Nontrivial solutions of superlinear p-Laplacian equations

56 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Morse Theoretic Aspects of $p$-Laplacian Type Operators (2010, background): “[72] Jia Quan Liu and Shu Jie Li.”
On ground states of superlinear p-Laplacian equations in RN (2010, methodology): “For quasilinear elliptic problems setting on a bounded domain, the condition (f3) is also used in [22] to obtain infinitely many solutions and in [ 13 ] to compute the critical groups of Φ at infinity and obtain nontrivial solutions via Morse theory.”
N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition (2013, background): “Recently, the authors of [14] have used the following condition: There exists θ ≥ 1 such that θG(x, t) ≥ G(x, st) for all (x, t) ∈ Ω × R and s ∈ [0, 1] where G(x, t) = f (x, t)t − pF(x, t), to compute the critical groups of the functional J at infinity, and obtain one nontrivial solution of (1.”