CS
Caterina Sportelli
math.APcs.NAmath.NAmath.OC
On Valency
published · living versionsW_8ej83c2n·v1 · currentpublished
Kernel representations of fractional gradient bilinear forms. Part II. Variable coefficients
with Serena Dipierro, Enrico Valdinoci
1 version
Preprints & journals
22 papers in the corpus · 2022–2026Kernel representations of fractional gradient bilinear forms. Part I. Constant coefficients2610.20110v1 · Serena Dipierro, Caterina Sportelli, Enrico Valdinoci2026 · 0 citationsarXiv
A free boundary analysis of tumor invasion driven by angiogenesis2607.05610v2 · Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli et al.2026 · 0 citationsarXiv
Nonlocal eigenvalue problems and superposition operators2602.18035v1 · Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli et al.2026 · 1 citationarXiv
Maximum principles and spectral analysis for the superposition of operators of fractional order2504.10946v2 · Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli et al.2025 · 1 citationarXiv
Nonlocal operators in divergence form and existence theory for integrable data2504.09976v1 · David Arcoya, Serena Dipierro, Edoardo Proietti Lippi et al.2025 · 2 citationsarXiv
Logistic diffusion equations governed by the superposition of operators of mixed fractional order2501.12967v1 · Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli et al.2025 · 2 citationsarXiv
Optimal embedding results for fractional Sobolev spaces2411.12245v1 · Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli et al.2024 · 1 citationarXiv
Homoclinic solutions for nonlocal equations and applications to the theory of atom dislocation2410.04665v2 · Serena Dipierro, Caterina Sportelli, Enrico Valdinoci2024 · 0 citationsarXiv
A general theory for the -superposition of nonlinear fractional operators2408.14049v1 · Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli et al.2024 · 9 citationsarXiv
Some nonlinear problems for the superposition of fractional operators with Neumann boundary conditions2404.11091v1 · Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli et al.2024 · 6 citationsarXiv
The Neumann condition for the superposition of fractional Laplacians2402.05514v2 · Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli et al.2024 · 9 citationsarXiv
An existence theory for nonlinear superposition operators of mixed fractional order2310.02628v1 · Serena Dipierro, Kanishka Perera, Caterina Sportelli et al.2023 · 18 citationsarXiv
An existence theory for superposition operators of mixed order subject to jumping nonlinearities2309.13895v1 · Serena Dipierro, Kanishka Perera, Caterina Sportelli et al.2023 · 22 citationsarXiv
On existence and multiplicity of solutions for generalized (p, q)-Laplacian equations on unbounded domains2309.13364v1 · Addolorata Salvatore, Caterina Sportelli2023 · 0 citationsarXiv
Nonlocal critical growth elliptic problems with jumping nonlinearities2308.11993v1 · Giovanni Molica Bisci, Kanishka Perera, Raffaella Servadei et al.2023 · 5 citationsarXiv
Theoretical aspects in penalty hyperparameters optimization2301.13542v1 · Flavia Esposito, Laura Selicato, Caterina Sportelli2023 · 3 citationsMediterranean Journal of Mathematics, Volume 20, 2023, 300
A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators2210.14230v1 · Kanishka Perera, Caterina Sportelli2022 · 4 citationsarXiv
Multiple solutions for coupled gradient-type quasilinear elliptic systems with supercritical growth2210.07056v1 · Anna Maria Candela, Caterina Sportelli2022 · 4 citationsAnn. Mat. Pura Appl. 201 (2022) 2341-2369
Bounded solutions for quasilinear modified Schrödinger equations2208.11611v1 · Anna Maria Candela, Addolorata Salvatore, Caterina Sportelli2022 · 15 citationsCalc. Var. Partial Differential Equations, 61, 220 (2022)
Existence and multiplicity results for a class of coupled quasilinear elliptic systems of gradient type2208.10794v1 · Anna Maria Candela, Addolorata Salvatore, Caterina Sportelli2022 · 8 citationsAdv. Nonlinear Stud. 21 (2021) 461-488
New linking theorems with applications to critical growth elliptic problems with jumping nonlinearities2207.01347v3 · Kanishka Perera, Caterina Sportelli2022 · 3 citationsarXiv
Nontrivial solutions for a class of gradient-type quasilinear elliptic systems2203.05184v1 · Anna Maria Candela, Caterina Sportelli2022 · 1 citationTopol. Methods Nonlinear Anal. T.59 nr 2B (2022) 957-986
Career total: 32 works. 22 are in this corpus.
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