Results 31 to 40 of about 158 (97)

Concentration–Compactness Principle to a Weighted Moser–Trudinger Inequality and Its Application

Journal of Mathematics, Volume 2025, Issue 1, 2025.
We employ level‐set analysis of functions to establish a sharp concentration–compactness principle for the Moser–Trudinger inequality with power weights in R+2. Furthermore, we systematically prove the existence of ground state solutions to the associated nonlinear partial differential equation.
Yubo Ni, Agacik Zafer
wiley   +1 more source

Existence results for nonhomogeneous Choquard equation involving p-biharmonic operator and critical growth

Demonstratio Mathematica
In this article, we are interested in the existence of nontrivial solutions for the following nonhomogeneous Choquard equation involving the pp-biharmonic operator: M∫Ω∣Δu∣pdxΔp2u−Δpu=λ(∣x∣−μ⁎∣u∣q)∣u∣q−2u+∣u∣p*−2u+f,inΩ,u=Δu=0,on∂Ω,\left\{\begin{array}{l}
Hai Quan, Zhang Jing
doaj   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +2 more
doaj   +1 more source

Energy-variational solutions for viscoelastic fluid models

Advances in Nonlinear Analysis
In this article, we introduce the concept of energy-variational solutions for a class of nonlinear dissipative evolutionary equations, which turns out to be especially suited to treat viscoelastic fluid models.
Agosti Abramo, Lasarzik Robert, Rocca Elisabetta   +2 more
doaj   +1 more source

Existence of multiple solutions of p-fractional Laplace operator with sign-changing weight function

Advances in Nonlinear Analysis, 2015
In this article, we study the following p-fractional Laplacian equation: (Pλ)-2∫ℝn|u(y)-u(x)|p-2(u(y)-u(x))|x-y|n+pαdy=λ|u(x)|p-2u(x)+b(x)|u(x)|β-2u(x)inΩ,u=0inℝn∖Ω,u∈Wα,p(ℝn),$ (P_{\lambda }) \quad -2\int _{\mathbb {R}^n}\frac{|u(y)-u(x)|^{p-2}(u(y)-u(x)
Goyal Sarika, Sreenadh Konijeti
doaj   +1 more source

Infinitely-many solutions for subquadratic fractional Hamiltonian systems with potential changing sign

Advances in Nonlinear Analysis, 2015
In this paper we are concerned with the existence of infinitely-many solutions for fractional Hamiltonian systems of the form tD∞α(-∞Dtαu(t))+L(t)u(t)=∇W(t,u(t))${\,}_tD^{\alpha }_{\infty }(_{-\infty }D^{\alpha }_{t}u(t))+L(t)u(t)=\nabla W(t,u(t ...
Zhang Ziheng, Yuan Rong
doaj   +1 more source

Lions-type theorem of the p-Laplacian and applications

Advances in Nonlinear Analysis, 2021
In this article, our aim is to establish a generalized version of Lions-type theorem for the p-Laplacian. As an application of this theorem, we consider the existence of ground state solution for the quasilinear elliptic equation with the critical growth.
Su Yu, Feng Zhaosheng
doaj   +1 more source

RİJİT ZEMİN ÜZERİNE OTURMUŞ ÖNGERİLMELİ PLAĞIN ZORLANMIŞ TİTREŞİM PROBLEMİNİN SONLU ELEMAN MODELLENMESİ

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
Özet: Rijit yarı-düzlem üzerine oturmuş öngerilmeli şerit plağın zorlanmış titreşim probleminin üç boyutlu doğrusallaştırılmış elastodinamik teorisi çerçevesinde matematik formülasyonu verilmiştir.
Mustafa ERÖZ
doaj  

Ground state solutions for a class of fractional Schrodinger-Poisson system with critical growth and vanishing potentials

Advances in Nonlinear Analysis, 2021
In this paper, we study the fractional Schrödinger-Poisson ...
Meng Yuxi, Zhang Xinrui, He Xiaoming
doaj   +1 more source

Periodic solutions for a coupled system of wave equations with x-dependent coefficients

Advanced Nonlinear Studies
This paper is concerned with the periodic solutions for a coupled system of wave equations with x-dependent coefficients. Such a model arises naturally when two waves propagate simultaneously in the nonisotrpic media.
Deng Jiayu, Ji Shuguan
doaj   +1 more source