Nonlinear elliptic equations involving critical Sobolev exponents: Asymptotic analysis via methods of epi-convergence (Q1340788)
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scientific article; zbMATH DE number 704302
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear elliptic equations involving critical Sobolev exponents: Asymptotic analysis via methods of epi-convergence |
scientific article; zbMATH DE number 704302 |
Statements
Nonlinear elliptic equations involving critical Sobolev exponents: Asymptotic analysis via methods of epi-convergence (English)
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18 December 1994
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Summary: We study the minimizers of two functionals involving critical Sobolev exponents, and whose Euler equations lead to nonlinear boundary value problems. We first employ classical methods to obtain estimates. We then rephrase the problems in a more abstract functional analytical setting. We use epi-convergence arguments in order to describe the behaviour of the minimizers.
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minimizing sequence
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critical Sobolev exponents
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epi-convergence arguments
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