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Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros [PDF]

, 2010
Iturriaga, Leonelo, Lorca, Sebastián, Massa, Eugenio +2 more
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The ground states for the non-cooperative autonomous systems involving the fractional Laplacian

, 2022
The aim of this paper is to study the the following non-cooperative autonomous systems involving the fractional Laplacian(−∆)su + λu = g(v), in RN,(−∆)sv + λv = f(u), in RN,where s ∈ (0, 1), N > 2s, λ > 0, (−∆)s is the fractional Laplacian and f and g ...
Suhong Li, Limeng Wu, Shiqian He, Lingmin Zhang +3 more
semanticscholar +1 more source

A three critical points result in a bounded domain of a Banach space and applications

Differential and Integral Equations, 2017
Using the bounded mountain pass lemma and the Ekeland variational principle we prove a bounded version of the Pucci–Serrin three critical points result in the intersection of a ball with a wedge in a Banach space.
Radu Precup, P. Pucci, C. Varga
semanticscholar +1 more source

Positive homoclinic solutions for the discrete $p$-Laplacian with a coercive weight function

Differential and Integral Equations, 2014
We study a p-Laplacian difference equation on the set of integers, involving a coercive weight function and a reaction term satisfying the Ambrosetti-Rabinowitz condition.
A. Iannizzotto, Vicentiu D. Rădulescu
semanticscholar +1 more source

A two-step Laplace decomposition method for solving nonlinear partial differential equations