Maximum and antimaximum principles for a second order differential operator with variable coefficients of indefinite sign

@article{Hakl2011MaximumAA,
  title={Maximum and antimaximum principles for a second order differential operator with variable coefficients of indefinite sign},
  author={Robert Hakl and Pedro J. Torres},
  journal={Applied Mathematics and Computation},
  year={2011},
  volume={217},
  pages={7599-7611}
}
New criteria for the existence of a maximum or antimaximum principle of a general second order operator with periodic conditions, as well as conditions for nonresonance, are provided and compared with the related literature. The purpose of this paper is to study some qualitative properties of the second order linear operator L½p; qŠu u 00 þ pðtÞu 0 þ qðtÞu with periodic conditions, where p, q 2 Lð½0; xŠ; RÞ are given Lebesgue integrable functions. More precisely, we are interested in sufficient… CONTINUE READING