Results 41 to 50 of about 172 (136)

On a class of nonlinear discrete problems of Kirchhoff type [PDF]

open access: yes
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
core   +2 more sources

Nonlinear Neumann Boundary Conditions for Quasilinear Degenerate Elliptic Equations and Applications [PDF]

open access: yes, 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
core   +1 more source

Existence of two solutions for singular Φ-Laplacian problems

open access: yesAdvanced Nonlinear Studies, 2022
Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ\Phi -Laplacian operator, and the reaction term can be nonmonotone.
Candito Pasquale   +2 more
doaj   +1 more source

Elliptic problems with nonmonotone discontinuities at resonance (Erratum)

open access: yes, 2004
Abstract and Applied Analysis, Volume 2004, Issue 3, Page 269-270, 2004.
Halidias Nikolaos
wiley   +1 more source

Boundedness and monotonicity of principal eigenvalues for boundary value problems with indefinite weight functions

open access: yesInternational 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
wiley   +1 more source

Точни решения на задачата на Бицадзе-Самарски и някои обобщения [PDF]

open access: yes, 2010
[Dimovski Ivan H.; Димовски Иван Х.]; [Tsankov Yulian Ts.; Цанков Юлиан Ц.]Mathematics Subject Classification (2000): 44A35, 35L20, 35J05 ...
Dimovski, Ivan H., Tsankov, Yulian Ts.
core  

On the existence of bounded solutions of nonlinear elliptic systems

open access: yesInternational 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
wiley   +1 more source

Generalized homogeneous Besov spaces and their applications [PDF]

open access: yes, 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  

Uniqueness of Radial Solutions of Semilinear Elliptic Equations [PDF]

open access: yes, 1992
E. Yanagida recently proved that the classical Matukuma equation with a given exponent has only one finite mass solution. We show how similar ideas can be exploited to obtain uniqueness results for other classes of equations as well as Matukuma equations
Kwong, Man Kam   +3 more
core   +2 more sources

Existence, uniqueness, localization and minimization property of positive solutions for non-local problems involving discontinuous Kirchhoff functions

open access: yesAdvances in Nonlinear Analysis
Let 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
doaj   +1 more source

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