We study the existence of ground state solutions for a class of discrete nonlinear
Schrödinger equations with a sign-changing potential V that converges at infinity and a …

We show the existence of positive solutions for a class of p & q problems given by {− div (a
(|∇ u| p)|∇ u| p− 2∇ u)+ V (x) b (| u| p)| u| p− 2 u= μ f (u)+ uq∗− 1 in RN, u∈ D 1, p (RN)∩ D …

We show the existence of positive solutions for a class of p\&q problems given by-div\left
(a\left (| ∇ u|^ p\right)| ∇ u|^ p-2 ∇ u\right)+ V (z) b\left (| u|^ p\right)| u|^ p-2 u= f (u)\in R^N,\u …

We are interested in quasilinear problems as follows: p\left {-Δ uu Δ (u^ 2)=-λ| u|^ q-2 u+| u|^
22^*-2 u+ μ g (x, u),\quad in~ Ω,\u= 0,\quad on~ ∂ Ω,.-Δ uu Δ (u 2)=-λ| u| q-2 u+| u| 22∗-2 u+ …

An abstract linking result for Cerami sequences is proved without the Cerami condition. It is
applied directly in order to prove the existence of critical points for a class of indefinite …

This paper concerns the existence of a nontrivial solution for the following problem (P){− Δ
u+ V (x) u∈∂ u F (x, u) ae in RN, u∈ H 1 (RN), where F (x, t)=∫ 0 tf (x, s) ds, f is a …

Considering the radial nonlinear Schrödinger equation (P r)− Δ u+ V (x) u= g (x, u) in RN,
N≥ 3 we aim to find a radial nontrivial solution for it, where V changes sign ensuring …

We present a new approach to solve an indefinite Schrödinger Equation autonomous at
infinity, by identifying the relation between the arrangement of the spectrum of the concerned …

This article focuses on studying the existence of solutions for the following indefinite
Choquard equation in RN: where N≥ 2. Here, α is a positive constant satisfying 0< α< N …

We prove the existence results for the Schr\" odinger equation of the form $$-\Delta u+ V (x)
u= g (x, u),\quad x\in\mathbb {R}^ N, $$ where $ g $ is superlinear and subcritical in some …