Results 21 to 30 of about 446 (63)
Trimodal steady water waves [PDF]
, 2014 We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests in each minimal period.
Ehrnström, Mats, Wahlén, Erik
core +4 more sources
On the flow of non-axisymmetric perturbations of cylinders via surface diffusion [PDF]
, 2015 We study the surface diffusion flow acting on a class of general (non--axisymmetric) perturbations of cylinders $\mathcal{C}_r$ in ${\rm I \! R}^3$. Using tools from parabolic theory on uniformly regular manifolds, and maximal regularity, we establish ...
Amann +40 more
core +3 more sources
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
core +2 more sources
Fibers and global geometry of functions [PDF]
, 2015 Since the seminal work of Ambrosetti and Prodi, the study of global folds was enriched by geometric concepts and extensions accomodating new examples. We present the advantages of considering fibers, a construction dating to Berger and Podolak's view of ...
A. Ambrosetti +28 more
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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
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 +36 more
core +6 more sources
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
doaj +1 more source
Complex Bifurcation from Real Paths [PDF]
, 1990 A new bifurcation phenomenon, called complex bifurcation, is studied. The basic idea is simply that real solution paths of real analytic problems frequently have complex paths bifurcating from them. It is shown that this phenomenon occurs at fold points,
Henderson, M. E., Keller, H. B.
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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
core +3 more sources
An elliptic equation with an indefinite sublinear boundary condition
Advances in Nonlinear Analysis, 2016 We investigate the ...
Ramos Quoirin Humberto, Umezu Kenichiro
doaj +1 more source