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Full-Text Articles in Physical Sciences and Mathematics
Multiple Solutions For A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
Multiple Solutions For A Nonlinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
All HMC Faculty Publications and Research
The authors prove 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. Extensive use is made of Lyapunov-Schmidt reduction arguments, the mountain pass lemma, and characterizations of the local degree of critical points.
Multiple Solutions For A Semilinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
Multiple Solutions For A Semilinear Dirichlet Problem, Alfonso Castro, Jorge Cossio
All HMC Faculty Publications and Research
The authors prove 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. Extensive use is made of Lyapunov–Schmidt reduction arguments, the mountain pass lemma, and characterizations of the local degree of critical points.