Publicação: On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result
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In this paper we prove the compactness of the embeddings of the space of radially symmetric functions of BL(R N) into some Lebesgue spaces. In order to do so we prove a regularity result for solutions of the Poisson equation with measure data in R N, as well as a version of the Radial Lemma of Strauss to the space BL(R N). An application is presented involving a quasilinear elliptic problem of higher-order, where variational methods are used to find the solutions.
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1-biharmonic operator, Bounded variation functions, Compactness with symmetry
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Inglês
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ESAIM - Control, Optimisation and Calculus of Variations, v. 26.
