Salort, Ariel; Troestler, Christophe A computer assisted proof of the symmetries of least energy nodal solutions on squares. (English) Zbl 07523381 Minimax Theory Appl. 7, No. 2, 365-380 (2022). MSC: 35J05 35J91 35J25 35B06 PDF BibTeX XML Cite \textit{A. Salort} and \textit{C. Troestler}, Minimax Theory Appl. 7, No. 2, 365--380 (2022; Zbl 07523381) Full Text: Link OpenURL
Jin, Sangdon Multi-bump solutions for nonlinear elliptic equations involving critical Sobolev exponents. (English) Zbl 07515350 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112829, 26 p. (2022). MSC: 35J91 35A01 PDF BibTeX XML Cite \textit{S. Jin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112829, 26 p. (2022; Zbl 07515350) Full Text: DOI OpenURL
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 07453387 J. Math. Pures Appl. (9) 157, 145-210 (2022). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35J91 35A02 35B40 PDF BibTeX XML Cite \textit{M. Grossi} et al., J. Math. Pures Appl. (9) 157, 145--210 (2022; Zbl 07453387) Full Text: DOI arXiv OpenURL
Aghajani, A.; Cowan, C. A supercritical variable exponent problem. (English) Zbl 1479.35457 J. Math. Anal. Appl. 505, No. 2, Article ID 125603, 9 p. (2022). MSC: 35J91 35J25 35A01 PDF BibTeX XML Cite \textit{A. Aghajani} and \textit{C. Cowan}, J. Math. Anal. Appl. 505, No. 2, Article ID 125603, 9 p. (2022; Zbl 1479.35457) Full Text: DOI OpenURL
Fazekas, Borbála; Pacella, Filomena; Plum, Michael Approximate nonradial solutions for the Lane-Emden problem in the ball. (English) Zbl 1473.35261 Adv. Nonlinear Anal. 11, 268-284 (2022). MSC: 35J62 35J25 35B32 35A01 PDF BibTeX XML Cite \textit{B. Fazekas} et al., Adv. Nonlinear Anal. 11, 268--284 (2022; Zbl 1473.35261) Full Text: DOI OpenURL
Amadori, Anna Lisa The asymptotically linear Hénon problem. (English) Zbl 1464.35135 Commun. Contemp. Math. 23, No. 4, Article ID 2050042, 39 p. (2021). MSC: 35J91 35J25 35B06 35B40 PDF BibTeX XML Cite \textit{A. L. Amadori}, Commun. Contemp. Math. 23, No. 4, Article ID 2050042, 39 p. (2021; Zbl 1464.35135) Full Text: DOI arXiv OpenURL
Gladiali, F.; Ianni, I. Quasi-radial solutions for the Lane-Emden problem in the ball. (English) Zbl 1437.35336 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 13, 61 p. (2020). MSC: 35J61 35J25 35A01 35J20 PDF BibTeX XML Cite \textit{F. Gladiali} and \textit{I. Ianni}, NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 2, Paper No. 13, 61 p. (2020; Zbl 1437.35336) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{F. De Marchis} et al., J. Math. Pures Appl. (9) 128, 339--378 (2019; Zbl 1422.35075) Full Text: DOI arXiv OpenURL
Ai, Shangbing; Cowan, Craig Critical elliptic equations via a dynamical systems approach. (English) Zbl 1418.35185 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 182, 97-112 (2019). MSC: 35J91 35J25 PDF BibTeX XML Cite \textit{S. Ai} and \textit{C. Cowan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 182, 97--112 (2019; Zbl 1418.35185) Full Text: DOI OpenURL
Aghajani, A.; Cowan, C. Singular solutions of elliptic equations on a perturbed cone. (English) Zbl 1412.35141 J. Differ. Equations 266, No. 6, 3328-3366 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35J91 35A01 35B09 PDF BibTeX XML Cite \textit{A. Aghajani} and \textit{C. Cowan}, J. Differ. Equations 266, No. 6, 3328--3366 (2019; Zbl 1412.35141) Full Text: DOI OpenURL
Guo, Yuxia; Li, Benniao; Pistoia, Angela; Yan, Shusen Infinitely many non-radial solutions to a critical equation on annulus. (English) Zbl 1405.35061 J. Differ. Equations 265, No. 9, 4076-4100 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35J91 35B33 PDF BibTeX XML Cite \textit{Y. Guo} et al., J. Differ. Equations 265, No. 9, 4076--4100 (2018; Zbl 1405.35061) Full Text: DOI arXiv OpenURL
Gui, Changfeng; Liu, Yong; Wei, Juncheng Two-end solutions to the Allen-Cahn equation in \(\mathbb{R}^3\). (English) Zbl 1386.35120 Adv. Math. 320, 926-992 (2017). Reviewer: David Kapanadze (Tbilisi) MSC: 35J91 35J61 49Q05 35B07 PDF BibTeX XML Cite \textit{C. Gui} et al., Adv. Math. 320, 926--992 (2017; Zbl 1386.35120) Full Text: DOI arXiv OpenURL
Zhang, Zhen-hui; Xu, Hao-yuan Existence of multi-peak solutions for \(p\)-Laplace problems in \(\mathbb R^N\). (English) Zbl 1339.35110 Acta Math. Appl. Sin., Engl. Ser. 31, No. 4, 1061-1072 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 35J20 35J65 35B09 PDF BibTeX XML Cite \textit{Z.-h. Zhang} and \textit{H.-y. Xu}, Acta Math. Appl. Sin., Engl. Ser. 31, No. 4, 1061--1072 (2015; Zbl 1339.35110) Full Text: DOI OpenURL
Ercole, Grey Remarks on the behavior of the best Sobolev constants. (English) Zbl 1335.35004 Carvalho, Alexandre N. (ed.) et al., Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-19901-6/hbk; 978-3-319-19902-3/ebook). Progress in Nonlinear Differential Equations and Their Applications 86, 173-185 (2015). MSC: 35A23 46E35 35J92 PDF BibTeX XML Cite \textit{G. Ercole}, Prog. Nonlinear Differ. Equ. Appl. 86, 173--185 (2015; Zbl 1335.35004) Full Text: DOI OpenURL
Ercole, Grey Regularity results for the best-Sobolev-constant function. (English) Zbl 1334.46029 Ann. Mat. Pura Appl. (4) 194, No. 5, 1381-1392 (2015). Reviewer: Denise Huet (Nancy) MSC: 46E35 35J20 35J25 35J92 PDF BibTeX XML Cite \textit{G. Ercole}, Ann. Mat. Pura Appl. (4) 194, No. 5, 1381--1392 (2015; Zbl 1334.46029) Full Text: DOI OpenURL
Robert, Frédéric; Vétois, Jérôme Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold. (English) Zbl 1326.35111 Calc. Var. Partial Differ. Equ. 54, No. 1, 693-716 (2015). Reviewer: Alessandro Selvitella (Hamilton) MSC: 35J20 35J60 58J05 35B44 PDF BibTeX XML Cite \textit{F. Robert} and \textit{J. Vétois}, Calc. Var. Partial Differ. Equ. 54, No. 1, 693--716 (2015; Zbl 1326.35111) Full Text: DOI arXiv OpenURL
Bougherara, B.; Giacomoni, J.; Prashanth, S. Analytic global bifurcation and infinite turning points for very singular problems. (English) Zbl 1312.35097 Calc. Var. Partial Differ. Equ. 52, No. 3-4, 829-856 (2015). MSC: 35J61 35J20 35J70 76B15 76B45 76E17 PDF BibTeX XML Cite \textit{B. Bougherara} et al., Calc. Var. Partial Differ. Equ. 52, No. 3--4, 829--856 (2015; Zbl 1312.35097) Full Text: DOI OpenURL
Morabito, Filippo Radial and non-radial solutions to an elliptic problem on annular domains in Riemannian manifolds with radial symmetry. (English) Zbl 1310.58013 J. Differ. Equations 258, No. 5, 1461-1493 (2015). MSC: 58J05 35R01 35B32 35J60 58J32 PDF BibTeX XML Cite \textit{F. Morabito}, J. Differ. Equations 258, No. 5, 1461--1493 (2015; Zbl 1310.58013) Full Text: DOI OpenURL
Ercole, Grey On the resonant Lane-Emden problem for the \(p\)-Laplacian. (English) Zbl 1298.35094 Commun. Contemp. Math. 16, No. 4, Article ID 1350033, 22 p. (2014); erratum ibid. 16, No. 5, Article ID 1492001, 1 p. (2014). MSC: 35J92 35B35 35B40 35B09 35P05 PDF BibTeX XML Cite \textit{G. Ercole}, Commun. Contemp. Math. 16, No. 4, Article ID 1350033, 22 p. (2014; Zbl 1298.35094) Full Text: DOI arXiv OpenURL
Cowan, Craig Supercritical elliptic problems on a perturbation of the ball. (English) Zbl 1286.35106 J. Differ. Equations 256, No. 3, 1250-1263 (2014). MSC: 35J60 PDF BibTeX XML Cite \textit{C. Cowan}, J. Differ. Equations 256, No. 3, 1250--1263 (2014; Zbl 1286.35106) Full Text: DOI arXiv OpenURL
Ackermann, Nils; Clapp, Mónica; Pacella, Filomena Alternating sign multibump solutions of nonlinear elliptic equations in expanding tubular domains. (English) Zbl 1273.35132 Commun. Partial Differ. Equations 38, No. 4-6, 751-779 (2013). MSC: 35J61 35B40 PDF BibTeX XML Cite \textit{N. Ackermann} et al., Commun. Partial Differ. Equations 38, No. 4--6, 751--779 (2013; Zbl 1273.35132) Full Text: DOI arXiv OpenURL
Akagi, Goro; Kajikiya, Ryuji Stability analysis of asymptotic profiles for sign-changing solutions to fast diffusion equations. (English) Zbl 1282.35050 Manuscr. Math. 141, No. 3-4, 559-587 (2013). Reviewer: Thomas Hagen (Memphis) MSC: 35B40 35K67 35B35 35K20 35K59 PDF BibTeX XML Cite \textit{G. Akagi} and \textit{R. Kajikiya}, Manuscr. Math. 141, No. 3--4, 559--587 (2013; Zbl 1282.35050) Full Text: DOI Link OpenURL
Sato, Yohei; Wang, Zhi-Qiang On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system. (English) Zbl 1457.35071 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 1, 1-22 (2013). MSC: 35Q55 35B09 35B40 35A01 35J50 PDF BibTeX XML Cite \textit{Y. Sato} and \textit{Z.-Q. Wang}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 1, 1--22 (2013; Zbl 1457.35071) Full Text: DOI OpenURL
Ackermann, Nils; Clapp, Mónica; Pacella, Filomena Self-focusing multibump standing waves in expanding waveguides. (English) Zbl 1229.35285 Milan J. Math. 79, No. 1, 221-232 (2011). MSC: 35Q60 78A50 78A60 PDF BibTeX XML Cite \textit{N. Ackermann} et al., Milan J. Math. 79, No. 1, 221--232 (2011; Zbl 1229.35285) Full Text: DOI OpenURL
Gladiali, Francesca; Grossi, Massimo; Pacella, Filomena; Srikanth, P. N. Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus. (English) Zbl 1209.35043 Calc. Var. Partial Differ. Equ. 40, No. 3-4, 295-317 (2011). MSC: 35J61 35B32 35B06 35P05 PDF BibTeX XML Cite \textit{F. Gladiali} et al., Calc. Var. Partial Differ. Equ. 40, No. 3--4, 295--317 (2011; Zbl 1209.35043) Full Text: DOI OpenURL
Gladiali, Francesca A global bifurcation result for a semilinear elliptic equation. (English) Zbl 1193.35063 J. Math. Anal. Appl. 369, No. 1, 306-311 (2010). MSC: 35J61 35J91 35B32 PDF BibTeX XML Cite \textit{F. Gladiali}, J. Math. Anal. Appl. 369, No. 1, 306--311 (2010; Zbl 1193.35063) Full Text: DOI OpenURL
Guo, Yuxia; Wei, Juncheng Supercritical biharmonic elliptic problems in domains with small holes. (English) Zbl 1187.35047 Math. Nachr. 282, No. 12, 1724-1739 (2009). Reviewer: Ricardo Ruiz Baier (Lausanne) MSC: 35J40 35B40 35B45 92C40 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{J. Wei}, Math. Nachr. 282, No. 12, 1724--1739 (2009; Zbl 1187.35047) Full Text: DOI OpenURL
Sato, Yohei; Tanaka, Kazunaga Sign-changing multi-bump solutions for nonlinear Schrödinger equations with steep potential wells. (English) Zbl 1198.35261 Trans. Am. Math. Soc. 361, No. 12, 6205-6253 (2009). Reviewer: M. Marin (Brasov) MSC: 35Q55 35J60 35J20 35B09 PDF BibTeX XML Cite \textit{Y. Sato} and \textit{K. Tanaka}, Trans. Am. Math. Soc. 361, No. 12, 6205--6253 (2009; Zbl 1198.35261) Full Text: DOI OpenURL
Dancer, E. N. Peak solutions without non-degeneracy conditions. (English) Zbl 1197.35121 J. Differ. Equations 246, No. 8, 3077-3088 (2009). Reviewer: P. N. Srikanth (Bangalore) MSC: 35J70 35J25 PDF BibTeX XML Cite \textit{E. N. Dancer}, J. Differ. Equations 246, No. 8, 3077--3088 (2009; Zbl 1197.35121) Full Text: DOI OpenURL
Dancer, E. N.; Wei, Juncheng Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction. (English) Zbl 1163.35034 Trans. Am. Math. Soc. 361, No. 3, 1189-1208 (2009). MSC: 35Q55 35B40 35B45 35J55 81V80 PDF BibTeX XML Cite \textit{E. N. Dancer} and \textit{J. Wei}, Trans. Am. Math. Soc. 361, No. 3, 1189--1208 (2009; Zbl 1163.35034) Full Text: DOI OpenURL
Dancer, E. N. Finite Morse index solutions of supercritical problems. (English) Zbl 1158.35013 J. Reine Angew. Math. 620, 213-233 (2008). Reviewer: Nils Ackermann (México) MSC: 35B35 35B40 35B45 35B25 35J60 47J30 35J65 PDF BibTeX XML Cite \textit{E. N. Dancer}, J. Reine Angew. Math. 620, 213--233 (2008; Zbl 1158.35013) Full Text: DOI OpenURL
Dancer, E. N. Finite Morse index solutions of exponential problems. (English) Zbl 1136.35030 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 1, 173-179 (2008). MSC: 35J60 47J30 58E05 PDF BibTeX XML Cite \textit{E. N. Dancer}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 1, 173--179 (2008; Zbl 1136.35030) Full Text: DOI EuDML OpenURL
del Pino, Manuel; Wei, Juncheng Supercritical elliptic problems in domains with small holes. (Problèmes elliptiques supercritiques dans des domaines avec de petits trous.) (English. French summary) Zbl 1387.35291 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 4, 507-520 (2007). MSC: 35J65 35J60 47J30 PDF BibTeX XML Cite \textit{M. del Pino} and \textit{J. Wei}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 4, 507--520 (2007; Zbl 1387.35291) Full Text: DOI Numdam EuDML OpenURL
Dancer, E. N.; Wei, Juncheng Sign-changing solutions for supercritical elliptic problems in domains with small holes. (English) Zbl 1387.35284 Manuscr. Math. 123, No. 4, 493-511 (2007). MSC: 35J65 35B40 35J40 35J25 35J60 47J30 92C40 PDF BibTeX XML Cite \textit{E. N. Dancer} and \textit{J. Wei}, Manuscr. Math. 123, No. 4, 493--511 (2007; Zbl 1387.35284) Full Text: DOI OpenURL
Cao, Daomin; Peng, Shuangjie Multi-bump bound states of Schrödinger equations with a critical frequency. (English) Zbl 1123.35061 Math. Ann. 336, No. 4, 925-948 (2006). MSC: 35Q55 35J60 35B33 35A15 47J30 58E05 PDF BibTeX XML Cite \textit{D. Cao} and \textit{S. Peng}, Math. Ann. 336, No. 4, 925--948 (2006; Zbl 1123.35061) Full Text: DOI OpenURL
Girão, Pedro; Weth, Tobias The shape of extremal functions for Poincaré-Sobolev-type inequalities in a ball. (English) Zbl 1122.26015 J. Funct. Anal. 237, No. 1, 194-223 (2006). Reviewer: Jiří Rákosník (Praha) MSC: 26D10 46E35 PDF BibTeX XML Cite \textit{P. Girão} and \textit{T. Weth}, J. Funct. Anal. 237, No. 1, 194--223 (2006; Zbl 1122.26015) Full Text: DOI arXiv OpenURL
Dancer, E. N. Remarks on nonlinear elliptic problems on long domains. (English) Zbl 1177.35070 Adv. Nonlinear Stud. 5, No. 2, 253-263 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 35B40 47J30 PDF BibTeX XML Cite \textit{E. N. Dancer}, Adv. Nonlinear Stud. 5, No. 2, 253--263 (2005; Zbl 1177.35070) Full Text: DOI OpenURL
Cao, Daomin; Noussair, Ezzat S. Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations. (English) Zbl 1063.35142 J. Differ. Equations 203, No. 2, 292-312 (2004). Reviewer: Andrew Pickering (Madrid) MSC: 35Q55 37K40 81Q05 PDF BibTeX XML Cite \textit{D. Cao} and \textit{E. S. Noussair}, J. Differ. Equations 203, No. 2, 292--312 (2004; Zbl 1063.35142) Full Text: DOI OpenURL