Main research area: Nonlinear Analysis and Partial Differential Equations.
Some keywords: Elliptic equations and systems (more precisely, Hénon-Lane-Emden equations, Cooperative and Competitive Schrödinger systems, Choquard equations); Spectral and Shape optimization; Eigenvalue problems; Anisotropic operators; Fully nonlinear operators; Symmetry and Symmetry breaking; Concentration phenomena; Degenerate nonlocal operators; Higher order operators.
Google Scholar: https://scholar.google.com/citations?user=EW9-bhMAAAAJ&hl=it&oi=ao
ResearchGate: https://www.researchgate.net/profile/Delia-Schiera
ORCID: https://orcid.org/0000-0002-6095-3634
Scopus: https://www.scopus.com/authid/detail.uri?authorId=57199646283
Cienciavitae: https://cienciavitae.pt/portal/en/8E11-B0F1-8F34
S. Mauro, D. Schiera, H. Tavares, Least energy solutions for cooperative and competitive systems with Neumann boundary conditions, accepted for publication in J. Differential Equations.
A. Saldaña, D. Schiera, H. Tavares, On least energy solutions to a pure Neumann Lane-Emden system: convergence, symmetry breaking, and multiplicity, accepted for publication in Asymptotic Analysis.
A. Pistoia, D. Schiera, On a critical Hamiltonian system with Neumann boundary conditions, Topol. Methods Nonlinear Anal. Vol. 66 No 1 (2025).
B. Pellacci, G. Pisante, D. Schiera, Spectral optimization for weighted anisotropic problems with Robin conditions, J. Differential Equations 378 (2024), 303–338.
D. Schiera, A family of nonlocal degenerate operators: maximum principles and related properties, Nonlinear Differ. Equ. Appl. 31.1 (2024).
A. Pistoia, D. Schiera, H. Tavares, Existence of solution on the critical hyperbola for a pure Lane-Emden system with Neumann boundary conditions, Int. Math. Res. Not. IMRN, Volume 2024, Issue 1, 745–803.
D. Schiera, A detour on a class of nonlocal degenerate operators, Bruno Pini Mathematical Analysis Seminar, 14(1) (2023), 95–115.
E.M. dos Santos, G.S. Nornberg, D. Schiera, H. Tavares, Principal spectral curves for Lane-Emden fully nonlinear type systems and applications, Calc. Var. Partial Differ. Equ. 62.49 (2023).
I. Birindelli, G. Galise, D. Schiera, Maximum principles and related problems for a class of nonlocal extremal operators, Ann. Mat. Pura Appl. 201 (2022), 2371–2412.
L. Maia, B. Pellacci, D. Schiera, Symmetric positive solutions to nonlinear Choquard equations with potentials, Calc. Var. Partial Differ. Equ. 61.2 (2022), 34 pp.
L. Maia, B. Pellacci, D. Schiera, Positive bound states to nonlinear Choquard equations in the presence of nonsymmetric potentials, Minimax Theory Appl. 7.2 (2022), 321–338.
D. Cassani, D. Schiera, Uniqueness results for higher order Lane-Emden systems, Nonlinear Anal. 198 (2020), 111871, 17 pp.
G.S. Nornberg, D. Schiera, B. Sirakov, A priori estimates and multiplicity for systems of elliptic PDE with natural gradient growth, Discrete Contin. Dyn. Syst. A. 40.6 (2020), 3857–3881.
D. Schiera, Existence of solutions to higher order Lane-Emden type systems, Nonlinear Anal. 168 (2018), 130–153.
D. Schiera, Existence and non-existence results for variational higher order elliptic systems, Discrete Contin. Dyn. Syst. A. 38.10 (2018), 5145–5161.
Outreach papers and dissertations:
D. Schiera, Como Distribuir Recursos para Maximizar a Sobrevivência de uma População?, Outreach paper in Ponto Fixo, journal of the Núcleo de Estudantes de Matemática (NMath) of Instituto Superior Técnico, to appear.
D. Schiera, Existence, non existence and uniqueness results for higher order elliptic systems, PhD thesis, Università degli Studi dell’Insubria, 2019, available at https://irinsubria.uninsubria.it/retrieve/handle/11383/2090688/107791PhD_Thesis_SchieraDelia_completa.pdf.