Existence results for a class of (p,q) Laplacian systems

Existence results of infinitely many solutions for a class of p(x)-biharmonic problems

The existence of infinitely many weak solutions for a Navier doubly eigenvalue boundary value problem involving the $p(x)$-biharmonic operator is established. In our main result, under an appropriate oscillating behavior of the nonlinearity and suitable assumptions on the variable exponent, a sequence of pairwise distinct solutions is obtained. Furthermore, some applications are pointed out.

Existence of three solutions for a class of fractional boundary value systems

In this paper, under appropriate oscillating behaviours of the nonlinear term, we prove some multiplicity results for a class of nonlinear fractional equations. These problems have a variational structure and we find three solutions for them by exploiting an abstract result for smooth functionals defined on a reflexive Banach space. To make the nonlinear methods work, some careful analysis of t...

Existence results for a class of nonlocal problems involving p-Laplacian

where Ω is a smooth bounded domain in R, 1 0, such that (M0) M(t) ≥ m0 for all t ≥ 0. f (x, t) : × R → R is a continuous function and satisfies the subcritical condition: ∣∣f (x, t)∣∣ ≤ C(|t|q−1 + 1), for some p < q ...

Existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects

This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more relaxed conditions by using the mountain pass theorem, a weak convergence argument, and a weak version of Lieb’s lemma. MSC: 34C37; 35A15; 37J45; 47J30

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