Research output per year
Research output per year
Personal profile
Research Interests
My general research interests lie in Analysis of Partial Differential Equations (Deterministic & Stochastic) and its many varied applications. I intend to continue my work with a possible extension to study of Mathematical Finance problems arising from applied and theoretical problems in Stochastic Processes.
Personal profile
*Differential equations
*Variable exponent Lebesgue space
*Nonlinear analysis
*Variational approach and optimization
*Stochastic processes and their applications
Education/Academic qualification
Post-Doc, Morgan State University
2014 → 2105
Award Date: 30 Sep. 2015
PhD, Dicle University
… → 2011
M.Sc., Dicle University
… → 2007
B.Sc., Dicle University
… → 2001
External positions
Keywords
- Q Science (General)
Research Interests
- PDEs
- Analysis
- Stochastic Process
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Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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Existence results for a class of singular p(x)-Kirchhoff equations
Avci, M., 2024, (Accepted/In press) In: Complex Variables and Elliptic Equations.Research output: Contribution to journal › Journal Article › peer-review
1 Citation (Scopus) -
A VARIATIONAL APPROACH TO DISCRETE ELLIPTIC PROBLEMS WITH A WEIGHT
Heidarkhani, S., Gharehgazlouei, F. & Avci, M., 2022, In: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis. 29, 5, p. 377-390 14 p.Research output: Contribution to journal › Journal Article › peer-review
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Critical points approaches to a nonlocal elliptic problem driven by p(x)-biharmonic operator
Heidarkhani, S., Moradi, S. & Avci, M., 1 Feb. 2022, In: Georgian Mathematical Journal. 29, 1, p. 55-69 15 p.Research output: Contribution to journal › Journal Article › peer-review
8 Citations (Scopus) -
Multiple Solutions For A Class Of p(x)-Kirchhoff-Type Equations∗
Heidarkhani, S., Ghobadi, A. & Avci, M., 2022, In: Applied Mathematics E - Notes. 22, p. 160-168 9 p.Research output: Contribution to journal › Comment/debate
5 Citations (Scopus) -
Solutions of Ginzburg-Landau-Type Equations Involving Variable Exponent
Avci, M., Mar. 2022, In: Thai Journal of Mathematics. 20, 1, p. 369-384 16 p.Research output: Contribution to journal › Journal Article › peer-review
Prizes
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Scientific and Technological Research Council of Turkey (TUBITAK), International Postdoctoral Research Fellowship Program
Avci, M. (Recipient), Sep. 2014
Prize: Fellowship grant