[PDF] Top 20 Existence of nontrivial solutions for a class of nonlocal Kirchhoff type problems

... the existence and multiplicity of weak solutions for problem (1) by using variational methods, for example, the nonlinear- ity f is asymptotically 3-linear at infinity (see [4, 6, 9]), the nonlinearity f is ... See full document

... energy solutions of problem ...the existence and the non-existence of nontrivial solution of problem ...the existence of infinitely many high energy solutions of problem ... See full document

... the existence of three weak solutions of ...the existence of nontrivial solutions for a class of fourth-order elliptic equations of Kirchhoff ... See full document

... implies that J has infinite critical points. If inf{J(u), u Î W 1,p (Ω)} < 0 then by Lemma 2.3, J has at least two nontrivial critical points. Hence problem (1.1) has at least two nontrivial ... See full document

... the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, this ... See full document

... variational problems involving p(x)-growth conditions is a consequence of their applications, for instance, the image restoration or the motion of the so called electrorheological fluids, characterized by their ... See full document

... where N ≥  is a fixed positive integer, a, b >  are real constants, Z[, N] denotes the dis- crete interval {, , . . . , N}. As usual, denotes the forward difference operator defined by u(k) = u(k + ) – u(k),  u(k) ... See full document

... the existence of positive solutions and infinitely many positive solutions of the problems by variational methods, respectively; Perera and Zhang 12 obtained one nontrivial ... See full document

... [7] Mao, A.M. and Zhang, Z.T. (2009) Sign-Changing and Multiple Solutions of Kir- chhoff Type Problems without the P.S. Condition. Nonlinear Analysis: Theory , Methods & Applications , 70, ... See full document

... the existence of the classical D’Alembert wave equations for free vibration of elastic ...that nonlocal problems also appear in other fields as biological systems, where u describes a process which ... See full document

... mathematical problems with variable exponent growth condition has been received considerable attention in recent ...These problems are interesting in applications and raise many difficult mathematical ... See full document

... optimization problems—one be- ing a maximization and the other a minimization problem—related to a nonlocal boundary value problem of Kirchho ff ...both problems are solvable, and derive the corre- ... See full document

... Kirchhoff type have been studied by many authors, especially after the work of Lions [], where a functional analysis framework for the problem was proposed; see, ...a nonlocal elliptic prob- lem has already ... See full document

... sign-changing solutions. As for in nitely many solutions, we refer readers to [8] ...the class of Kirchhoff type problem when g x u ( ) ; = λ f x u ( ) ; with some conditions and proved ... See full document

... the nonlocal term Mu p 1,p motivated, among other things, by the above physical ...extraction. Problems that involve these two terms, Mu p 1,p and Δ p u, present several difficulties such as ... See full document

... value problems (FBVP) by the use of techniques of nonlinear analysis; see [1–24] and the references ...value problems of fractional differential equation have particularly attracted a great deal of attention ... See full document

... and existence of local solutions for the boundary value problem of a quasilinear parabolic ...model problems in nonstationary radiative heat transfer and reaction-di ff usion equation with ... See full document

... the existence and uniqueness of mild and classical solutions of nonlocal Cauchy ...5],the nonlocal condition can be more useful than the standard initial condition to describe some physical ... See full document

... Abstract. We study the existence and uniqueness of positive solutions to a class of nonlocal boundary-value problems involving the p-Laplacian. Our main tools are a variant of the ... See full document

... the existence of at least four distinct solutions to an Kirchhoff type problems involving the critical Caffareli-Kohn-Niremberg ex- ponent, concave term and sign-changing weights, by ... See full document