In this article we survey some recent results on superlinear elliptic equations and systems. A particular focus will be the borderline situations of so-called critical growth. In the existence theorems, we will use mostly variational methods, that is we look for critical points of functionals associated to the equations and systems.
Superlinear elliptic equations and systems / B. Ruf - In: Handbook of Differential Equations. 5, Stationary Partial Differential Equations / [a cura di] M. Chipot. - Amsterdam : Elsevier, 2008. - ISBN 978-0-444-53217-6. - pp. 211-276
Superlinear elliptic equations and systems
B. RufPrimo
2008
Abstract
In this article we survey some recent results on superlinear elliptic equations and systems. A particular focus will be the borderline situations of so-called critical growth. In the existence theorems, we will use mostly variational methods, that is we look for critical points of functionals associated to the equations and systems.
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