[PDF] Top 20 Sign-changing solutions for some nonlinear problems with strong resonance

... give some preliminaries, which are fundamental for this ...give some abstract critical point theorems, which are used to prove above theorems in this ...of sign-changing ... See full document

... the nonlinear term f satisfies superlinear and subcritical growth conditions at zero and at ...a sign-changing solution by combing minimax method with invariant sets of descending ... See full document

... NLS problems with vanishing potentials were treated for in- stance by Bonheure et ...positive solutions around global minimum points of an auxiliary function and even around some lower dimensional ... See full document

... of nonlinear boundary value problems in a general Banach ...the problems are called semipositone problems, which occur in chemical rector theory, combustion and management of natural ... See full document

... where g : [a, b] × R + → R is continuous, bounded from below (i.e., g(t, z) + M > 0 for some M > 0) and lim z→∞ f (t,z) z = ∞ uniformly for t ∈ [α, β] ⊂ (a, b). Later, Bai and Xu [4] dis- cussed its discrete ... See full document

... change sign. In addition, the nonlocal integral boundary value problems also represent a very interesting and important class of problems arising in physical, biological and chemical processes and ... See full document

... chaotic solutions; see 3 for ...between solutions to continuous systems and the corresponding discrete systems by employing discrete variable methods ...and nonlinear operator theory, such as fixed ... See full document

... Nontrivial solutions of m-point boundary value problems for singular second-order differential equations with a sign-changing nonlinear ...Positive solutions of a nonlinear ... See full document

... of sign-changing solutions, positive solutions, and negative solutions for BVP ...apply some basic theorems in topological degree theory and fixed point index theory to establish ... See full document

... semiconductor problems [], hydrodynamic problems ...value problems, we refer to the book of Corduneanu [], Agarwal and O’Regan ...positive solutions for the cases in which the ... See full document

... tor. In the last few years, the research of nonlocal operators has appeared in various areas such as phase transitions, chemical reaction in liquids, optimization and finance, popula- tion dynamics, crystal dislocation, ... See full document

... of nonlinear elliptic problems under Neumann conditions involving the ...nontrivial solutions, which means that we get two extremal constant-sign solutions and one ... See full document

... In [10], J. Xu and D. O’Regan used the fixed point index to obtain the existence of nontrivial solutions for (1.2) with weaker conditions than that of (1.3), and also in [11], J. Xu et al. considered the existence ... See full document

... positive solutions of discrete boundary value problems have received much attention from many authors and a great deal of work has been done by using classical methods such as fixed point theory [–], lower ... See full document

... periodic solutions for a class of damped vibration problems, where nonlinearities are superlinear at infinity and primitive functions of nonlinearities are allowed to be ...using some weaker ... See full document

... positive solutions of boundary value problems for difference equations have been widely ...positive solutions for discrete boundary value problems with sign-changing ... See full document

... give some lemmas which help to simplify the proofs of our main ...of sign-changing solutions for nth-order right focal boundary value problems ... See full document

... [4] some existence results for (1) with jumping nonlinearities as well as (1) with a repulsive or attractive singularity, and the authors in [3] obtained the multiplicity results to (1) when f ( t , u ) has a ... See full document

... where F(x, u) :=  u f (x, s) ds. After that, in [], the authors studied (.) without the (AR) condition by the variant fountain theorem established by Zou [, Theorem .]. Later, Li and Chen in [] also obtained ... See full document

... R  0,0 , the weight m(x) is a positive bounded function and f x g x     ,  C    are smooth functions which may change sign in Ω. By Nehari mani- fold, fibering method and analytic techniques, the exis- ... See full document