Results 111 to 120 of about 320,316 (300)
Electronic Journal of Differential EquationsIn this article we study the existence of normalized solutions to the Kirchhoff-Boussinesq equation under the mass constraint $\|u\|_{2}=c$. In the $L^{2}$-subcritical regime, we apply Ekeland's variational principle and concentration compactness method ...
Chunling Tao, Lintao Liu, Kaimin Teng
doaj
Normalized solutions for the Kirchhoff equation with combined nonlinearities in ℝ4
Advances in Nonlinear AnalysisIn this article, we study the following Kirchhoff equation with combined nonlinearities: −a+b∫R4∣∇u∣2dxΔu+λu=μ∣u∣q−2u+∣u∣2u,inR4,∫R4∣u∣2dx=c2,\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R}}}^{4}}{| \nabla u| }^{2}{\rm ...
Qiu Xin +3 more
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Concentration of solutions with prescribed mass for -Laplacian equations with nonlocal reaction
Bulletin of Mathematical SciencesIn this paper, we consider the following [Formula: see text]-Laplacian equation with nonlocal reaction L(u)+V(𝜖x)(|u|p−2u+|u|q−2u)=λ|u|p−2u+(Iα∗|u|pα)|u|pα−2u+(Iα∗F(u))f(u)in ℝN,∫ℝN|u|pdx=cpin ℝN, where [Formula: see text], [Formula: see text] [Formula ...
Li Cai, Peng Ji, Peng Jin
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On viscosity solutions and the normalized p-Laplace operator
, 2017 In this doctoral thesis we consider a special type of degenerate elliptic partial differential equations of second order for a rather general right-hand side. We introduce the suitable notion of viscosity solutions. %and derive properties of these.
Kühn, Michael
core
Normalized solutions of mass supercritical Schrodinger-Poisson equation with potential [PDF]
In this paper we prove the existence of normalized solutions $(λ,u)\subset (0,\infty)\times H^1(\mathbb{R}^3)$ to the following Schrödinger-Poisson equation $$ \begin{cases} -Δu+V(x)u+λu+(|x|^{-1}\ast u^2)u=|u|^{p-2}u&\text{in}\,\mathbb{R}^{3},\\ u>0 ...
Rizzi, Matteo, Peng, Xueqin
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Molecular Oncology, EarlyView.In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera +11 more
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Normalized solutions of critical Schrödinger system involving fractional p-Laplacian
Bulletin of Mathematical SciencesIn this paper, we study the normalized solutions of the following critical Schrödinger system involving fractional p-Laplacian: (−Δ)psu+𝒱(𝜀x)|u|p−2u=λ1|u|p−2u+μ1|u|𝔭1−2u+βr1|u|r1−2u|v|r2in ℝN,(−Δ)psv+𝒲(𝜀x)|v|p−2v=λ2|v|p−2v+μ2|v|𝔭2−2v+βr2|u|r1|v|r2−2vin ...
Yuxuan Tong, Xiaojun Chang, Sihua Liang
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CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3
Molecular Oncology, EarlyView.PAX8 is a lineage‐specific master regulator of transcription in high‐grade serous ovarian cancer (HGSC) progression. We show for the first time that PAX8 facilitates proliferation and metastasis by repressing the cell autonomous tumor suppressor CCDC80 and inducing B7‐H3 expression.
Aya Saleh +12 more
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E2A selectively regulates TGF‐β–induced apoptosis in KRAS‐mutant non‐small cell lung cancer
Molecular Oncology, EarlyView.Ability to induce apoptosis by TGF‐β is frequently lost in advanced lung adenocarcinoma despite intact TGF‐β signaling. We identify E2A as a mutant KRAS–dependent mediator of resistance to TGF‐β–induced apoptosis. TGF‐β induces E2A via SMAD3 in mutant KRAS cells, and E2A silencing restores apoptosis and enhances radiation response in cell lines ...
Sergei Chuikov +3 more
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Demonstratio MathematicaThis article is devoted to the study of the existence and nonexistence of normalized solutions for the following biharmonic Schrödinger equation with combined power-type ...
Liu Xiang, Huang Na, Lei Chunyu
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