On a class of singular anisotropic $(p,q)$-equations

Nikolaos S. Papageorgiou; Patrick Winkert

On a class of singular anisotropic $(p,q)$-equations

Analysis of PDEs 2021-04-01 v3

Authors: Nikolaos S. Papageorgiou , Patrick Winkert

Abstract

We consider a Dirichlet problem driven by the anisotropic $(p,q)$ -Laplacian and with a reaction that has the competing effects of a singular term and of a parametric superlinear perturbation. Based on variational tools along with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter varies.

Keywords

anisotropic (p,q)-laplacian dirichlet problem singular term superlinear perturbation bifurcation positive solutions

Cite

@article{arxiv.2007.00945,
  title  = {On a class of singular anisotropic $(p,q)$-equations},
  author = {Nikolaos S. Papageorgiou and Patrick Winkert},
  journal= {arXiv preprint arXiv:2007.00945},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2101.05915

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