Multiplicity results for a class of superlinear elliptic problems

By David G. Costa, Zhi-Qiang Wang. 2004

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We study a class of superlinear elliptic problems -Δu = λf(u) under the Dirichlet boundary condition on a bounded smooth domain in R N . Assuming that the nonlinearity f(u) is superlinear in a neighborhood of u = 0, we study the dependence of the number of signed and sign-changing solutions on the parameter λ.

Subfields: Applied Mathematics, Computational Theory and Mathematics

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