Nonlinear Elliptic Equations Involving Critical Sobolev Exponents: Asymptotic Analysis via Methods of Epi-Convergence
Copyright policy )Nonlinear Elliptic Equations Involving Critical Sobolev Exponents: Asymptotic Analysis via Methods of Epi-Convergence
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.
- University of Basel Switzerland
- University of Upper Alsace France
Variational methods for second-order elliptic equations, Methods involving semicontinuity and convergence; relaxation, Nonlinear boundary value problems for linear elliptic equations, minimizing sequence, epi-convergence arguments, critical Sobolev exponents
Variational methods for second-order elliptic equations, Methods involving semicontinuity and convergence; relaxation, Nonlinear boundary value problems for linear elliptic equations, minimizing sequence, epi-convergence arguments, critical Sobolev exponents
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