EXISTENCE OF THE SOLUTIONS FOR THE ELLIPTIC PROBLEM WITH NONLINEAR TERM DECAYING AT THE ORIGIN
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초록
We consider the multiplicity of the solutions for the elliptic boundary value problem with C1 nonlinear term decaying at the origin. We get a theorem which shows the existence of the nontrivial solution for the elliptic problem with C1 nonlinear term decaying at the origin. We obtain this result by reducing the elliptic problem with the C1 nonlinear term to the elliptic problem with bounded nonlinear term and then approaching the variational method and using the mountain pass geometry for the reduced the elliptic problem with bounded nonlinear term.
Abstract
We consider the multiplicity of the solutions for the elliptic boundary value problem with C1 nonlinear term decaying at the origin. We get a theorem which shows the existence of the nontrivial solution for the elliptic problem with C1 nonlinear term decaying at the origin. We obtain this result by reducing the elliptic problem with the C1 nonlinear term to the elliptic problem with bounded nonlinear term and then approaching the variational method and using the mountain pass geometry for the reduced the elliptic problem with bounded nonlinear term.
참고문헌 (8)
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