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Nonlinear Analysis: Theory, Methods & Applications, ISSN 0362-546X, 06/2015, Volume 119, pp. 330 - 340
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 01/2020, Volume 190, p. 111597
We consider the two-dimensional mean field equation of the equilibrium turbulence with variable intensities and Dirichlet boundary condition on a pierced... 
Blowing-up solutions | Mean field equation | Pierced domain | MATHEMATICS | STATIONARY FLOWS | MATHEMATICS, APPLIED | EXISTENCE RESULT | TOPOLOGICAL-DEGREE | 2-DIMENSIONAL EULER EQUATIONS | BLOW-UP | SURFACES | BUBBLES | Domains | Boundary conditions | Dirichlet problem | Turbulent flow
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 2/2018, Volume 57, Issue 1, pp. 1 - 20
We establish the existence of a positive fully nontrivial solution (u, v) to the weakly coupled elliptic system $$\begin{aligned} {\left\{ \begin{array}{ll}... 
35J20 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 35B33 | Mathematics | 35B40 | 35J47 | 35B08 | MATHEMATICS | MATHEMATICS, APPLIED | R-N | WAVES | NONLINEAR SCHRODINGER-EQUATIONS | CRITICAL EXPONENT | BOUND-STATES | POSITIVE SOLUTIONS
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 10/2019, Volume 58, Issue 5, pp. 1 - 28
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 7/2013, Volume 209, Issue 1, pp. 287 - 320
Journal Article
Bollettino dell'Unione Matematica Italiana, ISSN 1972-6724, 9/2017, Volume 10, Issue 3, pp. 355 - 368
We consider the Neumann problem $$\begin{aligned} - \Delta v + v= v^{q-1} \quad \text { in } \; \mathcal {D}, \quad v > 0 \quad \text { in } \; \mathcal {D},\... 
35J20 | 35J60 | Blowing-up solutions | Mathematics, general | Mathematics | Supercritical problem | Boundary layer
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 12/2016, Volume 55, Issue 6, pp. 1 - 31
We study the existence of steady states to the Keller–Segel system with linear chemotactical sensitivity function on a smooth bounded domain in $$\mathbb... 
Secondary 35B33 | 35J20 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | Primary 35J60 | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | STEADY-STATES | UP SOLUTIONS | BUBBLING SOLUTIONS | MASS | ATTRACTION | DIFFUSION | BLOW-UP
Journal Article
细胞研究:英文版, ISSN 1001-0602, 2011, Volume 21, Issue 10, pp. 1470 - 1486
Neuroblastoma (NB)-associated endothelial microvesseis (EMs) may be lined by tumor-derived endothelial cells (TECs), that are genetically unstable and... 
跨国公司 | 祖细胞 | 转录因子 | 血管内皮细胞 | 肿瘤细胞 | 无血清培养基 | 血管内皮生长因子 | 神经母细胞瘤 | neuroblastoma | progenitor cells | tumor-derived endothelium | Tenascin C | vascular mimicry | INITIATING CELLS | DIFFERENTIAL-DIAGNOSIS | SELF-RENEWAL | CANCER | CELL BIOLOGY | STEM-LIKE CELLS | GANGLIOSIDE GD2 | STEM/PROGENITOR CELLS | EXPRESSION | PERIVASCULAR NICHE | TENASCIN-C | Oncogene Proteins - genetics | Tenascin - genetics | Humans | Child, Preschool | Infant | Male | Transplantation, Heterologous | Tenascin - metabolism | Neovascularization, Pathologic - pathology | Octamer Transcription Factor-3 - genetics | Neoplasm Metastasis | Neoplastic Stem Cells - metabolism | Bone Marrow - metabolism | Neoplastic Stem Cells - pathology | Female | Cell Differentiation | N-Myc Proto-Oncogene Protein | Nuclear Proteins - genetics | Child | Neuroblastoma - pathology | Endothelial Cells - metabolism | Neuroblastoma - genetics | Oncogene Proteins - metabolism | Nuclear Proteins - metabolism | Drug Resistance, Neoplasm - genetics | Animals | Gene Amplification | Mice, Nude | Bone Marrow - pathology | Neuroblastoma - drug therapy | Octamer Transcription Factor-3 - metabolism | Mice | Neovascularization, Pathologic - metabolism | Neuroblastoma - metabolism | Endothelial Cells - pathology | Original
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 04/2016, Volume 260, Issue 7, pp. 6232 - 6266
We consider the SU(n+1) Toda system(Sλ){Δu1+2λeu1−λeu2−⋯−λeuk=0inΩ,Δu2−λeu1+2λeu2−⋯−λeuk=0inΩ,⋮⋱⋮Δuk−λeu1−λeu2−⋯+2λeuk=0inΩ,u1=u2=⋯=uk=0on∂Ω. If 0∈Ω and Ω is... 
Toda system | Multiple blow-up points | Blow-up solutions
Journal Article
Communications in Partial Differential Equations, ISSN 0360-5302, 09/2016, Volume 41, Issue 9, pp. 1379 - 1425
Journal Article
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, ISSN 0308-2105, 01/2015, Volume 145, Issue 1, pp. 203 - 222
We consider the boundary-value problem -Delta u+u = lambda e(u) in B-r0, partial derivative(nu)u = 0 on partial derivative B-r0, where B-r0 is the ball of... 
EXISTENCE | MATHEMATICS | RADIAL SOLUTIONS | MATHEMATICS, APPLIED | BEHAVIOR | NONLINEARITIES | PARABOLIC-ELLIPTIC SYSTEM | MODELING CHEMOTAXIS | DIFFUSION | POINT DYNAMICS | SINGULAR LIMIT | AGGREGATION | Boundary conditions | Boundary value problems | Mathematics | Derivatives | Equivalence | Mathematical analysis | Steady state
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 01/2018, Volume 116, Issue 1, pp. 33 - 67
We consider the following critical weakly coupled elliptic system −Δui=μi|ui|2∗−2ui+∑j≠iβij|uj|2∗2|ui|2∗−42uiinΩεui=0on∂Ωε,i=1,⋯,m,in a domain Ωε⊂RN, N=3,4,... 
35J20 | 35J15 | 35J50 (primary) | PHASE-SEPARATION | TOPOLOGY | MATHEMATICS | NONLINEAR SCHRODINGER-EQUATIONS | SYMMETRY | CRITICAL EXPONENT | POSITIVE SOLUTIONS | GROWTH | LEAST ENERGY SOLUTIONS | COUPLINGS | DOMAINS
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 11/2017, Volume 263, Issue 9, pp. 5902 - 5938
Let (M,g) be an n-dimensional compact Riemannian manifold. Let h be a smooth function on M and assume that it has a critical point ξ∈M such that h(ξ)=0 and... 
Prescribed scalar curvature | Blow-up phenomena | MATHEMATICS | UP SOLUTIONS | MULTIPLICITY | S-N | POSITIVE SOLUTIONS | ELLIPTIC-EQUATIONS | BLOW-UP
Journal Article
Potential Analysis, ISSN 0926-2601, 07/2017, Volume 47, Issue 1, pp. 53 - 102
Let (M, g) be a compact smooth connected Riemannian manifold (without boundary) of dimension N ae 7. Assume M is symmetric with respect to a point xi (0) with... 
Blow-up points | Linear perturbation | Yamabe problem | MATHEMATICS | CONFORMALLY FLAT MANIFOLDS | NONLINEAR ELLIPTIC-EQUATIONS | PROOF | SCALAR CURVATURE | CRITICAL SOBOLEV EXPONENT | COMPACTNESS | RIEMANNIAN-MANIFOLDS
Journal Article
Nonlinearity, ISSN 0951-7715, 01/2016, Volume 29, Issue 2, pp. 271 - 297
Journal Article
SIAM Journal on Applied Mathematics, ISSN 0036-1399, 2015, Volume 75, Issue 2, pp. 726 - 744
Journal Article
PLoS ONE, ISSN 1932-6203, 04/2012, Volume 7, Issue 4, p. e35312
Background: Abdominal aortic aneurysm (AAA) is a complex multi-factorial disease with life-threatening complications. AAA is typically asymptomatic and its... 
PATHOGENESIS | SEQUENCE VARIANT | HUMAN-DISEASE | DNA | INFLAMMATION | MULTIDISCIPLINARY SCIENCES | LENGTH | MUTATIONS | MEDIATORS | LINKAGE | T-CELLS | Lymphocytes - metabolism | Endothelial Cells - metabolism | Humans | Oxidative Stress - physiology | In Situ Hybridization, Fluorescence | Aortic Aneurysm, Abdominal - genetics | Muscle, Smooth, Vascular - cytology | Case-Control Studies | Aortic Aneurysm, Abdominal - metabolism | Fluorescent Antibody Technique | DNA Damage - genetics | Telomere - metabolism | In Vitro Techniques | Myocytes, Smooth Muscle - metabolism | Telomere - genetics | Medical research | DNA damage | Smooth muscle | Aortic aneurysms | Fluorescent antibody technique | Muscle proteins | Risk factors | Endothelium | Telomeres | Lymphocytes | Medicine, Experimental | Immunofluorescence | Health aspects | Oxidative stress | Senescence | Control methods | Laboratories | Pathogenesis | Aneurysm | Aneurysms | Staining | Oncology | Hybridization | Neuroblastoma | Blood | Actin | Atherosclerosis | Extracellular matrix | Aorta | Damage accumulation | Telomerase | Deoxyribonucleic acid--DNA | Statistical analysis | Internal medicine | Complications | Legal medicine | Neutrophils | Muscles | Keratinocytes | Inflammation | Calibration | Metabolism | Risk analysis | Patients | Endothelial cells | Abdomen | Medicine | Studies | Hospitals | Deoxyguanosine | Damage detection | Immunoreactivity | Deoxyribonucleic acid
Journal Article