Results 11 to 20 of about 3,534,316 (293)
On the Fučík spectrum with indefinite weights [PDF]
Differential and Integral Equations, 2001 If \(p,q,m\in C[T_1,T_2]\) are real-valued with \(p>0\), \(q\geq 0\), \(m,n\not\equiv 0\) on \([T_1,T_2]\) and \(Ly=-(pu')'+qu\), \(u(T_1)=u(T_2)=0\), then the Fučik spectrum \(\Sigma \) is defined as the set of all pairs \((a,b)\in \mathbb R\times \mathbb R\) such that there is \(u\not\equiv 0\) with \(Lu=amu^+-bmu^-.\) In the case \(m=n ...
Mohssine Alif, Jean–Pierre Gossez
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On indefinite modular forms of weight one [PDF]
Journal of the Mathematical Society of Japan, 1986 Let us suppose that the ring class field \(N_ f\) modulo f (f\(\in {\mathbb{N}})\) of an imaginary quadratic field \(\Sigma\) is a dihedral extension over \({\mathbb{Q}}\) with Galois group \(D_ 4\). Let K be the unique real quadratic subfield of \(N_ f\).
Toyokazu Hiramatsu +2 more
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A Lyapunov type inequality for indefinite weights and eigenvalue homogenization [PDF]
Proceedings of the American Mathematical Society, 2015 12 ...
Julián Fernández Bonder +2 more
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Nonlinear concave-convex problems with indefinite weight [PDF]
Complex Variables and Elliptic Equations, 2021 We consider a parametric nonlinear Robin problem driven by the p-Laplacian and with a reaction having the competing effects of two terms. One is a parametric -sublinear term (concave nonlinearity) and the other is a -superlinear term (convex nonlinearity)
N. Papageorgiou, C. Vetro, F. Vetro
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Nonlocal eigenvalue problems with indefinite weight [PDF]
Methods of Functional Analysis and Topology, 2020 In the present paper, we consider a class of eigenvalue problems driven by a nonlocal integro-di erential operator \scrL K with Dirichlet boundary conditions.
Said Taarabti
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Bifurcation of positive and negative solutions of nonlinearizable Sturm-Liouville problems with indefinite weight [PDF]
, 2020 We consider nonlinearizable Sturm-Liouville problem indefinite weight function. We show the existence of two pairs of global continua emanating from the bifurcation intervals surrounding the principal eigenvalues of the corresponding linear problem and ...
Ziyatkhan S. Aliyev, Leyla Nasirova
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Eigenvalues and bifurcation for Neumann problems with indefinite weights
Electronic Journal of Differential Equations, 2021 We consider eigenvalue problems and bifurcation of positive solutions for elliptic equations with indefinite weights and with Neumann boundary conditions. We give complete results concerning the existence and non-existence of positive solutions for the superlinear coercive and non-coercive problems, showing a surprising complementarity of the ...
Marta Calanchi, Bernhard Ruf
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Existence Results for Quasilinear Elliptic Equations with Indefinite Weight [PDF]
Abstract and Applied Analysis, 2012 We provide the existence of a solution for quasilinear elliptic equation −div(𝑎∞(𝑥)|∇𝑢|𝑝−2∇𝑢+̃𝑎(𝑥,|∇𝑢|)∇𝑢)=𝜆𝑚(𝑥)|𝑢|𝑝−2𝑢+𝑓(𝑥,𝑢)+ℎ(𝑥) in Ω under the Neumann boundary condition.
Mieko Tanaka
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 We consider a nonlinearizable eigenvalue problem for the beam equation with an indefinite weight function. We investigate the structure of bifurcation set and study the behavior of connected components of the solution set bifurcating from the line of ...
Ziyatkhan Aliyev, Rada Huseynova
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On positive solutions of second-order delayed differential system with indefinite weight
Boundary Value Problems, 2021 In this paper, we study the existence of positive solutions of a second-order delayed differential system, in which the weight functions may change sign. To prove our main results, we apply Krasnosel’skii’s fixed point theorems in cones.
Fanglei Wang, Ran Ding
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