On the structure of positive solutions for a class of quasilinear equations

Willian Cintra; Everaldo Medeiros; Uberlandio Severo

On the structure of positive solutions for a class of quasilinear equations

Analysis of PDEs 2018-04-04 v1

Authors: Willian Cintra , Everaldo Medeiros , Uberlandio Severo

Abstract

This paper studies the existence, nonexistence and uniqueness of positive solutions for a class of quasilinear equations. We also analyze the behavior of this solutions with respect to two parameters $\kappa$ and $\lambda$ that appears in the equation. The proof of our main results relies on bifurcation techniques, the sub and supersolution method and a construction of an appropriate large solutions.

Keywords

quasilinear equations positive solutions bifurcation techniques sub and supersolution method large solutions

Cite

@article{arxiv.1804.00936,
  title  = {On the structure of positive solutions for a class of quasilinear equations},
  author = {Willian Cintra and Everaldo Medeiros and Uberlandio Severo},
  journal= {arXiv preprint arXiv:1804.00936},
  year   = {2018}
}

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