Results 11 to 20 of about 429 (89)
Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent
Nonautonomous Dynamical Systems, 2020 We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method.
Ibrango Idrissa +3 more
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The eigenvalue problem for the p‐Laplacian‐like equations
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 575-586, 2003., 2003 We consider the eigenvalue problem for the following p‐Laplacian‐like equation: −div(a(|Du|p)|Du|p−2Du) = λf(x, u) in Ω, u = 0 on ∂Ω, where Ω ⊂ ℝn is a bounded smooth domain. When λ is small enough, a multiplicity result for eigenfunctions are obtained. Two examples from nonlinear quantized mechanics and capillary phenomena, respectively, are given for
Zu-Chi Chen, Tao Luo
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The Convexity of a Fully Nonlinear Operator and Its Related Eigenvalue Problem
Journal of Mathematical Study, 2019 We first get an existence and uniqueness result for a nonlinear eigenvalue problem. Then, we establish the constant rank theorem for the problem and use it to get a convexity property of the solution.
Jiuzhou Huang
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Generalized Picone inequalities and their applications to (p,q)-Laplace equations
Open Mathematics, 2020 We obtain a generalization of the Picone inequality which, in combination with the classical Picone inequality, appears to be useful for problems with the (p,q)(p,q)-Laplace-type operators.
Bobkov Vladimir, Tanaka Mieko
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Multiplicity solutions of a class fractional Schrödinger equations
Open Mathematics, 2017 In this paper, we study the existence of nontrivial solutions to a class fractional Schrödinger equations (−Δ)su+V(x)u=λf(x,u)inRN, $$ {( - \Delta )^s}u + V(x)u = \lambda f(x,u)\,\,{\rm in}\,\,{\mathbb{R}^N}, $$ where (−Δ)su(x)=2limε→0∫RN∖Bε(X)u(x)−u(y ...
Jia Li-Jiang +3 more
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A result on the bifurcation from the principal eigenvalue of the Ap‐Laplacian
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 185-195, 1997., 1997 We study the following bifurcation problem in any bounded domain Ω in ℝN: . We prove that the principal eigenvalue λ1 of the eigenvalue problem is a bifurcation point of the problem mentioned above.
P. Drábek, A. Elkhalil, A. Touzani
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On a problem of lower limit in the study of nonresonance
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 227-237, 1997., 1997 We prove the solvability of the Dirichlet problem for every given h, under a condition involving only the asymptotic behaviour of the potential F of f with respect to the first eigenvalue of the p‐Laplacian Δp. More general operators are also considered.
A. Anane, O. Chakrone
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Continuous spectrum for some classes of (p,2)-equations with linear or sublinear growth
, 2017 We are concerned with two classes of nonlinear eigenvalue problems involving equations driven by the sum of the p-Laplace (p > 2) and Laplace operators.
Nejmeddine Chorfi +1 more
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Deformation of domain and the limit of the variational eigenvalues of semilinear elliptic operators
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 679-688, 1996., 1994 We consider the semilinear elliptic eigenvalue problem The asymptotic behavior of the variational eigenvalues μ = μn(r, α) obtained by Ljusternik‐Schnirelman theory is studied when the domain Ω0 is deformed continuously. We also consider the cases that Vol(Ωr) → 0, ∞ as r → ∞.
Tetsutaro Shibata
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NONLINEAR RANK-ONE MODIFICATION OF THE SYMMETRIC EIGENVALUE PROBLEM *
, 2010 Nonlinear rank-one modiflcation of the symmetric eigenvalue problem arises from eigenvibrations of mechanical structures with elastically attached loads and calculation of the propagation modes in optical flber.
Xin Huang, Z. Bai, Yangfeng Su
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