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math.AP2010
Coincidence sets in quasilinear elliptic problems of monostable type
Shingo Takeuchi
This paper concerns the formation of a coincidence set for the positive solution of -Laplacian elliptic problems of monostable type. It is proved that for any small parameter of…
math.AP2010★ 81 cited
Generalized elliptic functions and their application to a nonlinear eigenvalue problem with -Laplacian
Shingo Takeuchi
The Jacobian elliptic functions are generalized and applied to a nonlinear eigenvalue problem with -Laplacian. The eigenvalue and the corresponding eigenfunction are represented…