This article is dedicated to Emmanuele Di Benedetto, great mathematician, colleague,
friend. In the spirit to treat a subject that in the last years attracted the interest of several …

We consider the following class of fractional problems with unbalanced growth:{(− Δ) ps
u+(− Δ) qs u+ V (ε x)(| u| p− 2 u+| u| q− 2 u)= f (u) in RN, u∈ W s, p (RN)∩ W s, q (RN), u> 0 …

In this work we consider the following class of fractional $ p\&q $ Laplacian problems\begin
{equation*}(-\Delta) _ {p}^{s} u+ (-\Delta) _ {q}^{s} u+ V (\varepsilon x)(| u|^{p-2} u+| u|^{q-2} …

We deal with the following nonlinear problem involving fractional p&q Laplacians:(−∆) s
pu+(−∆) s qu+| u| p− 2u+| u| q− 2u= λh (x) f (u)+| u| q∗ s− 2 u in RN, where s∈(0, 1), 1< p< …

We prove existence results in all of R^ N RN for an elliptic problem of (p, q)-Laplacian type
involving a critical term, nonnegative weights and a positive parameter λ λ. In particular …

In this paper, we are mainly interested in existence properties for a class of nonlinear PDEs
driven by the (p, q)-Laplace operator where the reaction combines a power-type nonlinearity …

We prove existence and multiplicity results in RN for an elliptic problem of (p, q)-Laplacian
type with a nonlinearity involving both a critical term and a subcritical term with a positive …

In this paper, we study the multiplicity and concentration of positive solutions for the
following (p, q)-Laplacian problem:{-Δ _ p u-Δ _ q u+ V (ε x)\left (| u|^ p-2 u+| u|^ q-2 u\right) …

In this paper we prove the existence of at least three nontrivial solutions for the class of p & q
problems given by− div (a (|∇ u| p)|∇ u| p− 2∇ u)+ V (x) b (| u| p)| u| p− 2 u= K (x) f (u), in …

We consider the following fractional p\& qp & q Laplacian problem with critical Sobolev–
Hardy exponents {(-Δ)^ s _ p u+(-Δ)^ s _ qu=| u|^ p^* _ s (α)-2 u| x|^ α+ λ f (x, u) & in Ω\u= 0 & …