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arXiv · 2011.09368

Another proof of a Lions type existence result

Zakaria Boucheche
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Abstract

This paper concerns a nonlinear elliptic equation involving a critical Sobolev growth and a lower-order term. Under a Lions's condition, we prove the existence of at least one positive solution. Our approach consists in constructing a relatively compact Palais--Smale sequence for the associated variational problem.

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Zakaria Boucheche. 2020-11-18. Another proof of a Lions type existence result. https://arxiv.org/abs/2011.09368

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