Barbatis, Gerassimos; Tertikas, Achilles Sobolev improvements on sharp Rellich inequalities. arXiv:2312.00433 Preprint, arXiv:2312.00433 [math.AP] (2023). MSC: 35A23 35G05 35G20 31B30 35J30 46E35 BibTeX Cite \textit{G. Barbatis} and \textit{A. Tertikas}, ``Sobolev improvements on sharp Rellich inequalities'', Preprint, arXiv:2312.00433 [math.AP] (2023) Full Text: arXiv OA License
Barbatis, G.; Tertikas, A. Best Sobolev constants in the presence of sharp Hardy terms in Euclidean and hyperbolic space. (English) Zbl 1429.35010 Bull. Hell. Math. Soc. 63, 64-96 (2019). MSC: 35A23 35J60 46E35 35J75 58E35 PDFBibTeX XMLCite \textit{G. Barbatis} and \textit{A. Tertikas}, Bull. Hell. Math. Soc. 63, 64--96 (2019; Zbl 1429.35010) Full Text: arXiv Link
Barbatis, G.; Filippas, S.; Tertikas, A. Sharp Hardy and Hardy-Sobolev inequalities with point singularities on the boundary. (English. French summary) Zbl 1395.35004 J. Math. Pures Appl. (9) 117, 146-184 (2018). MSC: 35A23 35J20 35J75 46E35 26D10 35J60 PDFBibTeX XMLCite \textit{G. Barbatis} et al., J. Math. Pures Appl. (9) 117, 146--184 (2018; Zbl 1395.35004) Full Text: DOI arXiv
Barbatis, Gerassimos; Tertikas, Achilles On the Hardy constant of some non-convex planar domains. (English) Zbl 1335.35003 Citti, Giovanna (ed.) et al., Geometric methods in PDE’s. Cham: Springer (ISBN 978-3-319-02665-7/hbk; 978-3-319-02666-4/ebook). Springer INdAM Series 13, 15-41 (2015). MSC: 35A23 35J20 35J75 46E35 26D10 35P15 PDFBibTeX XMLCite \textit{G. Barbatis} and \textit{A. Tertikas}, Springer INdAM Ser. 13, 15--41 (2015; Zbl 1335.35003) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Filippas, Stathis; Tertikas, Achilles Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities. (English) Zbl 1336.26023 Calc. Var. Partial Differ. Equ. 54, No. 3, 2465-2481 (2015). Reviewer: Javier Soria (Barcelona) MSC: 26D10 46E35 35J20 49J40 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Calc. Var. Partial Differ. Equ. 54, No. 3, 2465--2481 (2015; Zbl 1336.26023) Full Text: DOI arXiv
Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles Trace Hardy-Sobolev-Maz’ya inequalities for the half fractional Laplacian. (English) Zbl 1316.35290 Commun. Pure Appl. Anal. 14, No. 2, 373-382 (2015). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 35R11 35J60 42B20 26D10 47G30 46E35 35P15 35J15 PDFBibTeX XMLCite \textit{S. Filippas} et al., Commun. Pure Appl. Anal. 14, No. 2, 373--382 (2015; Zbl 1316.35290) Full Text: DOI arXiv
Filippas, Stathis; Moschini, Luisa; Tertikas, Achilles Improving \(L^2\) estimates to Harnack inequalities. (English) Zbl 1178.35097 Proc. Lond. Math. Soc. (3) 99, No. 2, 326-352 (2009). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B45 26D10 35K20 35K67 PDFBibTeX XMLCite \textit{S. Filippas} et al., Proc. Lond. Math. Soc. (3) 99, No. 2, 326--352 (2009; Zbl 1178.35097) Full Text: DOI arXiv
Adimurthi; Filippas, Stathis; Tertikas, Achilles On the best constant of Hardy-Sobolev inequalities. (English) Zbl 1165.35484 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 8, 2826-2833 (2009). MSC: 35R45 35J60 46E35 26D10 35J15 PDFBibTeX XMLCite \textit{Adimurthi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 8, 2826--2833 (2009; Zbl 1165.35484) Full Text: DOI arXiv
Filippas, S.; Maz’ya, V.; Tertikas, A. Critical Hardy–Sobolev inequalities. (English) Zbl 1151.35368 J. Math. Pures Appl. (9) 87, No. 1, 37-56 (2007). MSC: 35J65 46E35 26D10 58J05 PDFBibTeX XMLCite \textit{S. Filippas} et al., J. Math. Pures Appl. (9) 87, No. 1, 37--56 (2007; Zbl 1151.35368) Full Text: DOI arXiv
Tertikas, A.; Zographopoulos, N. B. Best constants in the Hardy-Rellich inequalities and related improvements. (English) Zbl 1160.26010 Adv. Math. 209, No. 2, 407-459 (2007). MSC: 26D10 26D15 35J40 46E35 PDFBibTeX XMLCite \textit{A. Tertikas} and \textit{N. B. Zographopoulos}, Adv. Math. 209, No. 2, 407--459 (2007; Zbl 1160.26010) Full Text: DOI arXiv
Barbatis, G.; Tertikas, A. On a class of Rellich inequalities. (English) Zbl 1097.35039 J. Comput. Appl. Math. 194, No. 1, 156-172 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J20 35P20 35P99 26D10 47A75 PDFBibTeX XMLCite \textit{G. Barbatis} and \textit{A. Tertikas}, J. Comput. Appl. Math. 194, No. 1, 156--172 (2006; Zbl 1097.35039) Full Text: DOI arXiv
Barbatis, G.; Filippas, S.; Tertikas, A. A unified approach to improved \(L^p\) Hardy inequalities with best constants. (English) Zbl 1129.26019 Trans. Am. Math. Soc. 356, No. 6, 2169-2196 (2004). MSC: 26D15 26D10 35J20 46E35 PDFBibTeX XMLCite \textit{G. Barbatis} et al., Trans. Am. Math. Soc. 356, No. 6, 2169--2196 (2004; Zbl 1129.26019) Full Text: DOI arXiv
Barbatis, G.; Filippas, S.; Tertikas, A. Refined geometric \(L^ p\) Hardy inequalities. (English) Zbl 1071.26011 Commun. Contemp. Math. 5, No. 6, 869-881 (2003). Reviewer: Bohumír Opic (Praha) MSC: 26D15 35J20 46E35 26D10 35P20 47A75 PDFBibTeX XMLCite \textit{G. Barbatis} et al., Commun. Contemp. Math. 5, No. 6, 869--881 (2003; Zbl 1071.26011) Full Text: DOI arXiv
Barbatis, G.; Filippas, S.; Tertikas, A. Series expansion for \(L^p\) Hardy inequalities. (English) Zbl 1035.26014 Indiana Univ. Math. J. 52, No. 1, 171-190 (2003). Reviewer: Constantin Niculescu (Craiova) MSC: 26D10 35J20 46E35 PDFBibTeX XMLCite \textit{G. Barbatis} et al., Indiana Univ. Math. J. 52, No. 1, 171--190 (2003; Zbl 1035.26014) Full Text: DOI arXiv
Tertikas, Achilles Uniqueness and nonuniqueness of positive solutions for a semilinear elliptic equation in \(\mathbb{R}^ n\). (English) Zbl 0823.35052 Differ. Integral Equ. 8, No. 4, 829-848 (1995). Reviewer: K.Pflüger (Berlin) MSC: 35J60 35B40 35P30 PDFBibTeX XMLCite \textit{A. Tertikas}, Differ. Integral Equ. 8, No. 4, 829--848 (1995; Zbl 0823.35052)