We study the normalized solutions of the fractional nonlinear Schrödinger equations with
combined nonlinearities (-Δ)^ su= λ u+ μ| u|^ q-2 u+| u|^ p-2 u\quad in~ R^ N,(-Δ) su= λ u+ μ …

In this paper, we study the p-Laplacian equation with a L p-norm constraint: $\begin {cases}-
{{\Delta}} _ {p} u=\lambda\vert u {\vert}^{p-2} u+\mu\vert u {\vert}^{q-2} u+ g (u)\quad\text …

We investigate the existence and concentration of normalized solutions for a p-Laplacian
problem with logarithmic nonlinearity of type {− ε p Δ p u+ V (x)| u| p− 2 u= λ| u| p− 2 u+| u| p …

We obtain exact necessary and sufficient conditions for existence and uniqueness of
solutions of a class of homothetic recursive utility models postulated by Epstein and Zin. The …

It has become increasingly clear that economies can fruitfully be viewed as networks,
consisting of millions of nodes (households, firms, banks, etc.) connected by business …

The theory of partial differential equations (PDE) is a vast and exciting area of mathematics.
PDE started with applications in mind. In the late eighteenth to early nineteenth centuries …

In this paper, we study the nonlinear Schrödinger equation with L 2-norm constraint:-Δ u= λ
u+| u| p-2 u in Ω, u= 0 on∂ Ω,∫ Ω| u| 2 dx= a 2, where N≥ 3, Ω⊆ RN is an exterior domain …

In this paper, we look for solutions to the following fractional nonlinear Schrödinger
equations with prescribed L 2-norm constraint:(-Δ) su= λ u+| u| p-2 u in Ω, u= 0 on∂ Ω,∫ Ω …

With the rapid development of modern medicine, therapeutic schedules of brain-
metastasized non-small cell lung cancer (NSCLC) are expanding. To assist a patient who …

In this paper, we study a type of p-Laplacian equation-Δ pu= λ up-2 u+ uq-2 u, x∈ RN, with
prescribed mass∫ RN| u| p 1 p= c> 0, where 1< p< q< p∗:= pN Np, p< N, λ∈ R is a …