Personal profile
Research Interests
- Analysis of partial differential equations (PDEs)
- Analysis of stochastic differential equations (SDEs)
- Variable exponent Lebesgue spaces
- Stochastic analysis & applications
- The interplay of probability theory and PDEs
- Probabilistic models of finance and mathematical physics
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)
- Measure-Theoretic Probability
- Topological Methods
- Variational Methods
- Variable Exponent Lebesgue Spaces
Research Interests
- PDEs
- Analysis
- Stochastic Process
- SDEs
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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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Monotone Operator Methods for a Class of Nonlocal Multi-Phase Variable Exponent Problems
Avci, M., Feb. 2026, In: Acta Applicandae Mathematicae. 201, 1, 7.Research output: Contribution to journal › Journal Article › peer-review
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Nehari manifold approach for a singular multi-phase variable exponent problem
Avci, M., 2026, (Accepted/In press) In: Quaestiones Mathematicae.Research output: Contribution to journal › Journal Article › peer-review
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Anisotropic singular equation with (p→(·),q→(·))-Laplacian operator and Hardy-type potential
Avci, M., Dec. 2025, In: Acta Universitatis Sapientiae, Mathematica. 17, 1, 18.Research output: Contribution to journal › Journal Article › peer-review
Open Access1 Citation (Scopus) -
Existence results for a class of singular p(x)-Kirchhoff equations
Avci, M., 2025, In: Complex Variables and Elliptic Equations. 70, 7, p. 1222-1253 32 p.Research output: Contribution to journal › Journal Article › peer-review
3 Citations (Scopus) -
Existence results for the Cox–Ingersoll–Ross model with variable exponent diffusion
Avci, M., 2025, In: AIMS Mathematics. 10, 9, p. 22106-22126 21 p.Research output: Contribution to journal › Journal Article › peer-review
Open Access
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