## Found 169 Documents (Results 1–100)

100
MathJax

### Rearrangement free method for Hardy-Littlewood-Sobolev inequalities on $$\mathbb{S}^n$$. (English)Zbl 07568026

MSC:  39B62 26A33 26D10
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### On multilinear Beckner systems. (English)Zbl 07562102

MSC:  35Jxx 35Bxx 45Gxx
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MSC:  45G15
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### Ground states of coupled critical Choquard equations with weighted potentials. (English)Zbl 07485610

Reviewer: Chao Ji (Shanghai)
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### High and low perturbations of Choquard equations with critical reaction and variable growth. (English)Zbl 07481828

MSC:  47G20 35B38 58E50
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### Existence to fractional critical equation with Hardy-Littlewood-Sobolev nonlinearities. (English)Zbl 07558062

MSC:  35B33 35A15 35R11
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### Reversed Stein-Weiss inequalities with Poisson-type kernel and qualitative analysis of extremal functions. (English)Zbl 07539314

MSC:  42B37 35B40 45G15
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### Existence of solutions for Choquard type elliptic problems with doubly critical nonlinearities. (English)Zbl 1487.35012

MSC:  35A15 35B33 35D30
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### Generalized logarithmic Hardy-Littlewood-Sobolev inequality. (English)Zbl 1483.35006

Reviewer: Meng Qu (Wuhu)
MSC:  35A23
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### Semiclassical states for critical Choquard equations with critical frequency. (English)Zbl 1479.35405

MSC:  35J61 35J75 35A15
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MSC:  35J60

### Global existence and extinction of solutions to a fast diffusion $$p$$-Laplace equation with special medium void. (English)Zbl 1473.35044

MSC:  35B40 35K20 35K92
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### Sharp Sobolev inequalities on the sphere: subcritical case. (English)Zbl 07365843

MSC:  46E35 26D10
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### Nonlinear Choquard equations with Hardy-Littlewood-Sobolev critical exponents. (English)Zbl 1466.35164

MSC:  35J60 35A01 35J20
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### Integrability of solutions for the integral system. (English)Zbl 1469.45007

MSC:  45G15 26D10
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### Local Hardy-Littlewood-Sobolev inequalities for canceling elliptic differential operators. (English)Zbl 1465.46037

Reviewer: Meng Qu (Wuhu)
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MSC:  42B35
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### Critical growth elliptic problems with Choquard type nonlinearity: a survey. (English)Zbl 07357287

Manchanda, Pammy (ed.) et al., Mathematical modelling, optimization, analytic and numerical solutions. Selected papers based on the presentations at the international conference in conjunction with 14th biennial conference of ISIAM, Guru Nanak Dev University, Amritsar, India, February 2–4, 2018. Singapore: Springer. Ind. Appl. Math., 197-229 (2020).
MSC:  65-XX
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### Asymptotic behavior of solutions for nonlinear integral equations with Hénon type on the unit ball. (English)Zbl 1474.45083

MSC:  45M05 45J05
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### The Brezis-Nirenberg type double critical problem for the Choquard equation. (English)Zbl 1458.35196

MSC:  35J91 35B33 35A15
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### Euler-Lagrange equations associated with extremal functions of several nonlocal inequalities. (English)Zbl 1464.26015

MSC:  26D10 26A33 35A23
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### The ground state solution of critical Hartree system. (English)Zbl 1463.35479

MSC:  35Q85 35A15 35B09
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### Negative power nonlinear integral equations on bounded domains. (English)Zbl 1464.45007

MSC:  45G10 45G05 35J60
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### A nonexistence result for discrete systems related to the reversed Hardy-Littlewood-Sobolev inequality. (English)Zbl 1444.26039

MSC:  26D15 40B05 47J20
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### Existence and nonexistence results for Kohn Laplacian with Hardy-Littlewood-Sobolev critical exponents. (English)Zbl 1445.35293

MSC:  35R03 35J61 35J25
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### Existence of positive solutions to integral equations with weights. (English)Zbl 1450.45004

MSC:  45G10 45M20 26D10
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### Sharp Sobolev inequalities on the complex sphere. (English)Zbl 1437.26019

MSC:  26D10 35A23
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### Existence of solution for nonlinear integral equations of Hénon type in critical case. (English)Zbl 1448.45004

MSC:  45G10 46M20
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### Existence of solutions for critical Choquard equations via the concentration-compactness method. (English)Zbl 1437.35213

MSC:  35J20 35J60 35A15
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### Hardy-Littlewood-Sobolev type inequalities associated with the Weinstein operator. (English)Zbl 1427.42029

MSC:  42B35 42B25 42B10
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### Subcritical approach to conformally invariant extension operators on the upper half space. (English)Zbl 1435.35191

MSC:  35Jxx 45Gxx 31-XX
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### Least energy solutions for coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents. (English)Zbl 1427.35066

MSC:  35J60 35A15
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### Reversed Hardy-Littlewood-Sobolev inequality on homogeneous Lie groups. (Russian. English summary)Zbl 07401946

MSC:  22E30 43A80

### Necessary and sufficient conditions for the boundedness of the Gegenbauer-Riesz potential in modified Morrey spaces. (English)Zbl 1456.42026

MSC:  42B30 42B25
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### Symmetry and monotonicity of positive solutions for an integral system with negative exponents. (English)Zbl 1446.45005

MSC:  45G15 45M20 46E35
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### Achievability of a supremum for the Hardy-Littlewood-Sobolev inequality with supercritical exponent. (English)Zbl 1437.35207

MSC:  35J20 35J25 35J30
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### Infinitely many solutions for a class of critical Choquard equation with zero mass. (English)Zbl 1433.35035

MSC:  35J20 35J60 35A15
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### Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. (English)Zbl 1416.22012

MSC:  22E30 43A80
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### Nonlinear integral equations on bounded domains. (English)Zbl 1412.45010

MSC:  45G05 35A01 35B44
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### Generalized Choquard equations driven by nonhomogeneous operators. (English)Zbl 1411.35124

MSC:  35J62 35J60 35A15
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MSC:  31B15
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### Blowup analysis for integral equations on bounded domains. (English)Zbl 1410.45005

MSC:  45G05 35B09 35B44
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### Wolff potentials and regularity of solutions to integral systems on spaces of homogeneous type. (English)Zbl 1409.35013

MSC:  35A23 45F05
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### On sharp inequalities on nilpotent Lie groups. (Chinese. English summary)Zbl 07494607

MSC:  26D10 22E25
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### The minimizing problem involving $$p$$-Laplacian and Hardy-Littlewood-Sobolev upper critical exponent. (English)Zbl 1413.35183

MSC:  35J50 35J60
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### Reverse Stein-Weiss inequalities and existence of their extremal functions. (English)Zbl 1418.42041

MSC:  42B99 35B40
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### On critical Choquard equation with potential well. (English)Zbl 1398.35064

MSC:  35J60 35J20
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### The Brezis-Nirenberg type critical problem for the nonlinear Choquard equation. (English)Zbl 1397.35087

MSC:  35J25 35J60
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### A multi-species chemotaxis system: Lyapunov functionals, duality, critical mass. (English)Zbl 1395.92022

MSC:  92C17 35K51 37B25
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### A strongly indefinite Choquard equation with critical exponent due to the Hardy-Littlewood-Sobolev inequality. (English)Zbl 1391.35126

MSC:  35J20 35J60
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MSC:  26D15
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MSC:  46E35
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### Sharp reversed Hardy-Littlewood-Sobolev inequality on $$\mathbf{R}^{n}$$. (English)Zbl 1379.26027

MSC:  26D15 52A40
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### Corrigendum to: “Subcritical approach to sharp Hardy-Littlewood-Sobolev type inequalities on the upper half space”. (English)Zbl 1423.46048

MSC:  46E30 26D10
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### Subcritical approach to sharp Hardy-Littlewood-Sobolev type inequalities on the upper half space. (English)Zbl 1377.46018

Adv. Math. 312, 1-45 (2017); corrigendum ibid. 317, 640-644 (2017).
MSC:  46E30 26D10
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MSC:  42B20

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### Some properties of positive solutions for an integral system with the double weighted Riesz potentials. (English)Zbl 1352.45014

MSC:  45M20 45M05 45G15
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### Liouville type theorems for singular integral equations and integral systems. (English)Zbl 1352.45015

MSC:  45M20 45G05 45G15
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### Multilinear embedding and Hardy’s inequality. (English)Zbl 1345.42027

Li, Junfeng (ed.) et al., Some topics in harmonic analysis and applications. Special volume dedicated to Shanzhen Lu on the occasion of his 75th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-315-9/pbk). Advanced Lectures in Mathematics (ALM) 34, 1-26 (2016).
MSC:  42B99 42B20 44A35
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### Some properties of solutions for a nonlinear integral system. (English)Zbl 1382.45005

MSC:  45G15 45M05 45M20
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MSC:  26D15
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### Remainder terms for several inequalities on some groups of Heisenberg-type. (English)Zbl 1357.43006

MSC:  43A75 26D10 35R03
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### Symmetry of positive solutions of fractional Laplacian equation and system with Hardy-Sobolev exponent on the unit ball. (English)Zbl 1338.35487

MSC:  35R11 35S05 35B06
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### A note on the free energy of the Keller-Segel model for subcritical and supercritical cases. (English)Zbl 1331.35061

MSC:  35B45 35J47 92C17
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### Liouville theorems for fractional Hénon equation and system on $$\mathbb{R}^n$$. (English)Zbl 1320.35113

MSC:  35B53 35B06 35R11
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### Threshold of global behavior of solutions to a degenerate drift-diffusion system in between two critical exponents. (English)Zbl 1326.35179

MSC:  35K65 35B33 35A15
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### The Liouville type theorem and local regularity results for nonlinear differential and integral systems. (English)Zbl 1315.45004

MSC:  45G15 45M20 26D15
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### Sharp Hardy-Littlewood-Sobolev inequality on the upper half space. (English)Zbl 1308.42016

MSC:  42B25 26D15
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### Functionals for multilinear fractional embedding. (English)Zbl 1345.46027

MSC:  46E35 42B10 35A15
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MSC:  45G15
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### Liouville theorem for an integral system on the upper half space. (English)Zbl 1304.35160

MSC:  35B53 35B65 45G15
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MSC:  26D15
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### An optimal summation interval and nonexistence of positive solutions to a discrete system. (English)Zbl 1340.45005

MSC:  45G05 45M20
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### Optimal integrability of some system of integral equations. (English)Zbl 1311.45013

MSC:  45G15 45M05 45M20
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### Rotationally symmetry of positive solutions for a system of integral equations on upper half spaces. (Chinese. English summary)Zbl 1313.45016

MSC:  45M20 45G15

### Necessary and sufficient conditions of doubly weighted Hardy-Littlewood-Sobolev inequality. (English)Zbl 1313.42072

MSC:  42B25 42B35
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