Craig Cowan

University of Manitoba — Canada

Mathematics · Physical Sciences

13h-index588citations81works0.52yr avg
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Research Topics

Nonlinear Partial Differential Equations(66), Advanced Mathematical Modeling in Engineering(62), Nonlinear Differential Equations Analysis(22), Numerical methods in inverse problems(20), Differential Equations and Boundary Problems(15)

Publications81 total

On a Brezis-Nirenberg problem with advection
Journal of Mathematical Analysis and Applications·2025
The principal eigenvalue of a mixed local and nonlocal operator with drift
Journal of Differential Equations·2025· 2 cited
Positive nonradial solutions of an elliptic equation with critical advection term
Journal of Differential Equations·2025
Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion
Journal of Differential Equations·2025· 1 cited
The Principal Eigenvalue of  A Mixed Local and Nonlocal Operator with Drift
SSRN Electronic Journal·2025· 1 citedOpen Access
The principal eigenvalue of a mixed local and nonlocal operator with drift
arXiv (Cornell University)·2024Open Access
Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion
arXiv (Cornell University)·2024Open Access
Nonradial solutions of a Neumann Hénon equation on a ball
Proceedings of the American Mathematical Society·2024
q-Laplace equation involving the gradient on general bounded and exterior domains
Nonlinear Differential Equations and Applications NoDEA·2023· 2 cited
On supercritical elliptic problems: existence, multiplicity of positive and symmetry breaking solutions
Mathematische Annalen·2023· 9 cited
A nonlinear elliptic problem involving the gradient on a half space
Discrete and Continuous Dynamical Systems·2022· 1 citedOpen Access
Supercritical elliptic problems on nonradial domains via a nonsmooth variational approach
Journal of Differential Equations·2022· 10 cited
Supercritical problems via a fixed point argument on the cone of monotonic functions
Nonlinear Differential Equations and Applications NoDEA·2022· 2 cited
On supercritical elliptic problems: existence, multiplicity of positive and symmetry breaking solutions
arXiv (Cornell University)·2022Open Access
The Gelfand problem on annular domains of double revolution with monotonicity
Proceedings of the American Mathematical Society·2022· 4 cited
Singular solutions of a Hénon equation involving a nonlinear gradient term
Communications on Pure &amp Applied Analysis·2021· 5 citedOpen Access
An Elliptic Problem Involving Large Advection
Potential Analysis·2021· 1 cited
A supercritical variable exponent problem
Journal of Mathematical Analysis and Applications·2021
Some elliptic problems involving the gradient on general bounded and exterior domains
Calculus of Variations and Partial Differential Equations·2021· 3 cited
Positive supersolutions of fourth-order nonlinear elliptic equations: explicit estimates and Liouville theorems
Journal of Differential Equations·2021· 8 cited
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Frequent Co-authors

A. Aghajani(13), Nassif Ghoussoub(8), Abbas Moameni(5), A. Razani(4), Pierpaolo Esposito(3), Mostafa Fazly(3), S. H. Lui(3), Shangbing Ai(3), Mohammad El Smaily(3), Pierre Aime Feulefack(3), Amir Moradifam(1), Vicenţiu D. Rădulescu(1), Albertus C. den Brinker(1), Maurice Holt(1), P. M. Grant(1), W.A. Sandham(1)