ArticlePositive supersolutions of non-autonomous quasilinear elliptic equations with mixed reaction

• Asadollah Aghajani,
• Vicentiu D. Radulescu

Annales de l'Institut Fourier (accepted), 2022

Posted by: Asadollah Aghajani

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ArticleThe Gelfand problem on annular domains of double revolution with monotonicity

• Asadollah Aghajani,
• Craig Cowan,
• ABBAS MOAMENI

Proceedings of the American Mathematical Society (accepted), 2022

• Gelfand problem
• extremal solution
• semilinear elliptic equation.

Posted by: Asadollah Aghajani

ArticleA supercritical variable exponent problem

• Asadollah Aghajani,
• Craig Cowan

Journal of Mathematical Analysis and Applications 505 (2), 125–135, 2022

• elliptic equation
• Variable exponent
• Existence

Posted by: Asadollah Aghajani

DOI

ArticleSome elliptic problems involving the gradient on general bounded and exterior domains

• Asadollah Aghajani,
• Craig Cowan

Calculus of Variations and Partial Differential Equations 60 (188), 323-345, 2021

Posted by: Asadollah Aghajani

DOI

ArticlePositive supersolutions of fourth-order nonlinear elliptic equations: explicit estimates and Liouville theorems

• Asadollah Aghajani,
• Craig Cowan,
• Vicentiu D. Radulescu

Journal of Differential Equations 298, 323-345, 2021

• Biharmonic operator
• Super-subsolution
• Liouville theorem
• Non-autonomous problem
• Fourth-order nonlinear eigenvalue problem

Posted by: Asadollah Aghajani

ArticleA note on the nonexistence of positive supersolutions to elliptic equations with gradient terms

• Asadollah Aghajani,
• Craig Cowan

Annali di Matematica Pura ed Applicata (1923 -) 200, 125–135, 2021

• Liouville-type theorems
• Supersolutions
• Gradient term

Posted by: Asadollah Aghajani

DOI

ArticleSingular solutions of elliptic equations on a perturbed cone

• Asadollah Aghajani,
• Craig Cowan

Journal of Differential Equations 266 (6), 3328-3366, 2019

Posted by: Asadollah Aghajani

DOIfulltext

ArticleRegularity of the extremal solutions associated to elliptic systems

• Asadollah Aghajani,
• Craig Cowan

Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149 (4), 1037-1046., 2019

• Extremal solution; Stable solution
• Regularity of solutions
• Elliptic systems.

Posted by: Asadollah Aghajani

arXiv

ArticleSingular solutions of elliptic equations involving nonlinear gradient terms on perturbations of the ball

• Asadollah Aghajani,
• Craig Cowan,
• S.H. Lui

Journal of Differential Equations 264 (4), 2865-2896, 2018

Posted by: Asadollah Aghajani

DOIfulltext

ArticleRegularity of extremal solutions of semilinaer fourth-order elliptic problems with general nonlinearities

• Asadollah Aghajani,
• S.F. Mottaghi

Communications on Pure and Applied Analysis (CPAA) 17 (3), 887-898, 2018

• Biharmonic;
• extremal solution;
• regularity of solutions

Posted by: Asadollah Aghajani

fulltext