Photo from wikipedia
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… Click to show full 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 weak solutions, which shows how the sign-changing weight function affect the existence and multiplicity of weak solutions to the problem.
Keywords:
sign changing;
weight function;
changing weight;
weak solutions
Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Complex Variables and Elliptic Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!