The p-Laplace equation in domains with multiple crack section via pencil operators [PDF]
, 2014 The p-Laplace equation $$ \n \cdot (|\n u|^n \n u)=0 \whereA n>0, $$ in a bounded domain $\O \subset \re^2$, with inhomogeneous Dirichlet conditions on the smooth boundary $\p \O$ is considered.
Alvarez-Caudevilla, Pablo +1 more
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On the existence of oscillating solutions in non-monotone Mean-Field Games [PDF]
, 2018 For non-monotone single and two-populations time-dependent Mean-Field Game systems we obtain the existence of an infinite number of branches of non-trivial solutions. These non-trivial solutions are in particular shown to exhibit an oscillatory behaviour
Cirant, Marco
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Bifurcations of nontrivial solutions of a cubic Helmholtz system [PDF]
, 2018 This paper presents local and global bifurcation results for radially symmetric solutions of the cubic Helmholtz system \begin{equation*} \begin{cases} -\Delta u - \mu u = \left( u^2 + b \: v^2 \right) u &\text{ on } \mathbb{R}^3, \\ -\Delta v - \nu v = \
Mandel, Rainer, Scheider, Dominic
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Bifurcations of nontrivial solutions of a cubic Helmholtz system
Advances in Nonlinear Analysis, 2019 This paper presents local and global bifurcation results for radially symmetric solutions of the cubic Helmholtz ...
Mandel Rainer, Scheider Dominic
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Preface. Bifurcations and Pattern Formation in Biological Applications [PDF]
, 2016 In the preface we present a short overview of articles included in the issue "Bifurcations and pattern formation in biological applications" of the journal Mathematical Modelling of Natural ...
A. Morozov +27 more
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Traveling gravity water waves with critical layers [PDF]
, 2016 We establish the existence of small-amplitude uni- and bimodal steady periodic gravity waves with an affine vorticity distribution, using a bifurcation argument that differs slightly from earlier theory.
Aasen, Ailo, Varholm, Kristoffer
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On the manifold structure of the set of unparameterized embeddings with low regularity
, 2010 Given manifolds $M$ and $N$, with $M$ compact, we study the geometrical structure of the space of embeddings of $M$ into $N$, having less regularity than $\mathcal C^\infty$, quotiented by the group of diffeomorphisms of $M$.Comment: To appear in the ...
Alias, Luis J., Piccione, Paolo
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Bifurcation of the roots of the characteristic polynomial and destabilization paradox in friction induced oscillations [PDF]
, 2007 Paradoxical effect of small dissipative and gyroscopic forces on the stability of a linear non-conservative system, which manifests itself through the unpredictable at first sight behavior of the critical non-conservative load, is studied.
Kirillov, Oleg
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Loop Type Subcontinua of Positive Solutions for Indefinite Concave-Convex Problems
Advanced Nonlinear Studies, 2019 We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions.
Kaufmann Uriel +2 more
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Dynamics of a hyperbolic system that applies at the onset of the oscillatory instability [PDF]
, 1998 A real hyperbolic system is considered that applies near the onset of the oscillatory instability in large spatial domains. The validity of that system requires that some intermediate scales (large compared with the basic wavelength of the unstable modes
Alvarez-Pereira C +18 more
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