Spectrum and constant sign solutions for a fractional Laplace problem with sign-changing weight
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DOI: 10.1016/j.jmaa.2019.123528
Abstract: Abstract In this paper, we study the spectrum of the fractional Laplace operator with sign-changing weight and show that there exist two simple, isolated principal eigenvalues λ 1 + and λ 1 − . By… read more here.
Keywords: constant sign; fractional laplace; sign solutions; sign ... See more keywords
Multiplicity of weak solutions to a fourth-order elliptic equation with sign-changing weight function
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2019.1662405
Abstract: ABSTRACT In this paper, a fourth-order elliptic equation with a sign-changing weight function is investigated. By the modified logarithmic Sobolev inequality and Nehari manifold it is shown that the problem admits at least two nontrivial… read more here.
Keywords: sign changing; weight function; changing weight; weak solutions ... See more keywords