Multiplicity of positive solutions for Kirchhoff type problem involving critical exponent and sign-changing weight functions
نویسندگان
چکیده
منابع مشابه
Multiplicity 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.
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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 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 کاملMultiplicity of positive solutions for fractional elliptic systems involving sign-changing weight
In this paper, we study the multiplicity results of positive solutions for a fractional elliptic system involving both concave-convex and critical growth terms. With the help of Morse theory and the Ljusternik-Schnirelmann category, we investigate how the coefficient h(x) of the critical nonlinearity affects the number of positive solutions of that problem and we get some results as regards the...
متن کاملMultiplicity of positive solutions for critical singular elliptic systems with sign - changing weight function ∗
In this paper, the existence and multiplicity of positive solutions for a critical singular elliptic system with concave and convex nonlinearity and sign-changing weight function, are established. With the help of the Nehari manifold, we prove that the system has at least two positive solutions via variational methods.
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ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2014
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2014-19