Existence of multiple solutions for a class of -Laplacian systems

Multiplicity of Solutions for a Class of Non-Local Elliptic Operators Systems

“…In this paper, inspired by the ideas introduced in [1,3,12], we will show how the multiplicity of solutions of problem (1.1) changes as λ and µ vary. To the best of our knowledge, this is an interesting and new research topic for non-local operators of elliptic type.…”

“…where 2 * s1 = 2n/(n − 2s 1 ); (2) there exits a constant C > 1, depending only on n, s 1 , θ 1 and Ω, such that for any u ∈ X 0,K…”

Existence and multiplicity results for a class of degenerate quasilinear elliptic systems

“…In [1], Afrouzi et al motivated by the paper of Ou and Tang [15], obtained three solutions for problem (1.1) in the case h 1 = h 2 ≡ 1 as the parameters λ and µ approach λ 1 and µ 1 from the left, respectively. Inspired by [1,11,13,15,20] and [22], the goal of this paper is to prove some existence and multiplicity results involving eigenvalues for a class of degenerate elliptic systems.…”

Multiple Solution To (p,q)-laplacian Systems With Concave Nonlinearities

“…The functional corresponding to problems (1.1) is It is well known operator -Δ has a sequence of eigenvalues satisfying 0 < 1 < 2 < ⋯ < → +∞. For general , ∈ 1, +∞ , (−∆ , −∆ ) has a smallest eigenvalue, i.e., the principle value, 1 , which is positive, isolated, simple (see [2]) and admit the following variational characterization…”