Results 41 to 50 of about 176 (139)
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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On a class of nonlinear discrete problems of Kirchhoff type [PDF]
In view of variational methods and critical points theory, we study the existence of solutions for a discrete boundary value problem, which is a discrete variant of a continuous (p1(x), p2(x))-Kirchhoff-type problem, with a real parameter λ > 0 ...
AYOUJIL, Abdesslem +2 more
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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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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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On some classes of generalized Schrödinger equations
Advances in Nonlinear Analysis, 2020 Some classes of generalized Schrödinger stationary problems are studied. Under appropriated conditions is proved the existence of at least 1 + ∑i=2m$\begin{array}{} \sum_{i=2}^{m} \end{array}$ dim Vλi pairs of nontrivial solutions if a parameter involved
Correa Leão Amanda S. S. +3 more
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Generalized homogeneous Besov spaces and their applications [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 35L05. Secondary 46E35, 35J25, 22E30.In this paper we define the homogeneous Besov spaces associated with the Dunkl operators on R^d, and we give a complete analysis on these spaces and same ...
Mejjaoli, Hatem
core
Nonlinear Neumann Boundary Conditions for Quasilinear Degenerate Elliptic Equations and Applications [PDF]
, 1999 We prove comparison results between viscosity sub and supersolutions of degenerate elliptic and parabolic equations associated to, possibly nonlinear, Neumann boundary conditions. These results are obtained under more general assumptions on the equation (
Barles, Guy, Guy Barles
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, 2020 Interpolation theorems are proved for Sobolev spaces of functions on nonsmooth domains with vanishing trace on a part of the boundary.
Joachim Rehberg +5 more
core
Advanced Nonlinear Studies, 2018 This paper is concerned with the boundary behavior of the unique convex solution to a singular Dirichlet problem for the Monge–Ampère ...
Zhang Zhijun
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