Results 41 to 50 of about 1,706 (121)
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 279-283, 2002., 2002 We investigate the continuity of principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem −Δu(x) = λg(x)u(x), x ∈ BR(0); u(x) = 0, |x| = R, where BR(0) is a ball in ℝN, and g is a smooth function, and we show that λ1+(R) and λ1−(R) are continuous functions of R.
Ghasem Alizadeh Afrouzi
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Elliptic problems with nonmonotone discontinuities at resonance (Erratum)
, 2004 Abstract and Applied Analysis, Volume 2004, Issue 3, Page 269-270, 2004.
Halidias Nikolaos
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International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 1, Page 25-29, 2002., 2002 We study the principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem: −Δu(x) = λg(x)u(x), x ∈ D; (∂u/∂n)(x) + αu(x) = 0, x ∈ ∂D, where Δ is the standard Laplace operator, D is a bounded domain with smooth boundary, g : D → ℝ is a smooth function which changes sign on D and α ∈ ℝ.
G. A. Afrouzi
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Advances in Nonlinear Analysis, 2021 In this paper, we establish the second boundary behavior of the unique strictly convex solution to a singular Dirichlet problem for the Monge-Ampère ...
Wan Haitao, Shi Yongxiu, Liu Wei
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Spatial boundary problem with the Dirichlet-Neumann condition for a singular elliptic equation
, 2012 The present work devoted to the finding explicit solution of a boundary problem with the Dirichlet-Neumann condition for elliptic equation with singular coefficients in a quarter of ball. For this aim the method of Green's function have been used. Since,
Agostinelli +26 more
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On the existence of bounded solutions of nonlinear elliptic systems
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 479-490, 2002., 2002 We study the existence of bounded solutions to the elliptic system −Δpu = f(u, v) + h1 in Ω, −Δqv = g(u, v) + h2 in Ω, u = v = 0 on ∂Ω, non‐necessarily potential systems. The method used is a shooting technique. We are concerned with the existence of a negative subsolution and a nonnegative supersolution in the sense of Hernandez; then we construct ...
Abdelaziz Ahammou
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Advances in Nonlinear AnalysisLet Ω⊂Rn\Omega \subset {{\bf{R}}}^{n} be a smooth bounded domain. In this article, we prove a result of which the following is a by-product: Let q∈]0,1[q\in ]0,1{[}, α∈L∞(Ω)\alpha \in {L}^{\infty }\left(\Omega ), with α>0\alpha \gt 0, and k∈Nk\in {\bf{N}}
Ricceri Biagio
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Advances in Nonlinear Analysis, 2022 In this article, we study the existence of multiple solutions to a generalized p(⋅)p\left(\cdot )-Laplace equation with two parameters involving critical growth.
Ho Ky, Sim Inbo
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Some nonlinear second order equation modelling rocket motion [PDF]
, 2015 In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force.
Bors, Dorota, Stańczy, Robert
core
, 2017 In this paper we propose a counterexample to the validity of the Comparison Principle and of the Sub and Supersolution Method for nonlocal problems like the stationary Kirchhoff Equation.
Iturriaga, Leonelo, Massa, Eugenio
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