Items where Division is "05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Analysis (Martinazzi)"

Article

Hyder, Ali and Iula, Stefano and Martinazzi, Luca. (2018) Large blow-up sets for the prescribed Q-curvature equation in the Euclidean. Communications in Contemporary Mathematics, 20 (2). p. 1750026.

Da Lio, Francesca and Martinazzi, Luca. (2017) The nonlocal Liouville-type equation in R and conformal immersions of the disk. Calculus of Variations and Partial Differential Equations, 56 (5). p. 152.

Mancini, Gabriele and Martinazzi, Luca. (2017) The Moser-Trudinger inequality and its extremals on a disk via energy estimates. Calculus of variations and partial differential equations, 56 (4). p. 94.

Hyder, Ali. (2016) Moser functions and fractional Moser-Trudinger type inequalities. Nonlinear Analysis, 146. pp. 185-210.

Iula, Stefano and Maalaoui, Ali and Martinazzi, Luca. (2016) A fractional Moser-Trudinger type inequalitiy in one dimension and its critical points. Differential and Integral Equations, 29 (5/6). pp. 455-492.

Maalaoui, Ali and Martinazzi, Luca and Schikorra, Armin. (2016) Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequality in odd dimension. Communications Partial Differential Equations, 41 (10). pp. 1593-1618.

Mancini, Gabriele. (2016) Onofri-type inequalities for singular Liouville equations. Journal of Geometric Analysis, 26 (2). pp. 1202-1230.

Battaglia, Luca and Mancini, Gabriele. (2015) A note on compactness properties of the singular Toda system. Accademia Nazionale dei Lincei. Atti. Matematica e Applicazioni. Rendiconti, 26 (3). pp. 299-307.

Da Lio, Francesca and Martinazzi, Luca and Riviere, Tristan. (2015) Blow-up analysis of a nonlocal Liouville-type equation. Analysis & PDE, Vol. 8, H. 7. pp. 1757-1805.

Jin, Tianling and Maalaoui, Ali and Martinazzi, Luca and Xiong, Jingang. (2015) Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three. Calculus of variations and partial differential equations, Vo. 52, H. 3-4. pp. 469-488.

Martinazzi, Luca. (2015) Fractional Adams–Moser–Trudinger type inequalities. Nonlinear Analysis, 127. pp. 263-278.

Martinazzi, Luca and Hyder, Ali. (2015) Conformal metrics on R^{2m} with constant Q-curvature, prescribed volume and asymptotic behavior. Discrete and continuous dynamical systems. Series A, Vol. 35, H. 1. pp. 283-299.

Battaglia, Luca and Mancini, Gabriele. (2013) Remarks on the Moser-Trudinger inequality. Advances in Nonlinear Analysis, 2 (4). pp. 389-425.

Book

Giaquinta, Mariano and Martinazzi, Luca. (2012) An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. Pisa.

Giaquinta, Mariano and Martinazzi, Luca. (2005) An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs. Pisa.

Thesis

Hyder, Ali. Local and nonlocal problems regarding the Q-curvature and the Adams-Moser-Trudinger inequalities. 2017, Doctoral Thesis, University of Basel, Faculty of Science.

Iula, Stefano. On local and nonlocal Moser-Trudinger inequalities. 2017, Doctoral Thesis, University of Basel, Faculty of Science.

Preprint

Da Lio, Francesca and Martinazzi, Luca. (2016) The nonlocal Liouville-type equation in R and conformal immersions of the disk with boundary singularities. Preprints Fachbereich Mathematik, 2016 (15).

Hyder, Ali. (2016) Conformally Euclidean metrics on $\mathbb{R}^n$ with arbitrary total Q-curvature. Preprints Fachbereich Mathematik, 2016 (16).

Hyder, Ali and Iula, Stefano and Martinazzi, Luca. (2016) Large blow-up sets for the prescribed Q-curvature equation in the Euclidean space. Preprints Fachbereich Mathematik, 2016 (21).

Iula, Stefano. (2016) A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces in dimension one. Preprints Fachbereich Mathematik, 2016 (33).

Iula, Stefano and Mancini, Gabriele. (2016) Extremal functions for singular Moser-Trudinger embeddings. Preprints Fachbereich Mathematik, 2016 (01).

Mancini, Gabriele and Martinazzi, Luca. (2016) The Moser-Trudinger inequality and its extremals on a disk via energy estimates. Preprints Fachbereich Mathematik, 2016 (17).

Hyder, Ali. (2015) Existence of entire solutions to a fractional Liouville equation in R^n. Preprints Fachbereich Mathematik, 2015 (01).

Hyder, Ali. (2015) Moser functions and fractional Moser-Trudinger type inequalities. Preprints Fachbereich Mathematik, 2015 (32).

Hyder, Ali. (2015) Structure of conformal metrics on R^n with constant Q-curvature. Preprints Fachbereich Mathematik, 2015 (07).

Iula, Stefano and Maalaoui, Ali and Martinazzi, Luca. (2015) A fractional Moser-Trudinger type inequality in one dimension and its critical points. Preprints Fachbereich Mathematik, 2015 (06).

Maalaoui, Ali and Martinazzi, Luca and Schikorra, Armin. (2015) Blow-up behaviour of a fractional Adams-Moser-Trudinger type inequalityin odd dimension. Preprints Fachbereich Mathematik, 2015 (16).

Martinazzi, Luca. (2015) Fractional Adams-Moser-Trudinger type inequalities. Preprints Fachbereich Mathematik, 2015 (22).

Martinazzi, Luca and Riviere, Tristan and Da Lio, Francesca. (2015) Blow-up analysis of a nonlocal Liouville-type equation. Preprints Fachbereich Mathematik, 2015 (15).

Hyder, Ali and Martinazzi, Luca. (2014) Conformal Metrics on $R^{2m}$ with Constant Q-Curvature, Prescribed Volume and Asymptotic Behavior. Preprints Fachbereich Mathematik, 2014 (02).