Abstract
Existence and aymptotic expansion of some bifurcated solution for the following boundary value problem:
\begin{align*} -\Delta u+cu^{2}-B^{2}u & =0,\ \ \ \ \ \ \ x\in \Omega \\ u & =0,\ \ \ \ \ \ \ x\in \partial \Omega \end{align*}
are provided via the Lyapunov-Schmidt method and contraction mapping theorem. The bifurcation point occurs at the first eigenvalue of \(-\Delta\) operator.
Authors
Tiberiu Popoviciu Institute of Numerical Analysis
Keywords
nonlinear elliptic BVP; bifurcation point; Lyapunov-Schmidt method; contractions; asymptotic expansion
References
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Paper coordinates
C.I. Gheorghiu, Al. Tămăşan, On the bifurcation of the null solution of some mildly nonlinear elliptic boundary value problems, An. St. Univ. Ovidius Constanta, Seria Matematica, 5 (1996), 59-64.
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Publisher Name
Paper on journal website
Print ISSN
1224-1784
Online ISSN
1844-0835
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