Results 31 to 40 of about 161 (97)

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
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Least energy sign-changing solutions for Schrödinger-Poisson systems with potential well

Advanced Nonlinear Studies, 2022
In this article, we investigate the existence of least energy sign-changing solutions for the following Schrödinger-Poisson system −Δu+V(x)u+K(x)ϕu=f(u),x∈R3,−Δϕ=K(x)u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u+K\left(x)\phi u=f\left(u),\hspace{1.
Chen Xiao-Ping, Tang Chun-Lei
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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
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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
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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
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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
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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
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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
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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
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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
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