Research Explorer

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Researcher

Aidyn Kassymov

Awards & Distinctions

20 Results

2024

Anisotropic Shannon inequality

Marianna ChatzakouAidyn KassymovMichael Ruzhansky

A1 Journal Article in OSAKA JOURNAL OF MATHEMATICS

2023

Non-blow-up and blow-up results to heat equations with logarithmic nonlinearity on stratified groups

Ardak KashkynbayevAidyn KassymovDurvudkhan Suragan

A1 Journal Article in QUAESTIONES MATHEMATICAE

Rayleigh–Faber–Krahn, Lyapunov and Hartmann–Wintner Inequalities for Fractional Elliptic Problems

Aidyn KassymovMichael RuzhanskyBerikbol Torebek

U Journal Article in Mediterranean Journal of Mathematics

Rayleigh–Faber–Krahn, Lyapunov and Hartmann–Wintner inequalities for fractional elliptic problems

Aidyn KassymovMichael RuzhanskyBerikbol Torebek

A1 Journal Article in MEDITERRANEAN JOURNAL OF MATHEMATICS

Stein-Weiss-Adams inequality on Morrey spaces

Aidyn KassymovMaria Alessandra RagusaMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in JOURNAL OF FUNCTIONAL ANALYSIS

2022

Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and p-sub-Laplacian systems

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in POTENTIAL ANALYSIS

Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems

Aidyn KassymovMokhtar KiraneBerikbol Torebek

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in FORUM MATHEMATICUM

Reverse integral Hardy inequality on metric measure spaces

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

A2 Journal Article in ANNALES FENNICI MATHEMATICI

2021

Existence of solutions for p-sub-Laplacians with nonlinear sources on the Heisenberg group

Aidyn KassymovDurvudkhan Suragan

A1 Journal Article in COMPLEX VARIABLES AND ELLIPTIC EQUATIONS

Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives

Aidyn KassymovMichael RuzhanskyNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in BANACH JOURNAL OF MATHEMATICAL ANALYSIS

2020

Basic functional and geometric inequalities for the fractional order operators on homogenous Lie groups

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

Lyapunov-type inequalities for a nonlinear fractional boundary value problem

Aidyn KassymovBerikbol Torebek

A1 Journal Article in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS

Lyapunov-type inequalities for the fractional p-sub-Laplacian

Aidyn KassymovDurvudkhan Suragan

A2 Journal Article in ADVANCES IN OPERATOR THEORY

Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group

Aidyn KassymovDurvudkhan Suragan

A1 Journal Article in BULLETIN DES SCIENCES MATHEMATIQUES

Nonexistence results for the hyperbolic-type equations on graded Lie groups

Aidyn KassymovNiyaz TokmagambetovBerikbol Torebek

A1 Journal Article in BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

Some weak geometric inequalities for the Riesz potential

A2 Journal Article in EURASIAN MATHEMATICAL JOURNAL

2019

Blow-up of solutions of nonlinear heat equation with hypoelliptic operators on graded Lie groups

Bayan BekbolatAidyn KassymovNiyaz Tokmagambetov

A1 Journal Article in COMPLEX ANALYSIS AND OPERATOR THEORY

Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups

Aidyn KassymovMichael RuzhanskyDurvudkhan Suragan

A1 Journal Article in INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS