On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem [PDF]
, 2013 We study bifurcation from a branch of trivial solutions of semilinear elliptic Dirichlet boundary value problems on star-shaped domains, where the bifurcation parameter is introduced by shrinking the domain.
Alessandro Portaluri +8 more
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Rabinowitz Alternative for Non-cooperative Elliptic Systems on Geodesic Balls
Advanced Nonlinear Studies, 2018 The purpose of this paper is to study properties of continua (closed connected sets) of nontrivial solutions of non-cooperative elliptic systems considered on geodesic balls in Sn{S^{n}}.
Rybicki Sławomir +2 more
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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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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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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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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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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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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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