Results 1 to 10 of about 439 (72)

Approximate nonradial solutions for the Lane-Emden problem in the ball

Advances in Nonlinear Analysis, 2021
In this paper we provide a numerical approximation of bifurcation branches from nodal radial solutions of the Lane Emden Dirichlet problem in the unit ball in ℝ2, as the exponent of the nonlinearity varies.
Fazekas Borbála, Pacella Filomena, Plum Michael   +2 more
doaj   +1 more source

Existence of nonminimal solutions to an inhomogeneous elliptic equation with supercritical nonlinearity

Advanced Nonlinear Studies, 2023
In our previous paper [K. Ishige, S. Okabe, and T. Sato, A supercritical scalar field equation with a forcing term, J. Math. Pures Appl. 128 (2019), pp.
Ishige Kazuhiro, Okabe Shinya, Sato Tokushi   +2 more
doaj   +1 more source

Bifurcation analysis for a modified quasilinear equation with negative exponent

Advances in Nonlinear Analysis, 2021
In this paper, we consider the following modified quasilinear problem:
Chen Siyu, Santos Carlos Alberto, Yang Minbo, Zhou Jiazheng   +3 more
doaj   +1 more source

Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity

Advances in Nonlinear Analysis, 2022
In this paper we study the existence and the nonexistence of solutions to an inhomogeneous non-linear elliptic problem (P)−Δu+u=F(u)+κμ  in  RN, u>0  in  RN, u(x)→0  as  |x|→∞,- \Delta u + u = F(u) + \kappa \mu \quad {\kern 1pt} {\rm in}{\kern 1pt ...
Ishige Kazuhiro, Okabe Shinya, Sato Tokushi   +2 more
doaj   +1 more source

Generic properties of the Rabinowitz unbounded continuum

Advanced Nonlinear Studies, 2023
In this article, we prove that, generically in the sense of domain variations, any solution to a nonlinear eigenvalue problem is either nondegenerate or the Crandall-Rabinowitz transversality condition that is satisfied. We then deduce that, generically,
Bartolucci Daniele, Hu Yeyao, Jevnikar Aleks, Yang Wen   +3 more
doaj   +1 more source

Complementing maps, continuation and global bifurcation [PDF]

, 1983
We state, and indicate some of the consequences of, a theorem whose sole assumption is the nonvanishing of the Leray- Schauder degree of a compact vector field, and whose conclusions yield multidimensional existence, continuation and bifurcation ...
Fitzpatrick, P., Massabò, I., Pejsachowicz, Jacobo   +2 more
core   +1 more source

Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study [PDF]

, 2018
In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ODE containing a constant delay. We study the bifurcation problem of the equilibria and we obtain an approximation of the periodic
Caraballo Garrido, Tomás, Colucci, Renato, Guerrini, Luca   +2 more
core   +2 more sources

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, Shioji Naoki, Stefaniak Piotr   +2 more
doaj   +1 more source

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, A. Hammerstein, A. Manes, A.C. Lazer, B. Morin, B. Sirakov, C.L. Dolph, D.G. Costa, E. Podolak, F.A. Berezin, H. Berestycki, H. Berestycki, H.P. McKean, H.T. Tehrani, I. Malta, I. Mandhyan, I. Mandhyan, J.T. Cal Neto, M Calanchi, M. Calanchi, M. Reed, M.S. Berger, M.S. Berger, M.W. Smiley, M.W. Smiley, P.T. Church, P.T. Church, T. Kappeler, T. Kato   +28 more
core   +2 more sources

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