p x -Laplacian equations: −Δp x u f x, u 0, in Ω, u x −→ ∞, as d x, ∂Ω −→ 0, 1.8 on the condition that f x, · satisfies polynomial gro...
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In this paper we consider positive solutions of second order quasilinear ordinary differential equations with singular nonlinearities. We obtain the asymptotic equivalence theorems for asymptotically superlinear solutions and decaying solutions. By using these theorems, exact asymptotic forms of such solutions are determined. Furthermore, we can establish the uniqueness of decaying solutions as...
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Positive solutions are obtained for the boundary value problem
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2007
ISSN: 1029-242X
DOI: 10.1155/2007/19349