Fardi, Mojtaba; Azarnavid, Babak A study on the numerical solution of the Sobolev equation with a Burgers-type nonlinearity on two-dimensional irregular domains using the local RBF partition of unity method. (English) Zbl 07959233 Comput. Appl. Math. 44, No. 1, Paper No. 17, 46 p. (2025). MSC: 65M22 35A35 34K28 × Cite Format Result Cite Review PDF Full Text: DOI
Ranabhat, Min First order inequalities via Riesz potentials in the Monge-Ampère quasi-metric structure. (English) Zbl 07946864 J. Math. Anal. Appl. 543, No. 1, Article ID 128840, 28 p. (2025). MSC: 31B15 35J96 × Cite Format Result Cite Review PDF Full Text: DOI
do Ó, João Marcos; Lu, Guozhen; Ponciano, Raoní Cabral Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains. (English) Zbl 07946843 Discrete Contin. Dyn. Syst. 45, No. 2, 557-584 (2025). MSC: 35A23 35B33 35J60 46E30 46E35 26D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agarwal, R. P.; Azroul, E.; Kamali, N.; Shimi, M. On a class of \(p(x, \cdot )\)-integro-differential Kirchhoff-type problem with singular kernel. (English) Zbl 07925052 J. Appl. Anal. Comput. 15, No. 1, 333-353 (2025). MSC: 35R11 35A15 35J92 45K05 47G20 45H05 × Cite Format Result Cite Review PDF Full Text: DOI
Kozhanov, A. I. Nonlocal problems with partially integral conditions for fourth-order Sobolev-type differential equations. (English) Zbl 07961811 Lobachevskii J. Math. 45, No. 9, 4548-4556 (2024). MSC: 34Gxx 35-XX 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Ovsyannikov, E. A. Local solvability and blow-up of classical solution to some initial-boundary value problem for a nonlinear equation governing ion-acoustic waves in a plasma. (English) Zbl 07960069 Comput. Math. Math. Phys. 64, No. 10, 2305-2319 (2024). MSC: 35B44 35L70 35L82 × Cite Format Result Cite Review PDF Full Text: DOI
Dzhamalov, Sirojiddin Z.; Khalkhadzhaev, Bakhtiyor B.; Tuychiyeva, Sayyora T. On the smoothness of a generalized solution of a semi-nonlocal boundary value problem for a fourth-order mixed type equation of the second kind. (English) Zbl 07959747 J. Contemp. Appl. Math. 14, No. 2, 108-120 (2024). MSC: 35M10 35B65 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Zamyshlyaeva, A. A.; Bychkov, E. V. Initial-boundary value problem for a nonlinear modified Boussinesq equation. (English. Russian original) Zbl 07959297 Differ. Equ. 60, No. 8, 1065-1073 (2024); translation from Differ. Uravn. 60, No. 8, 1076-1085 (2024). MSC: 35G31 35L82 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Chatziafratis, Andreas; Ozawa, Tohru New instability, blow-up and break-down effects for Sobolev-type evolution PDE: asymptotic analysis for a celebrated pseudo-parabolic model on the quarter-plane. (English) Zbl 07951606 SN Partial Differ. Equ. Appl. 5, No. 5, Paper No. 30, 45 p. (2024). MSC: 35K70 35B40 35C15 35C20 35G16 35Q35 35Q79 35Q81 44A15 74F10 74H10 74S70 76M45 76S05 80A19 80M35 85A25 × Cite Format Result Cite Review PDF Full Text: DOI
Aristov, A. I. Exact solutions of a model nonlinear equation. (English) Zbl 07940844 Lobachevskii J. Math. 45, No. 5, 2206-2210 (2024). MSC: 35K70 35C05 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Korpusov, M. O.; Shafir, R. S.; Matveeva, A. K. Numerical diagnostics of solution blow-up in a thermoelectric semiconductor model. (English) Zbl 07940398 Comput. Math. Math. Phys. 64, No. 7, 1595-1602 (2024). MSC: 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Bauerschmidt, Roland; Bodineau, Thierry; Dagallier, Benoit Stochastic dynamics and the Polchinski equation: an introduction. (English) Zbl 07939988 Probab. Surv. 21, 200-290 (2024). MSC: 60H10 60H30 60K35 39B62 82C20 82C21 82C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Mirzapour, Maryam Mountain pass solution for a \(p(t)\)-biharmonic Kirchhoff type equation. (English) Zbl 07930291 Casp. J. Math. Sci. 13, No. 1, 94-105 (2024). MSC: 46E35 35D30 35J60 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Guiver, Chris; Logemann, Hartmut; Opmeer, Mark R. Operator-valued multiplier theorems for causal translation-invariant operators with applications to control theoretic input-output stability. (English) Zbl 07927392 Math. Control Signals Syst. 36, No. 4, 729-773 (2024). MSC: 93-XX 42A38 44A10 46E35 46E40 46F12 46F20 47A56 47N70 93B28 93C05 93C20 93C23 93D05 93D25 × Cite Format Result Cite Review PDF Full Text: DOI
Gutierrez, Hernán A. Cuti; Nyamoradi, Nemat; Torres Ledesma, César E. A boundary value problem with impulsive effects and Riemann-Liouville tempered fractional derivatives. (English) Zbl 07924382 J. Appl. Anal. Comput. 14, No. 6, 3496-3519 (2024). MSC: 34A08 34B37 58E05 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Mamedov, E. M.; Nasibova, N. P.; Sezer, Y. Some remarks on integral operators in Banach function spaces and representation theorems in Banach-Sobolev spaces. (English) Zbl 07920842 Azerb. J. Math. 14, No. 2, 189-204 (2024). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 45P05 47G10 45E10 47G10 × Cite Format Result Cite Review PDF Full Text: Link
El Ansari, M.; Akdim, Y.; Rhali, S. L. Nonlinear parabolic problems in anisotropic Sobolev spaces. (English) Zbl 07920838 Azerb. J. Math. 14, No. 2, 109-143 (2024). MSC: 35K59 35D30 35K20 35R70 47B44 × Cite Format Result Cite Review PDF Full Text: Link
Lu, Shuyao; Mao, Anmin Existence and concentration behavior of normalized solutions for critical Kirchhoff type equations with general nonlinearities. (English) Zbl 1547.35336 Z. Angew. Math. Phys. 75, No. 4, Paper No. 153, 22 p. (2024). MSC: 35J62 35B33 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Yücedag, Zehra Existence and multiplicity of solutions for a \(p(x)\)-Kirchhoff type equation with Steklov boundary. (English) Zbl 07911235 Miskolc Math. Notes 25, No. 1, 523-536 (2024). MSC: 35A15 35J60 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Markett, Clemens The Jacobi-Sobolev, Laguerre-Sobolev, and Gegenbauer-Sobolev differential equations and their interrelations. (English) Zbl 07901582 Integral Transforms Spec. Funct. 35, No. 9, 437-456 (2024). MSC: 33C45 34L10 33C47 33E20 34B30 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Tapiola, Olli; Tolsa, Xavier Connectivity conditions and boundary Poincaré inequalities. (English) Zbl 07898591 Anal. PDE 17, No. 5, 1831-1870 (2024). MSC: 28A75 46E35 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Oliveira, José Francisco; Silva, Jeferson On a Sobolev-type inequality and its minimizers. (English) Zbl 07897531 Anal. Appl., Singap. 22, No. 8, 1417-1446 (2024). MSC: 46E35 35J35 35J61 35B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yacini, Soukaina; Allalou, Chakir; Hilal, Khalid An existence result for a \((p(x), q(x))\)-Kirchhoff type system with Dirichlet boundary conditions via topological degree method. (English) Zbl 07896578 Eurasian Math. J. 15, No. 2, 75-91 (2024). MSC: 35J35 47H11 47H30 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Wang, Ying; Yuan, Rong; Zhang, Ziheng Positive solutions for Kirchhoff equation in exterior domains with small Sobolev critical perturbation. (English) Zbl 1547.35345 Complex Var. Elliptic Equ. 69, No. 8, 1281-1319 (2024). MSC: 35J62 35B33 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Ting-Ting; Ou, Zeng-Qi; Tang, Chun-Lei; Lv, Ying Positive solutions of Kirchhoff type problems with critical growth on exterior domains. (English) Zbl 1547.35324 Anal. Math. Phys. 14, No. 4, Paper No. 87, 32 p. (2024). MSC: 35J62 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Artem’eva, M. V.; Korpusov, M. O. On the existence of a nonextendable solution of the Cauchy problem for a \((1+1)\)-dimensional thermal-electrical model. (English. Russian original) Zbl 1545.35205 Math. Notes 115, No. 5, 653-663 (2024); translation from Mat. Zametki 115, No. 5, 645-657 (2024). MSC: 35Q81 35Q74 74F05 74F10 35B44 35B45 35A09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Soldatova, Ekaterina Aleksandrovna; Keller, Alevtina Viktorovna Numerical algorithm and computational experiments for one linear stochastic Hoff model. (English) Zbl 1543.35232 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 2, 83-95 (2024). MSC: 35Q74 74K10 60H15 60H40 65M60 74S05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Sagadeeva, Minzilya Almasovna; Zagrebina, Sof’ya Aleksandrovna Stability of a stationary solution to non-autonomous linearized Hoff model on a geometrical graph. (Russian. English summary) Zbl 1541.34094 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 2, 40-50 (2024). MSC: 34K20 34G10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Nikolaeva, Nadezhda Gennad’evna; Gavrilova, Ol’ga Vital’evna; Manakova, Natal’ya Aleksandrovna Investigation of the uniqueness solution of the Showalter-Sidorov problem for the mathematical Hoff model. Phase space morphology. (English) Zbl 1543.35105 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 1, 49-63 (2024). MSC: 35K70 35K20 35K58 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kitaeva, Ol’ga Gennad’evna Stability of solutions to the stochastic Oskolkov equation and stabilization. (English) Zbl 1543.35301 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 17, No. 1, 17-26 (2024). MSC: 35R60 35B40 35Q35 35S10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Manjula, M.; Thilakraj, E.; Sawangtong, P.; Kaliraj, K. Analysis on nonlinear differential equation with a deviating argument via Faedo-Galerkin method. (English) Zbl 1546.34174 Results Appl. Math. 22, Article ID 100452, 12 p. (2024). MSC: 34K30 34K37 34K32 34K45 34K07 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Hebey, Emmanuel A twist in sharp Sobolev inequalities with lower order remainder terms. (English) Zbl 1544.53039 Adv. Calc. Var. 17, No. 3, 605-628 (2024). MSC: 53C21 58J05 × Cite Format Result Cite Review PDF Full Text: DOI
Eddine, Nabil Chems; Nguyen, Anh Tuan; Ragusa, Maria Alessandra The Dirichlet problem for a class of anisotropic Schrödinger-Kirchhoff-type equations with critical exponent. (English) Zbl 1542.35037 Math. Model. Anal. 29, No. 2, 254-267 (2024). MSC: 35B33 35D30 35J20 35J92 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Jeet, Kamal; Kumar, Ankit; Vats, Ramesh Kumar Approximate controllability of neutral Hilfer fractional differential equations of Sobolev-type in a Hilbert space. (English) Zbl 1544.93053 Math. Control Relat. Fields 14, No. 2, 493-512 (2024). MSC: 93B05 93C25 93C15 34A08 34G10 × Cite Format Result Cite Review PDF Full Text: DOI
Artemeva, M. V.; Korpusov, M. O. On the blow-up of the solution of a \((1+1)\)-dimensional thermal-electrical model. (English. Russian original) Zbl 1541.35476 Theor. Math. Phys. 219, No. 2, 748-760 (2024); translation from Teor. Mat. Fiz. 219, No. 2, 249-262 (2024). MSC: 35Q60 35Q79 35Q81 35B44 35A09 78A25 78A55 × Cite Format Result Cite Review PDF Full Text: DOI
Kömbe, Ismail; Yener, Abdullah Weighted Hardy type inequalities with Robin boundary conditions. (English) Zbl 07862935 Discrete Contin. Dyn. Syst., Ser. S 17, No. 5-6, 1889-1898 (2024). MSC: 26D10 35H10 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vougalter, Vitali Solvability of some quadratic integral equations. (English) Zbl 1542.45005 Pure Appl. Funct. Anal. 9, No. 2, 601-610 (2024). Reviewer: Bhuban Deuri (Doimukh) MSC: 45G10 47H09 47H10 47N20 × Cite Format Result Cite Review PDF Full Text: Link
Claeys, Xavier; Hassan, Muhammad; Stamm, Benjamin Continuity estimates for Riesz potentials on polygonal boundaries. (English) Zbl 1542.42011 SN Partial Differ. Equ. Appl. 5, No. 3, Paper No. 11, 21 p. (2024). MSC: 42B20 42B10 44A15 47G10 47G30 46E35 45P05 45G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Sobolev orthogonal polynomials and spectral methods in boundary value problems. (English) Zbl 1540.42047 Appl. Numer. Math. 200, 254-272 (2024). MSC: 42C05 33C45 41A10 42A10 35J25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Garain, Prashanta Mixed anisotropic and nonlocal Sobolev type inequalities with extremal. (English) Zbl 1540.35014 J. Math. Sci., New York 281, No. 5, 633-645 (2024). MSC: 35A23 35A01 35J92 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Korpusov, M. O.; Shlyapugin, G. I. On blow-up of solutions of the Cauchy problems for a class of nonlinear equations of ferrite theory. (English. Russian original) Zbl 1541.35095 J. Math. Sci., New York 281, No. 3, 418-470 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 185, 79-131 (2020). MSC: 35B44 35G55 35L82 × Cite Format Result Cite Review PDF Full Text: DOI
Yamagishi, Hiroyuki; Kametaka, Yoshinori The best constant of the \(L^p\) Sobolev-type inequality corresponding to elliptic operator in \(\mathbf{R}^N\). (English) Zbl 1540.35132 Hiroshima Math. J. 54, No. 1, 87-102 (2024). MSC: 35J08 35J15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ruan, Zhuoping; Witt, Ingo Hyperbolic problems with totally characteristic boundary. (English) Zbl 1540.35260 J. Pseudo-Differ. Oper. Appl. 15, No. 2, Paper No. 29, 35 p. (2024). MSC: 35L50 35L80 35S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beshtokov, Murat Khamidbievich A locally one-dimensional scheme for the third initial boundary value problem for a multidimensional Sobolev-type equation with a memory effect. (Russian. English summary) Zbl 07845712 Vladikavkaz. Mat. Zh. 26, No. 1, 36-55 (2024). MSC: 65N06 65N12 35R09 35Q35 76A05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kassymov, Aidyn; Kumar, Vishvesh; Ruzhansky, Michael Functional inequalities on symmetric spaces of noncompact type and applications. (English) Zbl 1544.43005 J. Geom. Anal. 34, No. 7, Paper No. 208, 42 p. (2024). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 43A85 22E30 26D10 35A23 45J05 35L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vijayakumar, V.; Ravichandran, Chokkalingam; Nisar, Kottakkaran Sooppy; Kucche, Kishor D. New discussion on approximate controllability results for fractional Sobolev type Volterra-Fredholm integro-differential systems of order \(1<r<2\). (English) Zbl 07840123 Numer. Methods Partial Differ. Equations 40, No. 2, Article ID e22772, 37 p. (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jinguo Sub-elliptic systems involving critical Hardy-Sobolev exponents and sign-changing weight functions on Carnot groups. (English) Zbl 1535.35041 J. Nonlinear Var. Anal. 8, No. 2, 199-231 (2024). MSC: 35H20 35R03 35J70 22E30 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Chongqing; Li, Anran Multiple solutions for a class of Kirchhoff type equations with zero mass and Hardy-Littlewood-Sobolev critical nonlinearity. (English) Zbl 1535.35077 J. Nonlinear Var. Anal. 8, No. 1, 23-39 (2024). MSC: 35J60 35J20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yansheng A fractional Hardy-Sobolev type inequality with applications to nonlinear elliptic equations with critical exponent and Hardy potential. (English) Zbl 1537.35020 Discrete Contin. Dyn. Syst. 44, No. 7, 1901-1937 (2024). MSC: 35A23 35A15 35B33 35J92 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Bouabdallah, Mohamed; Chakrone, Omar; Chehabi, Mohammed On a Schrödinger-Kirchhoff type equation involving the fractional \(p\)-Laplacian without the Ambrosetti-Rabinowitz condition. (English) Zbl 1537.35366 J. Math. Phys. Anal. Geom. 20, No. 1, 41-65 (2024). MSC: 35R11 35A15 35J92 × Cite Format Result Cite Review PDF Full Text: DOI
Sajjadi, Seyed Mostafa; Afrouzi, Ghasem Alizadeh On a class of fractional \(p(x,y)\)-Kirchhoff type problems with indefinite weight. (English) Zbl 1537.35393 Cubo 26, No. 1, 107-122 (2024). MSC: 35R11 35D30 35J20 35J92 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Fan; Lin, Yiqing; Ren, Zhenjie; Wang, Songbo Uniform-in-time propagation of chaos for kinetic mean field Langevin dynamics. (English) Zbl 1541.82011 Electron. J. Probab. 29, Paper No. 17, 43 p. (2024). MSC: 82C31 82C21 60J60 60K35 35B40 35H10 35B65 35Q83 35Q84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Xing; Xiao, Jie; Xiong, Qi Toward weighted Lorentz-Sobolev capacities from Caffarelli-Silvestre extensions. (English) Zbl 1536.35163 J. Geom. Anal. 34, No. 5, Paper No. 124, 85 p. (2024). MSC: 35J92 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Jleli, Mohamed; Samet, Bessem On the critical behavior for a Sobolev-type inequality with Hardy potential. (English. French summary) Zbl 1535.35223 C. R., Math., Acad. Sci. Paris 362, 87-97 (2024). MSC: 35R45 35A01 35B33 35K20 35K70 × Cite Format Result Cite Review PDF Full Text: DOI
Marini, Ludovico; Veronelli, Giona Some functional properties on Cartan-Hadamard manifolds of very negative curvature. (English) Zbl 1540.53063 J. Geom. Anal. 34, No. 4, Paper No. 106, 34 p. (2024). MSC: 53C21 58J05 58J65 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guan, Zhen; Li, Meng; Wang, Junjun The nonconforming virtual element method for Sobolev equations with Burger’s type nonlinearity. (English) Zbl 1533.65165 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107881, 15 p. (2024). MSC: 65M60 65M06 65N30 65M15 65M12 65H10 41A25 35A15 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Ouaziz, Abdesslam; Aberqi, Ahmed Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse’s theory. (English) Zbl 1535.35204 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 10, 21 p. (2024). MSC: 35R11 58E05 49J35 35J65 × Cite Format Result Cite Review PDF Full Text: DOI
Ok, Jihoon; Scilla, Giovanni; Stroffolini, Bianca Regularity theory for parabolic systems with Uhlenbeck structure. (English. French summary) Zbl 1535.35029 J. Math. Pures Appl. (9) 182, 116-163 (2024). Reviewer: Lubomira Softova (Fisciano) MSC: 35B65 35K40 35K59 46E35 49N60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vijayakumar, V.; Udhayakumar, R.; Panda, Sumati Kumari; Nisar, Kottakkaran Sooppy Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities. (English) Zbl 1531.65017 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22690, 39 p. (2024). MSC: 65C30 93B05 49J40 65K15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Wenjing; Feng, Dongxue Critical fractional \((p, q)\)-Kirchhoff type problem with a generalized Choquard nonlinearity and magnetic field. (English) Zbl 1531.35352 Bull. Malays. Math. Sci. Soc. (2) 47, No. 1, Paper No. 33, 18 p. (2024). MSC: 35R11 35A15 35B33 35J92 × Cite Format Result Cite Review PDF Full Text: DOI
Zamyshlyaeva, Alyona A.; Bychkov, Evgeniy V. Optimal control of solutions to the Cauchy problem for an incomplete semilinear Sobolev type equation of the second order. (English) Zbl 07908447 J. Comput. Eng. Math. 10, No. 3, 24-37 (2023). MSC: 35G20 49J20 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Benchira, Hayat; Matallah, Atika; El Mokhtar, Mohammed El Mokhtar Ould; Sabri, Khadija The existence result for a \(p\)-Kirchhoff-type problem involving critical Sobolev exponent. (English) Zbl 1547.35316 J. Funct. Spaces 2023, Article ID 3247421, 8 p. (2023). MSC: 35J62 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Shafranov, Dmitriĭ Evgen’evich Numerical solutions for the Cauchy problem for the Oskolkov equation in the spaces of differential forms with stochastic coefficients. (English) Zbl 07899620 J. Comput. Eng. Math. 10, No. 2, 42-51 (2023). MSC: 35R60 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Nikolaeva, Nadezhda Gennad’evna; Gavrilova, Ol’ga Vital’evna; Manakova, Natal’ya Aleksandrovna Numerical investigation of the non-uniqueness of solutions of the Showalter-Sidorov problem for the Hoff mathematical model on a rectangle. (English) Zbl 07899619 J. Comput. Eng. Math. 10, No. 2, 26-41 (2023). MSC: 35Q99 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Sagadeeva, Minzilya Almasovna; Zagrebina, Sof’ya Aleksandrovna Solution of stochastic non-autonomous Chen-Gurtin model with multipoint initial-final condition. (English) Zbl 07899484 J. Comput. Eng. Math. 10, No. 1, 44-55 (2023). MSC: 60H30 34K50 34M99 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Kitaeva, Ol’ga Gennad’evna Stabilization of the stochastic Barenblatt-Zheltov-Kochina equation. (English) Zbl 07899482 J. Comput. Eng. Math. 10, No. 1, 21-29 (2023). MSC: 35G05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Balachandran, K. On the solutions of Sobolev type fractional partial differential equations. (English) Zbl 07859985 Aligarh Bull. Math. 42, No. 2, 81-94 (2023). MSC: 35R11 35S10 × Cite Format Result Cite Review PDF Full Text: Link
Cunha, Patrícia L.; Lemos, Flávio A. The extremal problem for Sobolev inequalities with upper order remainder terms. (English) Zbl 07853404 Mat. Contemp. 56, 111-134 (2023). MSC: 35A23 35A15 58J05 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Ceretani, Andrea N.; Rautenberg, Carlos N. The spatially variant fractional Laplacian. (English) Zbl 1537.35369 Fract. Calc. Appl. Anal. 26, No. 6, 2837-2873 (2023). MSC: 35R11 26A33 49J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kozhanov, Aleksandr Ivanovich; Kenzhebaĭ, Khanat Boundary value problems with an integro-differential non-local condition for composite type differential equations of the fourth order. (Russian. English summary) Zbl 1537.35219 Chelyabinskiĭ Fiz.-Mat. Zh. 8, No. 4, 516-527 (2023). MSC: 35K70 35K35 35R09 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Korpusov, M. O.; Perlov, A. Yu.; Timoshenko, A. V.; Shafir, R. S. Global-in-time solvability of a nonlinear system of equations of a thermal-electrical model with quadratic nonlinearity. (English. Russian original) Zbl 07824540 Theor. Math. Phys. 217, No. 2, 1743-1754 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 378-390 (2023). MSC: 35Q81 35Q60 35Q79 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Razzaghi, M. A hybrid spectral approach based on 2D cardinal and classical second kind Chebyshev polynomials for time fractional 3D Sobolev equation. (English) Zbl 1536.35356 Math. Methods Appl. Sci. 46, No. 18, 18768-18788 (2023). MSC: 35R11 26A33 65M70 65M06 65M60 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Yacini, Soukaina; Allalou, Chakir; Hilal, Khalid Weak solution to \(p(x)\)-Kirchoff type problems under no-flux boundary condition by topological degree. (English) Zbl 07805690 Bol. Soc. Parana. Mat. (3) 41, Paper No. 132, 12 p. (2023). MSC: 35J92 35J30 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
El Hammar, Hasnae; El Ouaarabi, Mohamed; Allalou, Chakir; Melliani, Said Variable exponent \(p(\cdot)\)-Kirchhoff type problem with convection in variable exponent Sobolev spaces. (English) Zbl 07805688 Bol. Soc. Parana. Mat. (3) 41, Paper No. 130, 13 p. (2023). MSC: 35J93 35J66 35D30 47H11 × Cite Format Result Cite Review PDF Full Text: DOI
Keller, Alevtina Viktorovna Sobolev-type systems and applied problems. (Russian. English summary) Zbl 1533.35205 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 16, No. 4, 5-32 (2023). MSC: 35K70 35K90 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Duan, Yu; Sun, Xin; Liao, Jiafeng Positive solutions to a class of Kirchhoff-type problems with Hardy-Sobolev critical exponent in \(\mathbb{R}^N\). (Chinese. English summary) Zbl 07802330 Chin. Ann. Math., Ser. A 44, No. 3, 323-334 (2023). MSC: 35B09 35J15 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Lubyshev, Fedor Vladimirovich; Bolotnov, Anatoliĭ Mironovich; Faĭruzov, Makhmut Èrnstovich Mathematical models of joint calculation of electric and thermal fields in electrochemical systems (in electrolytes). (Russian. English summary) Zbl 07794140 Zh. Sredn. Mat. Obshch. 25, No. 3, 150-158 (2023). MSC: 78A57 78A55 80A22 35B45 76W05 76K05 35Q60 35Q75 35M32 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Hmidouch, Lhoucine; Jamea, Ahmed; Laghdir, Mohamed Existence of entropy solution for a nonlinear parabolic problem in weighted Sobolev space via optimization method. (English) Zbl 1531.35125 Math. Model. Anal. 28, No. 3, 393-414 (2023). MSC: 35D30 35A15 35K20 35K65 × Cite Format Result Cite Review PDF Full Text: DOI
Naumkin, P. I. Logarithmic nature of the long-time asymptotics of solutions of a Sobolev-type nonlinear equations with cubic nonlinearities. (English. Russian original) Zbl 1531.35073 Sb. Math. 214, No. 7, 1024-1050 (2023); translation from Mat. Sb. 214, No. 7, 134-160 (2023). MSC: 35B40 35K61 35K70 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Umarov, Kh. G. Blow-up of the solution to the equation for nonlinear beam vibrations with allowance for transverse deformation effects. (English. Russian original) Zbl 1530.35079 Comput. Math. Math. Phys. 63, No. 11, 2107-2122 (2023); translation from Zh. Vychisl. Mat. Mat. 63, No. 11, 1877-1893 (2023). MSC: 35B44 35L35 35L76 74H45 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Johnson, Murugesan; Kavitha, Krishnan; Chalishajar, Dimplekumar; Malik, Muslim; Vijayakumar, Velusamy; Shukla, Anurag An analysis of approximate controllability for Hilfer fractional delay differential equations of Sobolev type without uniqueness. (English) Zbl 1530.93030 Nonlinear Anal., Model. Control 28, No. 4, 632-654 (2023). MSC: 93B05 93C23 34K37 93B03 × Cite Format Result Cite Review PDF Full Text: Link
Filipuk, Galina; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Second-order difference equation for Sobolev-type orthogonal polynomials. II: Computational tools. (English) Zbl 1533.33029 East Asian J. Appl. Math. 13, No. 4, 960-979 (2023). MSC: 33E30 39A13 39A70 33F10 33C45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Vijayakumar, V.; Udhayakumar, R.; Zhou, Yong; Sakthivel, N. Approximate controllability results for Sobolev-type delay differential system of fractional order without uniqueness. (English) Zbl 1535.35189 Numer. Methods Partial Differ. Equations 39, No. 5, 3479-3498 (2023). MSC: 35Q93 93C20 35R07 47H10 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Yunyun Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group. (English) Zbl 1542.35017 Adv. Nonlinear Anal. 12, Article ID 20230116, 25 p. (2023). MSC: 35A23 35R03 43A85 45E10 45G15 × Cite Format Result Cite Review PDF Full Text: DOI
Schneider, Cornelia; Szemenyei, Flóra Orsolya Besov regularity of inhomogeneous parabolic PDEs. (English) Zbl 1527.35114 SN Partial Differ. Equ. Appl. 4, No. 5, Paper No. 43, 61 p. (2023). MSC: 35B65 35D30 35B45 35K35 × Cite Format Result Cite Review PDF Full Text: DOI
Torres Ledesma, César E.; Cuti, Hernán; Ávalos Rodríguez, Jesús; Montalvo Bonilla, Manuel Boundary value problem with tempered fractional derivatives and oscillating term. (English) Zbl 1543.34009 J. Pseudo-Differ. Oper. Appl. 14, No. 4, Paper No. 62, 25 p. (2023). MSC: 34A08 34B09 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Ma, He Unconditional superconvergence analysis of a modified nonconforming energy stable BDF2 FEM for Sobolev equations with Burgers’ type nonlinearity. (English) Zbl 07758892 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107440, 12 p. (2023). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Allalou, Chakir; Hilal, Khalid; Yacini, Soukaina Existence of weak solution for \(p\)-Kirchoff type problem via topological degree. (English) Zbl 1526.35011 J. Elliptic Parabol. Equ. 9, No. 2, 673-686 (2023). MSC: 35A16 35J25 35J60 47H11 × Cite Format Result Cite Review PDF Full Text: DOI
Chmara, Magdalena A generalized version of the Lions-type lemma. (English) Zbl 1531.46019 Ann. Math. Sil. 37, No. 2, 240-247 (2023). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 46E35 35J20 35J61 35B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Umarov, Kh. G. Solution blow-up and global solvability of the Cauchy problem for the equation of moderately long longitudinal waves in a viscoelastic rod. (English. Russian original) Zbl 1525.35048 Comput. Math. Math. Phys. 63, No. 7, 1285-1299 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1177-1191 (2023). MSC: 35B44 35L30 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Korpusov, M. O.; Ovsyannikov, E. A. Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations. III: Cauchy problems. (English. Russian original) Zbl 1525.35043 Comput. Math. Math. Phys. 63, No. 7, 1218-1236 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1109-1127 (2023). MSC: 35B44 35B45 35L30 × Cite Format Result Cite Review PDF Full Text: DOI
Aristov, A. I. The Painleve analysis of an ordinary differential equation which describes a traveling-wave solution of the Oskolkov-Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1546.34185 Lobachevskii J. Math. 44, No. 6, 2222-2228 (2023). MSC: 34M04 34M55 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Raja, M. Mohan; Vijayakumar, V. Approximate controllability results for the Sobolev type fractional delay impulsive integrodifferential inclusions of order \(r \in (1,2)\) via sectorial operator. (English) Zbl 1522.93039 Fract. Calc. Appl. Anal. 26, No. 4, 1740-1769 (2023). MSC: 93B05 45J05 45B05 45D05 26A33 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Moufawad, Sophie M.; Nassif, Nabil R. Newton type methods for solving a Hasegawa-Mima plasma model. (English) Zbl 07748277 Appl. Math. Comput. 459, Article ID 128141, 25 p. (2023). MSC: 65-XX 35A01 35M33 65H10 65M60 78M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Jincheng; Peng, Lianyun; Yao, Zheng-an Local-in-time well-posedness theory for the inhomogeneous MHD boundary layer equations without resistivity in lower regular Sobolev space. (English) Zbl 1538.76214 J. Differ. Equations 374, 446-496 (2023). MSC: 76W05 35Q30 76D10 × Cite Format Result Cite Review PDF Full Text: DOI
Perevozchikova, Kseniya Vladimirovna; Manakova, Natal’ya Aleksandrovna Investigation of boundary control and final observation in mathematical model of motion speed potentials distribution of filtered liquid free surface. (English) Zbl 1522.93081 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 16, No. 2, 111-116 (2023). MSC: 93C20 76B07 76S05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Zhang, Jinguo On the existence and multiplicity of solutions for a class of sub-Laplacian problems involving critical Sobolev-Hardy exponents on Carnot groups. (English) Zbl 1523.35130 Appl. Anal. 102, No. 15, 4209-4229 (2023). MSC: 35H20 35B33 35B40 35J70 × Cite Format Result Cite Review PDF Full Text: DOI
Karthikeyan, K.; Murugapandian, G. S.; Hammouch, Z. On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions. (English) Zbl 1535.34014 Math. Sci., Springer 17, No. 3, 285-295 (2023). Reviewer: Zhenbin Fan (Jiangsu) MSC: 34A08 34A09 34B37 34B10 34G20 34A45 47H08 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Y.; Zaky, M. A.; Hendy, A. S.; Qiu, W. Optimal error analysis of space-time second-order difference scheme for semi-linear non-local Sobolev-type equations with weakly singular kernel. (English) Zbl 1528.65041 J. Comput. Appl. Math. 431, Article ID 115287, 27 p. (2023). MSC: 65M06 35R11 65M12 65M15 45K05 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Abels, Helmut; Grubb, Gerd Fractional-order operators on nonsmooth domains. (English) Zbl 1521.35064 J. Lond. Math. Soc., II. Ser. 107, No. 4, 1297-1350 (2023). MSC: 35B65 35R11 35S15 47G30 60G52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv