نتایج جستجو برای: sign changing weight functions

تعداد نتایج: 1014244  

2016
Weiwei Ao Juncheng Wei Wei Yao

where 1 < p < N+2 N−2 , N ≥ 3. It is well-known that this equation has a unique positive radial solution. The existence of sign-changing radial solutions with exactly k nodes is also known. However the uniqueness of such solutions is open. In this paper, we show that such sign-changing radial solution is unique when p is close to N+2 N−2 . Moreover, those solutions are non-degenerate, i.e., the...

Journal: :International Journal of Theoretical Physics 2023

Abstract Even subgroups of affine Weyl groups corresponding to irreducible crystallographic root systems characterize families single-particle quantum systems. Induced by primary and secondary sign homomorphisms the groups, free propagations particle on refined dual weight lattices inside rescaled even alcoves are determined Hamiltonians tight-binding types. Described hopping functions, amplitu...

Journal: :Math. Comput. 2007
Alfredo Deaño Javier Segura

Three term recurrence relations yn+1+bnyn+anyn−1 = 0 can be used for computing recursively a great number of special functions. Depending on the asymptotic nature of the function to be computed, different recursion directions need to be considered: backward for minimal solutions and forward for dominant solutions. However, some solutions interchange their role for finite values of n with respec...

2017
JIANHUA CHEN XIANHUA TANG HUXIAO LUO

In this article, we prove the existence of multiple solutions for following fractional Schrödinger-Poisson system with sign-changing potential (−∆)u+ V (x)u+ λφu = f(x, u), x ∈ R, (−∆)φ = u, x ∈ R, where (−∆)α denotes the fractional Laplacian of order α ∈ (0, 1), and the potential V is allowed to be sign-changing. Under certain assumptions on f , we obtain infinitely many solutions for this sys...

1998
Junping Shi Junping Wang

We obtain precise global bifurcation diagrams for both one-sign and sign-changing solutions of a semilinear elliptic equation, for the nonlinearity being asymptotically linear. Our method combines the bifurcation approach and spectral analysis.

2013
Hans-Christoph Grunau Guido Sweers GUIDO SWEERS

It is known that the Dirichlet bilaplace boundary value problem, which is used as a model for a clamped plate, is not sign preserving on general domains. It is also known that the corresponding first eigenfunction may change sign. In this note we will show that even a constant right hand side may result in a sign-changing solution.

Journal: :Journal of Differential Equations 2023

We deal with a planar differential system of the form{u′=h(t,v),v′=−λa(t)g(u), where h is T-periodic in first variable and strictly increasing second variable, λ>0, sign-changing weight function g superlinear. Based on coincidence degree theory, dependence λ, we prove existence solutions (u,v) such that u(t)>0 for all t∈R. Our results generalize unify previous contributions about Butler's probl...

2000
Fred S. Roberts Paul Andrew Dreyer

OF THE DISSERTATION Applications and Variations of Domination in Graphs by Paul Andrew Dreyer, Jr. Dissertation Director: Fred S. Roberts In a graph G = (V, E), S ⊆ V is a dominating set of G if every vertex is either in S or joined by an edge to some vertex in S. Many different types of domination have been researched extensively. This dissertation explores some new variations and applications...

Journal: :Discrete Applied Mathematics 2015
Lara Turner Matthias Ehrgott Horst W. Hamacher

It is well known that the greedy algorithm solves matroid base problems for all linear cost functions and is, in fact, correct if and only if the underlying combinatorial structure of the problem is a matroid. Moreover, the algorithm can be applied to problems with sum, bottleneck, algebraic sum or k-sum objective functions. In this paper, we address matroid base problems with a more general – ...

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