Existence Results for an Elliptic Equation of Kirchhoff-Type with Changing Sign Data
نویسندگان
چکیده
منابع مشابه
EXISTENCE OF MULTIPLE NONTRIVIAL SOLUTIONS FOR A p-KIRCHHOFF TYPE ELLIPTIC PROBLEM INVOLVING SIGN-CHANGING WEIGHT FUNCTIONS
This paper deals with a p-Kirchhoff type problem involving signchanging weight functions. It is shown that under certain conditions, by means of variational methods, the existence of multiple nontrivial nonnegative solutions for the problem with the subcritical exponent are obtained. Moreover, in the case of critical exponent, we establish the existence of the solutions and prove that the ellip...
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Questions on the existence of positive solutions for the following class of elliptic problems are studied: − M ‖u‖p1,p 1,p Δpu f x, u , in Ω, u 0, on ∂Ω, where Ω ⊂ R is a bounded smooth domain, f : Ω ×R → R and M : R → R, R 0,∞ are given functions. Copyright q 2008 F. J. S. A. Corrêa and R. G. Nascimento. This is an open access article distributed under the Creative Commons Attribution License,...
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After the excellent work of Lions [2], problem (2) has received more attention; see [3–10] and references therein. The p(x)-Laplace operator arises from various phenomena, for instance, the image restoration [11], the electro-rheological fluids [12], and the thermoconvective flows of nonNewtonian fluids [13, 14].The study of thep(x)-Laplace operator is based on the theory of the generalized Leb...
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ژورنال
عنوان ژورنال: Funkcialaj Ekvacioj
سال: 2012
ISSN: 0532-8721
DOI: 10.1619/fesi.55.55