Results 81 to 90 of about 159,057 (193)
Nonlinear eigenvalue Neumann problems with discontinuities
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We derive a priori bounds for positive supersolutions of $-\Delta_p u = \rho(x) f(u)$, where p >1 and $\Delta_p$ is the p-Laplace operator, in a smooth bounded domain of $\mathbb{R}^N$ with zero Dirichlet boundary conditions. We apply our results to
Asadollah Aghajani +1 more
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Randomized Sketching of Nonlinear Eigenvalue Problems
Rational approximation is a powerful tool to obtain accurate surrogates for nonlinear functions that are easy to evaluate and linearize. The interpolatory adaptive Antoulas--Anderson (AAA) method is one approach to construct such approximants numerically.
Stefan Güttel +2 more
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Note on a Nonlinear Eigenvalue Problem [PDF]
1. V. F. Cowling, Walter Leighton and W. J. Thron, Twin convergence regions for continued fractions, Bull. Amer. Math. Soc. 50 (1944), 351-357. 2. R. E. Lane, Absolute convergence of continued fractions, Proc. Amer. Math. Soc. 3 (1952), 904-913. 3. R. E. Lane and H. S. Wall, Continued fractions with absolutely convergent even and odd parts, Trans. Amer.
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Existence of Solutions of a Discrete Fourth-Order Boundary Value Problem
Let a,b be two integers with b-a≥5 and let 𝕋2={a+2,a+3,…,b-2}. We show the existence of solutions for nonlinear fourth-order discrete boundary value problem Δ4u(t-2)=f(t,u(t), Δ2u(t-1)), t∈𝕋2, u(a+1)=u(b-1)=Δ2u(a)=Δ2u(b-2)=0 under a ...
Ruyun Ma, Chenghua Gao, Yongkui Chang
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Finite element approximation of the first eigenvalue of a nonlinear problem for some special domain
In this paper we present a method for the numerical approximation of the smallest eigenvalue of a nonlinear eigenvalue problem using the finite element method.
Gabriella Bognár
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Second Eigenfunctions of Nonlinear Eigenvalue Problems
The author considers the eigenvalue problem (1) \(g'(u) = \lambda f' (u)\) where \(f\) and \(g\) are Fréchet differentiable functionals on a Hilbert space \(H\). A particular case of (1) is a linear equation \(Au = \lambda u\) where \(A\) is a weakly continuous selfadjoint linear operator on \(H\).
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Three solutions for quasilinear equations in Rn near resonance
We use minimax methods to prove the existence of at least three solutions for a quasilinear elliptic equation in $mathbb {R}^n$ near resonance.
Pablo De Napoli, Maria Cristina Mariani
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Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions
By employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.
Guotao Wang, Sanyang Liu, Lihong Zhang
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