scholarly journals A Fujita Type Result for a Degenerate Neumann Problem in Domains with Noncompact Boundary

1999 ◽  
Vol 231 (2) ◽  
pp. 543-567 ◽  
Author(s):  
Daniele Andreucci ◽  
Anatoli F. Tedeev
Keyword(s):  
Neumann Problem ◽  
Type Result ◽  
Noncompact Boundary

An Ambrosetti–Prodi-type result for a quasilinear Neumann problem

2012 ◽  
Vol 55 (3) ◽  
pp. 771-780 ◽  
Author(s):  
Franciso Odair de Paiva ◽  
Marcelo Montenegro
Keyword(s):  
Boundary Condition ◽  
Neumann Problem ◽  
Neumann Boundary Condition ◽  
A Priori ◽  
Degree Theory ◽  
Neumann Boundary ◽  
Minimal Solution ◽  
Type Result

AbstractWe study the problem −∆pu = f(x, u) + t in Ω with Neumann boundary condition |∇u|p−2(∂u/∂v) = 0 on ∂Ω. There exists a t0 ∈ ℝ such that for t > t0 there is no solution. If t ≤ t0, there is at least a minimal solution, and for t < t0 there are at least two distinct solutions. We use the sub–supersolution method, a priori estimates and degree theory.

scholarly journals Anisotropic Singular Neumann Equations with Unbalanced Growth

2021 ◽  
Author(s):  
Nikolaos S. Papageorgiou ◽  
Vicenţiu D. Rădulescu ◽  
Dušan D. Repovš
Keyword(s):  
Neumann Problem ◽  
Positive Solutions ◽  
Singular Term ◽  
Combined Effects ◽  
Positive Parameter ◽  
Type Result ◽  
Unbalanced Growth ◽  
Continuity Properties ◽  
Variational Tools ◽  
Superlinear Perturbation

AbstractWe consider a nonlinear parametric Neumann problem driven by the anisotropic (p, q)-Laplacian and a reaction which exhibits the combined effects of a singular term and of a parametric superlinear perturbation. We are looking for positive solutions. Using a combination of topological and variational tools together with suitable truncation and comparison techniques, we prove a bifurcation-type result describing the set of positive solutions as the positive parameter λ varies. We also show the existence of minimal positive solutions $u_{\lambda }^{*}$ u λ ∗ and determine the monotonicity and continuity properties of the map $\lambda \mapsto u_{\lambda }^{*}$ λ ↦ u λ ∗ .

scholarly journals Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Valdete Loku ◽  
Naim L. Braha ◽  
Toufik Mansour ◽  
M. Mursaleen
Keyword(s):  
Power Series ◽  
Summability Method ◽  
Approximation Properties ◽  
Type Result ◽  
Szász Operators ◽  
Sheffer Polynomials

AbstractThe main purpose of this paper is to use a power series summability method to study some approximation properties of Kantorovich type Szász–Mirakyan operators including Sheffer polynomials. We also establish Voronovskaya type result.

Markovian random iterations of homeomorphisms of the circle

2021 ◽  
pp. 1-22
Author(s):  
EDGAR MATIAS
Keyword(s):  
Markov Chains ◽  
Invariance Principle ◽  
Exponential Synchronization ◽  
Type Result

Abstract In this paper we prove a local exponential synchronization for Markovian random iterations of homeomorphisms of the circle $S^{1}$ , providing a new result on stochastic circle dynamics even for $C^1$ -diffeomorphisms. This result is obtained by combining an invariance principle for stationary random iterations of homeomorphisms of the circle with a Krylov–Bogolyubov-type result for homogeneous Markov chains.

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