Multiple solutions for asymptotically q ‐linear ( p , q )‐Laplacian problems

Existence of weak solutions for a class of (p,q)$(p,q)$-Laplacian systems

Positive solutions for a class of q-fractional boundary value problems with p-Laplacian

By meaning of the upper and lower solutions method, we study the existence of positive solutions for a class of q-fractional boundary value problems with p-Laplacian. c ©2015 All rights reserved.

Existence of Solutions to Indefinite Quasilinear Elliptic Problems of P-q-laplacian Type

We study the indefinite quasilinear elliptic problem −∆u−∆pu = a(x)|u|q−2u− b(x)|u|s−2u in Ω,

Multiple Solutions for Asymptotically Linear Resonant Elliptic Problems

In this paper we establish the existence of multiple solutions for the semilinear elliptic problem (1.1) −∆u = g(x, u) in Ω, u = 0 on ∂Ω, where Ω ⊂ RN is a bounded domain with smooth boundary ∂Ω, a function g: Ω×R→ R is of class C1 such that g(x, 0) = 0 and which is asymptotically linear at infinity. We considered both cases, resonant and nonresonant. We use critical groups to distinguish the c...

Existence of Periodic Solutions for a Class of Asymptotically p-Linear Discrete Systems Involving p-Laplacian