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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https://doi.org/10.1007/978-3-642-58895-2We investigate the asymptotic behavior of positive ground states for Hénon type systems involving a fractional Laplacian on a bounded domain, when the powers of the nonlinearity approach the Sobolev critical exponent.

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澄清

https://doi.org/10.1007/978-3-642-59006-1In this paper we prove that the sub-supersolution method works for general Kirchhoff systems. We apply the cited method to prove the existence of positive solutions for some specific models.

Femish

,Nonexistence of positive classical solutions for the nonlinear Schr?dinger equation with unbounded We establish a nonexistence result of positive classical solutions for a class of nonlinear Schr?dinger equations involving unbounded, singular at the origin or decaying weights in dimension two. Our approach relies on the average argument.

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Breach

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Positive solutions for certain classes of fourth-order ordinary elliptic systems,Using fixed-point techniques, we study the existence of positive solutions for a class of fourth-order ordinary elliptic systems. To this end, we reduce our problem to an appropriate functional differential equation.