Multiplicity of solutions for a fractional p-Kirchhoff type problem with sign-changing weights function
نویسندگان
چکیده
منابع مشابه
Existence and multiplicity of solutions for a class of fractional Kirchhoff-type problem∗
In this paper, we establish the existence and multiplicity of solutions to the following fractional Kirchhoff-type problem M(∥u∥)(−∆)u = f(x, u(x)), in Ω u = 0 in R\Ω, where N > 2s with s ∈ (0, 1), Ω is an open bounded subset of R with Lipschitz boundary, M and f are two continuous functions, and (−∆) is a fractional Laplace operator. Our main tools are based on critical point theorems and the ...
متن کاملMultiple Sign-changing Solutions for Kirchhoff Type Problems
This article concerns the existence of sign-changing solutions to nonlocal Kirchhoff type problems of the form
متن کاملEXISTENCE 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...
متن کاملSolutions for a nonlinear fractional boundary value problem with sign-changing Green’s function
This paper considers the existence, uniqueness and non-existence of solution for a quasi-linear fractional boundary value problems with sign-changing Green’s function. Under certain growth conditions on the nonlinear term, we employ the Leray-Schauder alternative fixed point theorem to obtain an existence result of nontrivial solution and use the Banach contraction mapping principle to obtain a...
متن کاملMultiplicity of Positive Solutions of laplacian systems with sign-changing weight functions
In this paper, we study the multiplicity of positive solutions for the Laplacian systems with sign-changing weight functions. Using the decomposition of the Nehari manifold, we prove that an elliptic system has at least two positive solutions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Equations & Applications
سال: 2020
ISSN: 1847-120X
DOI: 10.7153/dea-2020-12-09