Infinitely Many Solutions for a Semilinear Elliptic Equation with Sign-Changing Potential

Infinitely Many Solutions for a Semilinear Elliptic Equation with Sign-Changing Potential

Infinitely many solutions for a bi-nonlocal‎ ‎equation with sign-changing weight functions

In this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. We use some natural constraints and the Ljusternik-Schnirelman critical point theory on C1-manifolds, to prove our main results.

infinitely many solutions for a bi-nonlocal‎ ‎equation with sign-changing weight functions

in this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. we use some natural constraints and the ljusternik-schnirelman critical point theory on c1-manifolds, to prove our main results.

Infinitely Many Solutions for Elliptic Boundary Value Problems with Sign-changing Potential

In this article, we study the elliptic boundary value problem −∆u + a(x)u = g(x, u) in Ω,

Infinitely Many Solutions of Superlinear Elliptic Equation

and Applied Analysis 3 Lemma 6 (see [17]). Assume that |Ω| < ∞, 1 ≤ p, r ≤ ∞, f ∈ C(Ω×R), and |f(x, u)| ≤ c(1+|u|). Then for every