Professor Rodrigo Clemente

Olá, sou o professor Rodrigo Clemente. Trabalho na Universidade Federal Rural de Pernambuco. Sou bacharel e mestre em Matemática pela Universidade Federal da Paraíba e doutor em Matemática pela Universidade Federal de Pernambuco. Fiz estágio pós-doutoral na Universidad de Santiago de Chile. Tenho experiência em Matemática, com ênfase em Equações Diferenciais Parciais nos seguintes temas: Problemas elípticos envolvendo não linearidades singulares, simetria e propriedades qualitativas de soluções, princípio do máximo, métodos variacionais e teoria de regularidade.

Hi, I'm Rodrigo Clemente. Actually, I'm professor at Universidade Federal Rural de Pernambuco. I hold a Bachelor's degree and a Master's degrees in Mathematics from Universidade Federal da Paraíba and a PhD in Mathematics from Universidade Federal de Pernambuco. I was a postdoctoral researcher at Universidad de Santiago de Chile. I have experience in Mathematics, with emphasis on Partial Differential Equations in the following subjects: Elliptic problems involving singular nonlinearities, symmetry and qualitative properties of solutions, maximum principle, variational methods and elliptic regularity theory.

ARTIGOS PUBLICADOS | PUBLISHED AND ACCEPTED PAPERS

p-Harmonic functions in the upper half-space. (with E. Abreu, E. Medeiros and J. M. do Ó)

Potential Analysis (2023). LINK

Quasilinear Schrödinger equations with unbounded or decaying potentials in dimension 2. (with G. Carvalho and J.C. Albuquerque)

Mathematische Nachrichten 296 (2023), no.9, 4357-4373. LINK

Touchdown solutions in general MEMS model. (with E. da Silva, J.M. do Ó and E. Shamarova)

Advances in Nonlinear Analysis 12, (2023), no. 1, paper no. 20230102, 18pp. LINK

Elliptic systems involving sublinear and superlinear nonlinearities. (with P. Cerda, D. Ferraz and P. Ubilla)

Journal of Mathematical Analysis and Applications (2022), no.2, paper no. 126419, 20pp. LINK

Quasilinear Schrödinger equations with singular and vanishing potentials involving nonlinearities with critical exponential growth. (with Y.L. Araújo and G. Carvalho)

Topological Methods in Nonlinear Analysis 57 (2021), no.1, 317-342. LINK

Existence of solutions for a fractional Choquard-type equation in $\mathbb{R}$ with critical exponential growth. (with J.C. Albuquerque and E. Barboza)

Zeitschrift für Angewandte Mathematik und Physik 72 (2021), no. 1, 16. LINK

On supercritical problems involving the Laplace operator. (with J.M. do Ó and P. Ubilla)

Proceedings of the Royal Society of Edinburgh - Section A: Mathematics 151 (2021), no. 1, 187-201. LINK

Regularity of stable soutions to quasilinear elliptic equations on Riemannian models. (with J.M. do Ó)

Annales Academiæ Scientiarum Fennicæ 44 (2019), no. 2, 723-738. LINK

Infinitely many small solutions for a sublinear fractional Kirchhoff-Schrödinger-Poisson systems. (with J.C. Albuquerque and D. Ferraz)

Electronic Journal of Differential Equations (2019), no. 13, 16pp. LINK

Existence of bound and ground states for a class of Kirchhoff-Schrödinger equations involving critical Trudinger-Moser growth. (with J.C. Albuquerque and Y.L. Araújo)

Mathematical Methods in the Applied Sciences 42 (2019), no. 3, 806-820. LINK

Some elliptic problems with singular nonlinearity and advection for Riemannian manifolds. (with J.M. do Ó)

Journal of Mathematical Analysis and Applications 460 (2018), no. 2, 582-609. LINK

On Lane-Emden systems with singular nonlinearities and applications to MEMS. (with J.M. do Ó)

Advanced Nonlinear Studies 18 (2018), no. 1, 41-53. LINK