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arXiv · 1610.04652

Concave-convex effects for critical quasilinear elliptic problems

C. Goulart·E. D. da Silva·M. L. M. Carvalho·J. V. Goncalves
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Abstract

It is established existence, multiplicity and asymptotic behavior of positive solutions for a quasilinear elliptic problem driven by the $Φ$-Laplacian operator. One of these solutions is obtained as ground state solution by applying the well known Nehari method. The semilinear term in the quasilinear equation is a concave-convex function which presents a critical behavior at infinity. The concentration compactness principle is used in order to recover the compactness required in variational methods.

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C. Goulart, E. D. da Silva, M. L. M. Carvalho, J. V. Goncalves. 2016-10-14. Concave-convex effects for critical quasilinear elliptic problems. https://arxiv.org/abs/1610.04652

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