Results 1 to 10 of about 3,505,030 (302)
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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Elliptic problems involving an indefinite weight [PDF]
Transactions of the American Mathematical Society, 1990 We consider a selfadjoint elliptic eigenvalue problem, which is derived formally from a variational problem, of the form L u = λ ω ( x ) u Lu = \lambda \omega (x)u in Ω \Omega , B j u =
M. Faierman
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A Counterexample for Singular Equations with Indefinite Weight [PDF]
Advanced Nonlinear Studies, 2017 We construct a second-order equation x¨=h(t)/xp{\ddot{x}=h(t)/x^{p}}, with p>1{p>1} and the sign-changing, periodic weight function h having negative mean, which does not have periodic solutions.
Ureña Antonio J.
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Spectrum of one dimensional p-Laplacian operator with indefinite weight
Electronic Journal of Qualitative Theory of Differential Equations, 2002 This paper is concerned with the nonlinear boundary eigenvalue problem $$-(|u'|^{p-2}u')'=\lambda m|u|^{p-2}u\qquad u \in I=]a,b[,\quad u(a)=u(b)=0,$$ where $p>1$, $\lambda$ is a real parameter, $m$ is an indefinite weight, and $a$, $b$ are real numbers.
Mohammed Moussa, A. Anane, Omar Chakrone
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On the spectrum of elliptic operators with respect to indefinite weights
Linear Algebra and its Applications, 1986 Recent results of linear elliptic eigenvalue problems with respect to indefinite weight functions are recalled, and some applications are given.
Peter Heß
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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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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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