45) Ismail Kombe and Abdullah Yener “On the Nonexistence of Positive Solutions to Nonlinear Parabolic Equations with Robin Boundary Conditions on the Heisenberg Group “, submitted for publication.
44) Ismail Kombe and Abdullah Yener ” Some Fast Diffusion Equations and Hardy-Leray type inequalities associated to Greiner vector fields “, submitted for publication.
43) Ismail Kombe “Some Nonlinear Parabolic Equations with Robin Boundary Conditions and Hardy-Leray type Inequalities on Riemannian Manifolds“, submitted for publication.
42) Ismail Kombe “The linear heat equation with Robin boundary condition and application of Hardy-Leray type inequalities on Riemannian Manifolds“, submitted for publication.
41) Ismail Kombe ” Nonlinear Parabolic Equations and Hardy-Leray type inequalities on Carnot groups“, submitted for publication.
40) Ismail Kombe ” Some Fast Diffusion Equations and Hardy-Leray type inequalities associated to Baouendi-Grushin operators “, submitted for publication.
39) Ismail Kombe ” Hardy-Leray type inequalities and p-Laplacian parabolic problems associated to Baouendi-Grushin operators “, submitted for publication.
38) Ismail Kombe and Sümeyye Bakım, “Doubly Nonlinear Parabolic Equations on Riemannian Manifolds“, submitted for publication.
37) Ismail Kombe, Sümeyye Bakım, Reyhan Tellioğlu, “Several Weighted Hardy, Hardy-Sobolev-Mazya and Related Inequalities” ,
https://arxiv.org/abs/2108.04522
36) Gisele Goldstein, Jerome Goldstein, Ismail Kombe, Abdel Aziz Randi ” Scaling and instantaneous blow up” Quaestiones Mathematicae vol.47, no.sup1, pp.169-177, 2024.
35) Gisele Goldstein, Jerome Goldstein, Ismail Kombe, “Non-existence results for p-Laplacian parabolic problems on the Heisenberg group ” Discrete and Continuous Dynamical Systems Ser. S 16(2023), no.9.2354-2363.
34) Gisele Goldstein, Jerome Goldstein, Ismail Kombe, “Non-existence results for nonlinear parabolic problems on the Heisenberg group ” To appear in Contemporary Mathematics, Amer. Math. Soc.
33) Ismail Kombe and Abdullah Yener, “Weighted Hardy Type inequalities with Robin Boundary Conditions“, Discrete and Continuous Dynamical Systems, 2023.
32) Ismail Kombe, Reyhan Tellioğlu ” Doubly nonlinear parabolic equations with Robin boundary conditions” Mathematical Methods in Applied Sciences, 2022.
https://doi.org/10.1002/mma.8312
31) Gisele Goldstein, Jerome Goldstein, Ismail Kombe, Reyhan Tellioğlu “Nonexistence of positive solutions for nonlinear parabolic Robin problems and Hardy-Leray Inequalities” Annali di Matematica Pura ed Applicata, 2022.
https://doi.org/10.1007/s10231-022-01226-6
30) Sümeyye Bakım, Gisele Goldstein, Jerome Goldstein, Ismail Kombe ” Nonexistence Results for Parabolic Equations
Involving the p-Laplacian and Hardy-Leray Type Inequalities on Riemannian Manifolds ” Journal of Evolution Equations, (21) 2, 2021.
29) Gisele Goldstein, Jerome Goldstein, Ismail Kombe, Reyhan Tellioğlu ” Nonlinear Parabolic Equations with Robin Boundary Conditions and Hardy-Leray Type Inequalities”, Stochastic Processes and Functional Analysis: New Perspectives, To appear in Contemporary Mathematics 774, Amer. Math. Soc., Providence, RI, 2021.
28) Sümeyye Bakım, Gisele Goldstein, Jerome Goldstein, Ismail Kombe ” Fast Diffusion Equations on Riemannian Manifolds “, Differential and Integral Equations, 33(9-10), (2020), 507-526.
27) Kombe, Ismail; Yener, Abdullah “A General Approach to weighted L^p-Rellich type inequalities related to Greiner operator”, Communications on Pure and Applied Analysis, 18(2), (2018), 869-886.
26) Kombe, Ismail; Yener, Abdullah “General weighted Hardy type inequalities related to Baouendi-Grushin operators”, Complex Variables and Elliptic Equations, 63(3), (2018), 420-436.
25) Goldstein, Jerome; Kombe, Ismail; Yener, Abdullah “A General Approach to Weighted Rellich Type inequalities on Carnot Groups”, Monatshefte für Mathematik, 186(1), (2018), 1-24.
24) Kombe, Ismail; Ahmetolan, Semra “Improved Hardy and Rellich type inequalities with two weight functions”, Mathematical Inequalities & Applications, Volume 21, Number 3 (2018), 885–896
23) Kombe, Ismail; Yener, Abdullah “Weighted Rellich type inequalities related to Baouendi-Grushin operators”, Proceedings of the American Mathematical Society, 145(11), 2017, 4845-4857.
22) Goldstein, Jerome; Kombe, Ismail; Yener, Abdullah ” A Unified Approach to Weighted Hardy Type inequalities on Carnot groups” Discrete and Continuous Dynamical Systems-Series A, 37(4), (2017), 2009-2021
21) Kombe, Ismail; Ahmetolan, Semra “Sharp Hardy and Rellich type inequalities with two weight”, Mathematical Inequalities & Applications, Volume 19, Number 3 (2016), 937–948.
20) Kombe, Ismail; Yener, Abdullah “Weighted Hardy and Rellich type inequalities on Riemannian manifolds”, Mathematische Nachrichten, 289 (2016), issue 8-9, 994-1004.
19) Kombe, Ismail, “Hardy and Rellich-type inequalities with remainders for Baouendi-Grushin vector fields’’, Houston Journal of Mathematics, Volume 41, No.3 (2015), 849-873
18) Kombe, Ismail, “ On the nonexistence of positive solutions to Doubly Nonlinear equations for Baouendi-Grushin operators”, Discrete and Continuous Dynamical Systems-Series A (DCDS-A), Volume 33, Number 11&12, (2013), 5167-5176.
17) Kombe, Ismail; Özaydın, Murad, “Hardy-Poincare, Rellich and uncertainty principle inequalities on Riemannian manifolds”, Transactions of the American Mathematical Society, 365 (2013), 5035-5050.
16) Kombe, Ismail; Ahmetolan, Semra, “Sharp uncertainty principle and Hardy-Poincaré inequalities on sub-Riemannian manifolds”, Mathematical Inequalities & Applications, Volume 15, Number 2 (2012), 457–467.
15) Kombe, Ismail, “Sharp weighted Rellich and uncertainty principle inequalities on Carnot groups”, Commun. Appl. Anal. 14 (2010), no. 2, 251–271.
14) Kombe, Ismail; Özaydin, Murad, “Improved Hardy and Rellich inequalities on Riemannian manifolds”, Trans. Amer. Math. Soc. 361 (2009), no. 12, 6191–6203.
13) Goldstein, Jerome A.; Kombe, Ismail, “The Hardy inequality and nonlinear parabolic equations on Carnot groups”, Nonlinear Anal. 69 (2008), no. 12, 4643–4653.
12) Goldstein, Jerome A.; Kombe, Ismail, “Gaussian estimates and instantaneous blowup”, Positivity 12 (2008), no. 1, 75–82.
11) Ruiz Goldstein, Gisèle; Goldstein, Jerome A.; Kombe, Ismail, “The power potential and nonexistence of positive solutions”, Differential equations: inverse and direct problems, 183–195, Lect. Notes Pure Appl. Math., 251, Chapman & Hall/CRC, Boca Raton, FL, 2006,
10) Kombe, Ismail, “Nonlinear degenerate parabolic equations for Baouendi-Grushin operators”, Math. Nachr. 279 (2006), no. 7, 756–773.
9) Kombe, Ismail, “On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients”, Appl. Anal. 85 (2006), no. 5, 467–478.
8) Kombe, Ismail, “Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations”, Abstr. Appl. Anal. 2005, no. 6, 607–617.
7) Goldstein, Gisele Ruiz; Goldstein, Jerome A.; Kombe, Ismail, “Nonlinear parabolic equations with singular coefficient and critical exponent”, Appl. Anal. 84 (2005), no. 6, 571–583.
6) Goldstein, Jerome A.; Kombe, Ismail, “Nonlinear degenerate parabolic equations on the Heisenberg group”, Int. J. Evol. Equ. 1 (2005), no. 1, 1–22.
5) Kombe, Ismail, “The linear heat equation with highly oscillating potential”, Proc. Amer. Math. Soc. 132 (2004), no. 9, 2683–2691.
4) Kombe, Ismail “Doubly nonlinear parabolic equations with singular lower order term”, Nonlinear Anal. 56 (2004), no. 2, 185–199.
3) Kombe, Ismail; “Linear and nonlinear parabolic partial differential equations with singular lower order term”, Thesis (Ph.D.)–The University of Memphis. 2003. 131 pp. ISBN: 978-0496-43293-6, ProQuest LLC, Thesis.
2) Goldstein, Jerome A.; Kombe, Ismail, “Nonlinear degenerate parabolic equations with the singular lower-order term”, Adv. Differential Equations 8 (2003), no. 10, 1153–1192.
1) Goldstein, Jerome A.; Kombe, Ismail, “Instantaneous blow up”, Advances in differential equations and mathematical physics (Birmingham, AL, 2002), 141–150, Contemp. Math., 327, Amer. Math. Soc., Providence, RI, 2003.