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Title A computational algorithm for sublinear elliptic partial differential equations
Type JournalPaper
Keywords Reduction algorithm; Sublinear problems; Lyapunov–Schmidt method; Dirichlet boundary value problem
Abstract We consider a sublinear elliptic BVP on the unit square and recall that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. In this article we apply the Lyapunov–Schmidt reduction method to obtain fifth solution.
Researchers zohreh Naghizadeh (Third Researcher), Somayeh Mahdavi (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)