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On limits of solutions of elliptic problems with nearly critical exponent. (English) Zbl 0799.35066

The authors study the behaviour of nonlinear equations involving the \(p\)- Laplacian with nearby critical exponent and Dirichlet boundary conditions. In particular, they study the asymptotic behaviour of solutions as a power approaches the critical exponent.
Reviewer: E.Dancer (Sydney)

MSC:

35J60 Nonlinear elliptic equations
35B40 Asymptotic behavior of solutions to PDEs
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
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References:

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