On the exact number of bifurcation branches in a square and in a cube
نویسندگان
چکیده
We study local bifurcation from an eigenvalue with multiplicity greater than one for a class of semilinear elliptic equations. In particular, we obtain the exact number of bifurcation branches of non trivial solutions at every eigenvalue of a square and at the second eigenvalue of a cube. We also compute the Morse index of the solutions in those branches.
منابع مشابه
Numerical Study of Reynolds Number Effects on Flow over a Wall-Mounted Cube in a Channel Using LES
Turbulent flow over wall-mounted cube in a channel was investigated numerically using Large Eddy Simulation. The Selective Structure Function model was used to determine eddy viscosity that appeared in the subgrid scale stress terms in momentum equations. Studies were carried out for the flows with Reynolds number ranging from 1000 to 40000. To evaluate the computational results, data was compa...
متن کامل. A P ] 1 S ep 2 00 5 On the exact number of bifurcation branches from a multiple eigenvalue ∗
We study local bifurcation from an eigenvalue with multiplicity greater than one for a class of semilinear elliptic equations. We evaluate the exact number of bifurcation branches of non trivial solutions and we compute the Morse index of the solutions in those branches.
متن کاملعوامل پیشگوییکننده انسداد شاخه جانبی و عوارض زودرس آن به دنبال آنژیوپلاستی عروق کرونر
Background: Percutaneous Coronary Intervention (PCI) for bifurcated lesions is associated with a low rate of success and high rate of complications compared to such treatment of lesions of most other morphologies. Symptoms occurring at the time of procedure caused by PCI may require additional angiography with or without stenting through stent struts, which subsequently increases risks of reste...
متن کاملاثرات روشهای مختلف تهیه بستر بر رشد رویشی، عملکرد و اجزاء عملکرد ماش
Limited time for crop residue decomposition and complete seedbed preparation in double-cropping necessitates reduced tillage which is associated with its shortcomings. Information about seedbed preparation aspects in double-cropping of wheat and mungbean in Isfahan is lacking. For this reason, the effects of various seedbed preparation methods on growth, seed yield and yield components of mungb...
متن کاملExtension of Cube Attack with Probabilistic Equations and its Application on Cryptanalysis of KATAN Cipher
Cube Attack is a successful case of Algebraic Attack. Cube Attack consists of two phases, linear equation extraction and solving the extracted equation system. Due to the high complexity of equation extraction phase in finding linear equations, we can extract nonlinear ones that could be approximated to linear equations with high probability. The probabilistic equations could be considered as l...
متن کامل