Results 1 to 10 of about 12,947 (248)

Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we consider bifurcation from zero or infinity of nontrivial solutions of the nonlinear Sturm–Liouville problem with indefinite weight. This problem is mainly important because of it is related with a selection-migration model in genetic ...
Ziyatkhan Aliyev, Leyla Nasirova
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Asymmetric elliptic problems with indefinite weights

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2002
We prove the existence of a first nontrivial eigenvalue for an asymmetric elliptic problem with weights involving the laplacian (cf. (1.2) below) or more generally the p -laplacian (cf. (1.3) below).
Margarita Arias, Juan Campos, Mabel Cuesta, Jean–Pierre Gossez   +3 more
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Principal Eigenvalues with Indefinite Weight Functions [PDF]

Transactions of the American Mathematical Society, 1997
Both existence and non-existence results for principal eigenvalues of an elliptic operator with indefinite weight function have been proved. The existence of a continuous family of principal eigenvalues is demonstrated.
Zhiren Jin
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A Counterexample for Singular Equations with Indefinite Weight

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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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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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, Noburo Ishii, Yoshio Mimura   +2 more
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Steklov problem with an indefinite weight for the p-Laplacian

Electronic Journal of Differential Equations, 2005
Let $Omegasubsetmathbb{R}^{N}$, with $Ngeq2$, be a Lipschitz domain and let 1 lees than p less than $infty$. We consider the eigenvalue problem $Delta_{p}u=0$ in $Omega$ and $| abla u|^{p-2}frac{partial u}{partial u}=lambda m|u|^{p-2}u$ on $partialOmega$
Olaf Torne
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Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains

Mathematical Biosciences and Engineering, 2008
This paper is concerned with an indefinite weight linear eigenvalueproblem in cylindrical domains. We investigate the minimization of the positiveprincipal eigenvalue under the constraint that the weight is bounded bya positive and a negative constant ...
Chiu-Yen Kao, Yuan Lou, Eiji Yanagida
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Three weak solutions for degenerate weighted quasilinear elliptic equations with indefinite weights and variable exponents

AIMS Mathematics
This paper explores the multiplicity of weak solutions to a class of weighted elliptic problems with variable exponents, incorporating a Hardy term and a nonlinear indefinite source term.
Khaled Kefi, Nasser S. Albalawi
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Nonlocal eigenvalue problems with indefinite weight [PDF]

Methods of Functional Analysis and Topology, 2020
Said Taarabti
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