Titlebook: Contributions to Nonlinear Elliptic Equations and Systems; A Tribute to Djairo Alexandre Nolasco de Carvalho,Bernhard Ruf,Thierry Book 201

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Book 2015tial differential equations and systems throughout the entire world. The articles collected here pay tribute to him and his legacy and are intended for graduate students and researchers in mathematics and related areas who are interested in nonlinear elliptic partial differential equations and syste

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978-3-319-37238-9Springer International Publishing Switzerland 2015

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,Bubbling solutions to an anisotropic Hénon equation,)(. ? 2) and . is a positive real number which is not an even integer. Here . is a positive small parameter. We give some sufficient conditions on the function . which ensure existence of solutions to (.) blowing up at the point . as . goes to zero.

Initial

Nodal structure of the solution of a cooperative elliptic system,are interested in the behavior of .?=?.. when the parameter . varies near an eigenvalue of the system. Our results can be looked at as extensions to the case of (possibly) higher eigenvalues of a system of the classical maximum and antimaximum principles (which concern the first eigenvalue of a single equation).

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Nonquadraticity condition on superlinear problems,ove that, for superlinear problems, the nonquadraticity condition introduced by Costa and Magalh?es in (Nonlinear Anal. 23:1401–1412, 1994) is sufficient to get the compactness required by minimax procedures.

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