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Titlebook: Djairo G. de Figueiredo - Selected Papers; Djairo G. Figueiredo,David G. Costa Book 2013 Springer International Publishing Switzerland 201

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https://doi.org/10.1007/978-3-658-33740-7Kazdan-Warner, Amann-Hess, Dancer, K. C. Chang and de Figueiredo. The required abstract results on critical point theory of functionals in Hilbert space are all proved using Ekeland’s variational principle. These results apply as well to other superlinear elliptic problems provided an ordered pair o
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https://doi.org/10.1007/978-3-319-11590-0is shown that there exist positive and negative solutions. In the case when the domain is a ball in . and the nonlinearity “crosses” the first . eigenvalues, corresponding to radial eigenfunctions, it is proved that there are at least . + 1 radial solution.
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The Emergence of the Collective Mindey ingredient is a maximum principle for a linear elliptic system associated with (*). A priori bounds for the solutions of (*) are proved under various types of growth conditions on f. Variational methods are used to establish the existence of pairs of solutions for (*).
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