[PDF] Top 20 Multiplicity of positive solutions for two coupled nonlinear Schrödinger equations

... number of atoms in the hyperfine state |ji, and U ij = 4π 2m ~ 2 a ij , where a jj ’s and a 12 are the intraspecies and interspecies scattering ...potential for the j-th species and is a periodic function ... See full document

... Existence and multiplicity of positive solutions for a class of nonlinear boundary value problems.. Tsung-fang Wu 1.[r] ... See full document

... Hirano, Existence of entire positive solutions for nonhomogeneous elliptic equations, Nonlinear Analysis:TMA 29 (1997) 889–901.. [15] L.[r] ... See full document

... decomposition of the filtration of the Nehari manifold via the variation of domain ...elliptic equations in an m-bump domain have at least m + 1 positive ... See full document

... least two positive ...shape of the domain Ω to prove that equation (4) in Ω has a ground state ...proof of Adachi- Tanaka [2], Tarantello [21], Cao-Zhu [10] and Zhu [25] to prove that equation ... See full document

... homogeneous of the same degree q − 1 and so the problem E f λ ,g µ
is similar to the Ambrosetti, Brezis and Cerami problem [2] (a semilinear elliptic equation involving concave and convex ...existence of ... See full document

... uniqueness of inflection point of cubic polynomial fε ( u ) at γ ε = σ /( 3 ε ) is trivial and the proof of the uniqueness of positive zero of fε ( u ) at some β ε > γ ε is given ... See full document

... Department of Applied Mathematics National University of Kaohsiung, Kaohsiung 811, Taiwan ...decomposition of the Nehari manifold by exploiting the combination of concave and convex ...and ... See full document

... elliptic equations with concave and convex nonlinearities are widely studied; we refer the reader to Ambrosetti-Brezis-Cerami [3], Ambrosetti- Azorezo-Peral [2], Bartsch-Willem [6], de Figueiredo-Gossez-Ubilla ... See full document

... The pictures show the existence of two branches of solutions representing the two positive solutions with the upper and lower branch corresponding to u − λ,M and u + λ,M respectively. Th[r] ... See full document

... method for the computation of positive bound states of time-independent, m-coupled nonlinear algebra equation (DNLS) which describe a m-coupled nonlinear ... See full document

... domain of R 3 . The constants ε, λ, μ and β influence the behavior of the ground state ...height of the ground state solutions is influenced by ...breadth of the ground state ... See full document

... crucial for the existence of ground state solutions. For m = 3, when all the β ij ’s are positive, there exists a ground state solution, which is radially ...motivations of this ... See full document

... properties of the primal stalk solution curve correspond- ing to the 3-coupled ...computational positive bound states and bifurcation diagrams of the 3-coupled DNLSEs, including ... See full document

... construction of topological horseshoes to study the pattern of the soliton solutions to the discrete nonlinear Schr¨ odinger (DNLS) equations in a two-dimensional ... See full document

... tool for solving dif- ferential equations to obtain multiform solutions and allow bifurca- tion ...type of time-independent m-coupled nonlinear Schr¨ odinger (NLS) ... See full document

... Due to Feshbach resonance, the system can be transformed into a singular perturbed problem with a positive parameter ε. As the parameter ε is sufficiently small, we prove how the mult[r] ... See full document

... Conventionally, solutions of one-component self-focusing nonlinear Schr¨odinger equations may blow up at finite time ...the positive sign of µ j ’s, the system (1.1) is ... See full document

... 19] , Existence of positive non-radial solutions for nonlinear elliptic equations in annular domains,. Trans[r] ... See full document

... 19] , Existence of positive non-radial solutions for nonlinear elliptic equations in annular domains,. Trans[r] ... See full document