Manifold constrained non-uniformly elliptic problems

We consider the problem of minimizing variational integrals defined on nonlinear Sobolev spaces of competitors taking values into the sphere. The main novelty is that the underlying energy features a non-uniformly elliptic integrand exhibiting different polynomial growth conditions and no homogeneit...

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Bibliographic Details
Main Authors: De Filippis, C, Mingione, G
Format: Journal article
Language:English
Published: Springer 2019