Positive solutions for a -Laplacian equation with sub-critical singular parametric reaction term

  • Pasquale Candito

    Università degli Studi Mediterranea di Reggio Calabria, Reggio Calabria, Italy
  • Giuseppe Failla

    Università degli Studi di Messina, Messina, Italy
  • Roberto Livrea

    Università degli Studi di Palermo, Palermo, Italy
Positive solutions for a $p$-Laplacian equation with sub-critical singular parametric reaction term cover
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Abstract

The existence of at least two smooth positive solutions for a parametric quasilinear elliptic problem driven by a -Laplacian operator involving a mildly singular non-linearity perturbed with a sub-critical term is established. Although, to get our conclusions, we combine variational and truncation techniques, we do not use the usual trick of versus Sobolev minimizers. An explicit quantitative estimate from below of the best theoretical parameters considered is furnished.

Cite this article

Pasquale Candito, Giuseppe Failla, Roberto Livrea, Positive solutions for a -Laplacian equation with sub-critical singular parametric reaction term. Z. Anal. Anwend. (2024), published online first

DOI 10.4171/ZAA/1771