Freddi, Ruggero Morse index of multiple blow-up solutions to the two-dimensional sinh-Poisson equation. (English) Zbl 1499.35461 Anal. Theory Appl. 38, No. 1, 26-78 (2022). MSC: 35P30 35B40 PDFBibTeX XMLCite \textit{R. Freddi}, Anal. Theory Appl. 38, No. 1, 26--78 (2022; Zbl 1499.35461) Full Text: DOI arXiv
Grossi, Massimo; Ianni, Isabella; Luo, Peng; Yan, Shusen Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two. (English. French summary) Zbl 1489.35138 J. Math. Pures Appl. (9) 157, 145-210 (2022). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35J91 35A02 35B40 PDFBibTeX XMLCite \textit{M. Grossi} et al., J. Math. Pures Appl. (9) 157, 145--210 (2022; Zbl 1489.35138) Full Text: DOI arXiv
Ianni, Isabella; Saldaña, Alberto Sharp asymptotic behavior of radial solutions of some planar semilinear elliptic problems. (English) Zbl 1486.35227 J. Differ. Equations 304, 102-164 (2021). Reviewer: Florin Catrina (New York) MSC: 35J91 35B06 35B40 PDFBibTeX XMLCite \textit{I. Ianni} and \textit{A. Saldaña}, J. Differ. Equations 304, 102--164 (2021; Zbl 1486.35227) Full Text: DOI arXiv
Ao, Weiwei; Liu, Chao Asymptotic behavior of sign-changing radial solutions of a semilinear elliptic equation in \(\mathbb{R}^2\) when exponent approaches \(+\infty\). (English) Zbl 1458.35195 Discrete Contin. Dyn. Syst. 40, No. 8, 5047-5077 (2020). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35J91 35B07 35B40 35J61 PDFBibTeX XMLCite \textit{W. Ao} and \textit{C. Liu}, Discrete Contin. Dyn. Syst. 40, No. 8, 5047--5077 (2020; Zbl 1458.35195) Full Text: DOI
Zhang, Yibin; Shi, Lei Concentrating solutions for a planar elliptic problem with large nonlinear exponent and Robin boundary condition. (English) Zbl 1420.35089 Adv. Nonlinear Anal. 8, 1252-1285 (2019); retraction ibid. 8, 1286 (2019). MSC: 35J25 35B25 35B38 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{L. Shi}, Adv. Nonlinear Anal. 8, 1252--1285 (2019; Zbl 1420.35089) Full Text: DOI
De Marchis, F.; Grossi, M.; Ianni, I.; Pacella, F. Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains. (English. French summary) Zbl 1422.35075 J. Math. Pures Appl. (9) 128, 339-378 (2019). MSC: 35J91 35J40 35B09 PDFBibTeX XMLCite \textit{F. De Marchis} et al., J. Math. Pures Appl. (9) 128, 339--378 (2019; Zbl 1422.35075) Full Text: DOI arXiv
De Marchis, F.; Grossi, M.; Ianni, I.; Pacella, F. \(L^{\infty}\)-norm and energy quantization for the planar Lane-Emden problem with large exponent. (English) Zbl 1417.35042 Arch. Math. 111, No. 4, 421-429 (2018). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{F. De Marchis} et al., Arch. Math. 111, No. 4, 421--429 (2018; Zbl 1417.35042) Full Text: DOI
De Marchis, Francesca; Ianni, Isabella; Pacella, Filomena Asymptotic analysis and sign-changing bubble towers for Lane-Emden problems. (English) Zbl 1329.35155 J. Eur. Math. Soc. (JEMS) 17, No. 8, 2037-2068 (2015). Reviewer: Zhijie Chen (Taipei) MSC: 35J91 35B40 35B05 35B06 PDFBibTeX XMLCite \textit{F. De Marchis} et al., J. Eur. Math. Soc. (JEMS) 17, No. 8, 2037--2068 (2015; Zbl 1329.35155) Full Text: DOI arXiv
Zhang, Yi-Bin; Yang, Hai-Tao Multi-peak nodal solutions for a two-dimensional elliptic problem with large exponent in weighted nonlinearity. (English) Zbl 1316.35112 Acta Math. Appl. Sin., Engl. Ser. 31, No. 1, 261-276 (2015). MSC: 35J25 35B25 35B38 PDFBibTeX XMLCite \textit{Y.-B. Zhang} and \textit{H.-T. Yang}, Acta Math. Appl. Sin., Engl. Ser. 31, No. 1, 261--276 (2015; Zbl 1316.35112) Full Text: DOI
Wang, Liping; Ye, Dong Concentrating solutions for an anisotropic elliptic problem with large exponent. (English) Zbl 1320.35081 Discrete Contin. Dyn. Syst. 35, No. 8, 3771-3797 (2015). Reviewer: Guy Katriel (Haifa) MSC: 35B40 35B45 35J25 35J61 PDFBibTeX XMLCite \textit{L. Wang} and \textit{D. Ye}, Discrete Contin. Dyn. Syst. 35, No. 8, 3771--3797 (2015; Zbl 1320.35081) Full Text: DOI
Zhang, Yibin; Xiao, Qingkun; Yang, Haitao Boundary concentrating solutions for an anisotropic planar nonlinear Neumann problem with large exponent. (English) Zbl 1317.35051 J. Math. Anal. Appl. 426, No. 1, 138-171 (2015). Reviewer: Dagmar Medková (Praha) MSC: 35J25 35J65 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Math. Anal. Appl. 426, No. 1, 138--171 (2015; Zbl 1317.35051) Full Text: DOI
Chang, Yibin; Yang, Haitao Concentrating solutions for a two-dimensional elliptic problem with large exponent in weighted nonlinearity. (English) Zbl 1348.35063 Complex Var. Elliptic Equ. 59, No. 8, 1096-1117 (2014). Reviewer: Josef Diblík (Brno) MSC: 35J20 35B38 35B40 35B09 PDFBibTeX XMLCite \textit{Y. Chang} and \textit{H. Yang}, Complex Var. Elliptic Equ. 59, No. 8, 1096--1117 (2014; Zbl 1348.35063) Full Text: DOI
Grossi, Massimo; Grumiau, Christopher; Pacella, Filomena Lane Emden problems with large exponents and singular Liouville equations. (English) Zbl 1292.35109 J. Math. Pures Appl. (9) 101, No. 6, 735-754 (2014). Reviewer: Lubomira Softova (Aversa) MSC: 35J25 35J91 35B44 35B40 35B65 35B53 PDFBibTeX XMLCite \textit{M. Grossi} et al., J. Math. Pures Appl. (9) 101, No. 6, 735--754 (2014; Zbl 1292.35109) Full Text: DOI arXiv
Grossi, Massimo; Grumiau, Christopher; Pacella, Filomena Lane-Emden problems: asymptotic behavior of low energy nodal solutions. (English) Zbl 1266.35106 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 1, 121-140 (2013). MSC: 35J91 35B40 35B32 PDFBibTeX XMLCite \textit{M. Grossi} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 1, 121--140 (2013; Zbl 1266.35106) Full Text: DOI arXiv
Bartsch, Thomas; Pistoia, Angela; Weth, Tobias \(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations. (English) Zbl 1195.35250 Commun. Math. Phys. 297, No. 3, 653-686 (2010); erratum ibid. 333, No. 2, 1107 (2015). MSC: 35Q35 35J05 35Q31 35J25 76D17 PDFBibTeX XMLCite \textit{T. Bartsch} et al., Commun. Math. Phys. 297, No. 3, 653--686 (2010; Zbl 1195.35250) Full Text: DOI
Takahashi, Futoshi Morse indices and the number of maximum points of some solutions to a two-dimensional elliptic problem. (English) Zbl 1173.35501 Arch. Math. 93, No. 2, 191-197 (2009). MSC: 35J65 35B40 35B38 35J20 PDFBibTeX XMLCite \textit{F. Takahashi}, Arch. Math. 93, No. 2, 191--197 (2009; Zbl 1173.35501) Full Text: DOI Link
Castro, Hernán Solutions with spikes at the boundary for a 2D nonlinear Neumann problem with large exponent. (English) Zbl 1173.35011 J. Differ. Equations 246, No. 8, 2991-3037 (2009). Reviewer: Stepan Agop Tersian (Rousse) MSC: 35B25 35A08 35J65 PDFBibTeX XMLCite \textit{H. Castro}, J. Differ. Equations 246, No. 8, 2991--3037 (2009; Zbl 1173.35011) Full Text: DOI
Gladiali, Francesca; Grossi, Massimo On the spectrum of a nonlinear planar problem. (English) Zbl 1166.35028 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 1, 191-222 (2009). MSC: 35P05 35P20 35P15 PDFBibTeX XMLCite \textit{F. Gladiali} and \textit{M. Grossi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 1, 191--222 (2009; Zbl 1166.35028) Full Text: DOI EuDML
Esposito, Pierpaolo; Musso, Monica; Pistoia, Angela On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity. (English) Zbl 1387.35219 Proc. Lond. Math. Soc. (3) 94, No. 2, 497-519 (2007). MSC: 35J60 35B33 PDFBibTeX XMLCite \textit{P. Esposito} et al., Proc. Lond. Math. Soc. (3) 94, No. 2, 497--519 (2007; Zbl 1387.35219) Full Text: DOI Link
Esposito, Pierpaolo; Pistoia, Angela; Wei, Juncheng Concentrating solutions for the Hénon equation in \(\mathbb R^{2}\). (English) Zbl 1173.35504 J. Anal. Math. 100, 249-280 (2006). MSC: 35J70 35B25 35B65 35H20 PDFBibTeX XMLCite \textit{P. Esposito} et al., J. Anal. Math. 100, 249--280 (2006; Zbl 1173.35504) Full Text: DOI
Esposito, Pierpaolo; Musso, Monica; Pistoia, Angela Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent. (English) Zbl 1254.35083 J. Differ. Equations 227, No. 1, 29-68 (2006). MSC: 35J60 35B33 35J25 35J20 35B40 PDFBibTeX XMLCite \textit{P. Esposito} et al., J. Differ. Equations 227, No. 1, 29--68 (2006; Zbl 1254.35083) Full Text: DOI Link
Grossi, Massimo Asymptotic behaviour of the Kazdan-Warner solution in the annulus. (English) Zbl 1170.35420 J. Differ. Equations 223, No. 1, 96-111 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J65 35B05 35J25 35J60 PDFBibTeX XMLCite \textit{M. Grossi}, J. Differ. Equations 223, No. 1, 96--111 (2006; Zbl 1170.35420) Full Text: DOI
Esposito, Pierpaolo; Grossi, Massimo; Pistoia, Angela On the existence of blowing-up solutions for a mean field equation. (English) Zbl 1129.35376 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 2, 227-257 (2005). MSC: 35J60 35B40 47N20 PDFBibTeX XMLCite \textit{P. Esposito} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 2, 227--257 (2005; Zbl 1129.35376) Full Text: DOI Numdam EuDML
Gladiali, Francesca; Grossi, Massimo Some results for the Gelfand’s problem. (English) Zbl 1140.35417 Commun. Partial Differ. Equations 29, No. 9-10, 1335-1364 (2004). Reviewer: Messoud A. Efendiev (München) MSC: 35J60 35A08 35B45 PDFBibTeX XMLCite \textit{F. Gladiali} and \textit{M. Grossi}, Commun. Partial Differ. Equations 29, No. 9--10, 1335--1364 (2004; Zbl 1140.35417) Full Text: DOI