Results 11 to 20 of about 439 (72)

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, A. Morozov, Aydogmus, Banerjee, Bayliss, Biancalani, Burgess, Chaplain, Crampin, Eftimie, Gierer, Kelkel, Kondo, M. Ptashnyk, M. Ptashnyk, Madzvamuse, Maini, McKane, Murray, Painter, Sherratt, Siekmann, Turing, V. Volpert, V. Volpert, Valenti, Valenti, Wallace   +27 more
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Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator [PDF]

, 2004
In this paper we extend existing results concerning generalized eigenvalues of Pucci's extremal operators. In the radial case, we also give a complete description of their spectrum, together with an equivalent of Rabinowitz's Global Bifurcation Theorem ...
Alexander Quaas, Bardi, Bensoussan, Berestycki, Berestycki, Berestycki, Cabré, Caffarelli, Crandall, Crandall, Dancer, de Figueiredo, del Pino, del Pino, Drábek, Felmer, Felmer, Felmer, Fučík, Gallouet, Gilbarg, Jérôme Busca, Lions, Lions, Lions, Lions, Lions, Lions, Maria J. Esteban, Ni, Pucci, Pucci, Quaas, Rabinowitz, Rabinowitz, Safonov, Schechter   +36 more
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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, Ambrosetti, Dalbono, Deng, Fitzpatrick, Nils Waterstraat, Rabier, Smale, Smale   +8 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, Galaktionov, Victor A.   +1 more
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On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls [PDF]

, 2013
We study bifurcation from a branch of trivial solutions of semilinear elliptic Dirichlet boundary value problems on a geodesic ball, whose radius is used as the bifurcation parameter.
Alessandro Portaluri, Ambrosetti, Aubin, Besse, Fitzpatrick, Hörmander, Nils Waterstraat, Portaluri, Rabinowitz, Smale, Smale, Taylor, Uhlenbeck   +12 more
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Waves of maximal height for a class of nonlocal equations with homogeneous symbols [PDF]

, 2018
We discuss the existence and regularity of periodic traveling-wave solutions of a class of nonlocal equations with homogeneous symbol of order $-r$, where $r>1$.
Bruell, Gabriele, Dhara, Raj Narayan
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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
doaj   +1 more source

Geometric Aspects of Ambrosetti-Prodi operators with Lipschitz nonlinearities

, 2015
For Dirichlet boundary conditions on a bounded domain, what happens to the critical set of the Ambrosetti-Prodi operator if the nonlinearity is only a Lipschitz map?
A Ambrosetti, A Hammerstein, A Manes, AC Lazer, AC Lazer, CL Dolph, DG Costa, G Savaré, JT Cal Neto, MS Berger, MW Smiley, P Felmer, P Grisvard   +12 more
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Weakly-nonlinear analysis of the Rayleigh–Taylor instability in a vertically vibrated, large aspect ratio container [PDF]

, 2001
We consider a horizontal liquid layer supported by air in a wide (as compared to depth) container, which is vertically vibrated with an appropriately large frequency, intending to counterbalance the Rayleigh-Taylor instability of the fíat, rigid-body ...
Lapuerta González, María Victoria, Mancebo, Francisco J., Vega de Prada, José Manuel   +2 more
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Intervals of bifurcation points for semilinear elliptic problems

Advances in Nonlinear Analysis
In this article, we study the behavior of multiple continua of solutions to the semilinear elliptic problem −Δu=λf(u),inΩ,u=0,on∂Ω,\left\{\begin{array}{ll}-\Delta u=\lambda f\left(u),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em ...
Tapia José Carmona, Aparicio Antonio J. Martínez, Martínez-Aparicio Pedro J.   +2 more
doaj   +1 more source