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Displaying similar documents to “Problems involving p -Laplacian type equations and measures”

On the fusion problem for degenerate elliptic equations II

Stephen M. Buckley, Pekka Koskela (1999)

Commentationes Mathematicae Universitatis Carolinae

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Let F be a relatively closed subset of a Euclidean domain Ω . We investigate when solutions u to certain elliptic equations on Ω F are restrictions of solutions on all of Ω . Specifically, we show that if F is not too large, and u has a suitable decay rate near F , then u can be so extended.

Harmonic spaces associated with adjoints of linear elliptic operators

Peter Sjögren (1975)

Annales de l'institut Fourier

Similarity:

Let L be an elliptic linear operator in a domain in R n . We imposse only weak regularity conditions on the coefficients. Then the adjoint L * exists in the sense of distributions, and we start by deducing a regularity theorem for distribution solutions of equations of type L * u = given distribution. We then apply to L * R.M. Hervé’s theory of adjoint harmonic spaces. Some other properties of L * are also studied. The results generalize earlier work of the author.