Structure of large positive solutions of some semilinear elliptic problems where the nonlinearity changes sign | Zendy

Zongming Guo | Zendy

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Structure of large positive solutions of some semilinear elliptic problems where the nonlinearity changes sign

Author(s) -

Zongming Guo

Publication year - 2001

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2001.023

Subject(s) - uniqueness , mathematics , bounded function , lambda , sign (mathematics) , omega , mathematical analysis , nonlinear system , dirichlet boundary condition , boundary (topology) , dirichlet distribution , dirichlet problem , boundary value problem , pure mathematics , elliptic curve , physics , optics , quantum mechanics

Existence and uniqueness of large positive solutionsare obtained for some semilinear elliptic Dirichlet problemsin bounded smooth domains $\Omega$ with a large parameter $\lambda$.It is shown that the large positive solution has flat core. Thedistance of its flat core to the boundary $\partial \Omega$ isexactly measured as $\lambda \to \infty$.

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