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Abstract: We obtain some new criteria for bifurcation of solutions of general boundary value problems for nonlinear systems of elliptic partial differential equations which are rather different from t...
We consider the focusing (attractive) nonlinear Schr¨odinger (NLS) equation with an external, symmetric potential which vanishes at infinity and supports a linear bound state. We prove that the symm...
Countable families of global-in-time and blow-up similarity sign-changing patterns of the Cauchy problem for the fourth-order thin film equation (TFE–4) ut = −∇ · (|u|n∇u) in RN × R...
Homoclinic Bifurcation of Orbit Flip with Resonant Principal Eigenvalues          font style='font-size:12px;'> 2007/12/12
Codimension-3 bifurcations of an orbit-flip homoclinic orbit with resonant principal eigenvalues are studied for a four-dimensional system. The existence, number, co-existence and non-coexistence of 1...

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