INFINITELY MANY SOLUTIONS OF A WAVE EQUATION WITH JUMPING NONLINEARITY

  • Published : 2000.11.01

Abstract

We investigate a relation between multiplicity of solutions and source terms of jumping problem in wave equation when the nonlinearity crosses an eigenvalue and the source term is generated by finite eigenfunctions. We also show that the jumping problem has infinitely many solutions when the source term is positive multiple of the positve eigenfunction.

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References

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