[PDF] Top 20 Infinitely many solutions for a class of fourth-order partially sublinear elliptic problem

... nontrivial solutions to problem () under suitable assumptions of g(x, u) by a variant version of the mountain pass ...multiple solutions for problem () by us- ing the variant fountain ... See full document

... of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic oper- ator with nonhomogeneous Neumann boundary ... See full document

... in order to guarantee at least one nontrivial solution, as well as infinitely many radially symmetric solutions, for an abstract class of hemivariational ...abstract class ... See full document

... Homoclinic solutions of dynamical systems are very important in applications for a lot of ...homoclinic solutions for system (.) have been extensively investigated by many authors; see [, , –, ... See full document

... that problem (1.1) has infinitely many weak ...unbounded solutions) or at zero (for finding arbitrarily small solutions), while G, the primitive of g, has an appropriate growth (see ... See full document

... The main goal here is to establish multiplicity of results for (.), when f (x, s) is odd and A(x, s) is even in s. Such solutions for (.) will follow from a version of the symmetric mountain pass theorem due ... See full document

... Precisely, under appropriate hypotheses on the behavior of the nonlinear term F at infinity, the existence of an interval Λ such that, for each l Î Λ , the system (1) admits a sequence of pairwise distinct weak ... See full document

... Jiang, Q, Tang, C: Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems. Wang, Z, Zhang, J: Periodic solutions of a class of second order non-au[r] ... See full document

... a class of nonlinear elliptic equation with Neumann boundary condition, and obtain infinitely many nodal ...a problem is based on the variational methods and critical point ... See full document

... wide class of nonlinear differential problems to investigate infinitely many ...to infinitely many solutions for the Sturm- Liouville ... See full document

... of fourth-order two-point boundary value problems in de- scribing a large class of elastic deflection, there is a wide literature that deals with the existence and multiplicity results for such a ... See full document

... This fourth-order semilinear elliptic problem can be considered as an analogue of a class of second-order problems which have been studied by many ...two solutions ... See full document

... this, many authors have studied the existence of at least one solution, or multiple solutions, or even infinitely many solu- tions for fourth-order boundary value problems using ... See full document

... The assumed conditions and known results of the theory of monotone operators allow us to prove existence of generalized solutions of the Dirichlet problem associated to our operator (see, e.g., [1]), ... See full document

... multiplicity solutions for a class of sublinear fourth-order elliptic equation of Kirchhoff type by using the genus properties in critical ... See full document

... This fourth-order semilinear elliptic problem can be considered as an analogue of a class of second-order problems which have been studied by many ...two solutions ... See full document

... third order operator-differential equations with operator boundary conditions have been widely studied both on a finite interval and on the half-axis (see, ...for fourth order operator-differential ... See full document

... value problem subject to perturbations of impulsive ...the problem is based on the variational methods and critical point ...Infinitely many solutions follow from a recent variational ... See full document

... where > , N ≥ , and f , and V satisfy some certain assumptions. Under a weak version of the Ambrosetti-Rabinowitz condition, by means of variational methods, a family of solutions was proved to exist and to ... See full document

... [18]. Many authors study the exis- tence of multiple nontrivial solutions for some fourth order problems [18, ...the fourth-order equation and the variable exponent equation goes ... See full document