Feng, Meiqiang; Zhang, Yichen Positive solutions of singular multiparameter \(p\)-Laplacian elliptic systems. (English) Zbl 1481.35180 Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 1121-1147 (2022). MSC: 35J57 35J92 35A01 35A02 35B40 PDF BibTeX XML Cite \textit{M. Feng} and \textit{Y. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 1121--1147 (2022; Zbl 1481.35180) Full Text: DOI OpenURL
Li, Qi; Zhao, Zengqin; Du, Xinsheng Existence of infinitely many high energy solutions for a class of fractional Schrödinger systems. (English) Zbl 1485.35397 Adv. Difference Equ. 2020, Paper No. 306, 14 p. (2020). MSC: 35R11 35Q55 35J57 35J20 PDF BibTeX XML Cite \textit{Q. Li} et al., Adv. Difference Equ. 2020, Paper No. 306, 14 p. (2020; Zbl 1485.35397) Full Text: DOI OpenURL
Huang, Haochuan; Huang, Rui; Yin, Jingxue; Cao, Yang Sobolev hyperbola for the periodic parabolic Lane-Emden system. (English) Zbl 1427.35101 Nonlinearity 33, No. 2, 762-789 (2020). MSC: 35K40 35K58 35A01 35B10 35B45 PDF BibTeX XML Cite \textit{H. Huang} et al., Nonlinearity 33, No. 2, 762--789 (2020; Zbl 1427.35101) Full Text: DOI OpenURL
Sun, Yan Necessary and sufficient condition for the existence of positive solutions of a coupled system for reaction-diffusion equations. (English) Zbl 1437.34033 J. Comput. Appl. Math. 364, Article ID 112328, 17 p. (2020). Reviewer: Yang Yang (Wuxi) MSC: 34B18 34B16 34B15 34A45 47N20 PDF BibTeX XML Cite \textit{Y. Sun}, J. Comput. Appl. Math. 364, Article ID 112328, 17 p. (2020; Zbl 1437.34033) Full Text: DOI OpenURL
Farooq, M. Umar Noether-like operators and first integrals for generalized systems of Lane-Emden equations. (English) Zbl 1416.34024 Symmetry 11, No. 2, Paper No. 162, 9 p. (2019). MSC: 34C14 34A34 34M99 PDF BibTeX XML Cite \textit{M. U. Farooq}, Symmetry 11, No. 2, Paper No. 162, 9 p. (2019; Zbl 1416.34024) Full Text: DOI OpenURL
Madduri, Harshita; Roul, Pradip A fast-converging iterative scheme for solving a system of Lane-Emden equations arising in catalytic diffusion reactions. (English) Zbl 1414.92236 J. Math. Chem. 57, No. 2, 570-582 (2019). MSC: 92E20 65L10 34B16 PDF BibTeX XML Cite \textit{H. Madduri} and \textit{P. Roul}, J. Math. Chem. 57, No. 2, 570--582 (2019; Zbl 1414.92236) Full Text: DOI OpenURL
Gurban, Daniela; Jebelean, Petru Positive radial solutions for multiparameter Dirichlet systems with mean curvature operator in Minkowski space and Lane-Emden type nonlinearities. (English) Zbl 1421.35086 J. Differ. Equations 266, No. 9, 5377-5396 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J47 35J25 35B09 PDF BibTeX XML Cite \textit{D. Gurban} and \textit{P. Jebelean}, J. Differ. Equations 266, No. 9, 5377--5396 (2019; Zbl 1421.35086) Full Text: DOI OpenURL
Li, Kui; Zhang, Zhitao Proof of the Hénon-Lane-Emden conjecture in \(\mathbb{R}^3\). (English) Zbl 1410.35040 J. Differ. Equations 266, No. 1, 202-226 (2019). Reviewer: Petar Popivanov (Sofia) MSC: 35J61 35B33 35B53 PDF BibTeX XML Cite \textit{K. Li} and \textit{Z. Zhang}, J. Differ. Equations 266, No. 1, 202--226 (2019; Zbl 1410.35040) Full Text: DOI OpenURL
El-Nabulsi, Rami Ahmad A family of Emden-Fowler differential equations from a generalized derivative operator. (English) Zbl 1406.35014 J. Anal. 25, No. 2, 301-308 (2017). MSC: 35A24 PDF BibTeX XML Cite \textit{R. A. El-Nabulsi}, J. Anal. 25, No. 2, 301--308 (2017; Zbl 1406.35014) Full Text: DOI OpenURL
Cid, José Ángel; Infante, Gennaro A non-variational approach to the existence of nonzero positive solutions for elliptic systems. (English) Zbl 1386.35077 J. Fixed Point Theory Appl. 19, No. 4, 3151-3162 (2017). MSC: 35J47 35B09 35J57 35J60 47H10 PDF BibTeX XML Cite \textit{J. Á. Cid} and \textit{G. Infante}, J. Fixed Point Theory Appl. 19, No. 4, 3151--3162 (2017; Zbl 1386.35077) Full Text: DOI arXiv OpenURL
Mavinga, N.; Pardo, R. A priori bounds and existence of positive solutions for semilinear elliptic systems. (English) Zbl 1359.35053 J. Math. Anal. Appl. 449, No. 2, 1172-1188 (2017). MSC: 35J47 35B45 35B09 35J61 PDF BibTeX XML Cite \textit{N. Mavinga} and \textit{R. Pardo}, J. Math. Anal. Appl. 449, No. 2, 1172--1188 (2017; Zbl 1359.35053) Full Text: DOI Link OpenURL
Liu, Yuji Existence of positive solutions of four-point BVPs for singular generalized Lane-Emden systems on whole line. (English) Zbl 1358.34034 Nonlinear Anal., Real World Appl. 33, 200-225 (2017). Reviewer: Nickolai Kosmatov (Little Rock) MSC: 34B18 34B40 34B10 34B16 47N20 PDF BibTeX XML Cite \textit{Y. Liu}, Nonlinear Anal., Real World Appl. 33, 200--225 (2017; Zbl 1358.34034) Full Text: DOI OpenURL
Li, Congming; Villavert, John A degree theory framework for semilinear elliptic systems. (English) Zbl 1345.35029 Proc. Am. Math. Soc. 144, No. 9, 3731-3740 (2016). Reviewer: Giovanni Anello (Messina) MSC: 35J47 35J61 35B08 35B09 PDF BibTeX XML Cite \textit{C. Li} and \textit{J. Villavert}, Proc. Am. Math. Soc. 144, No. 9, 3731--3740 (2016; Zbl 1345.35029) Full Text: DOI OpenURL
Yang, Pinghua; Liu, Yuji Existence of positive solutions of four-point BVPs for one-dimensional generalized Lane-Emden systems on whole line. (English) Zbl 1336.34043 Tbil. Math. J. 8, No. 2, 257-280 (2015). MSC: 34B18 34B10 34B15 47N20 PDF BibTeX XML Cite \textit{P. Yang} and \textit{Y. Liu}, Tbil. Math. J. 8, No. 2, 257--280 (2015; Zbl 1336.34043) Full Text: DOI OpenURL
Hajlaoui, Hatem; Harrabi, Abdellaziz A priori estimates and existence of positive solutions for higher-order elliptic equations. (English) Zbl 1310.35048 J. Math. Anal. Appl. 426, No. 1, 484-504 (2015). MSC: 35B45 35J40 35B09 PDF BibTeX XML Cite \textit{H. Hajlaoui} and \textit{A. Harrabi}, J. Math. Anal. Appl. 426, No. 1, 484--504 (2015; Zbl 1310.35048) Full Text: DOI OpenURL
Muatjetjeja, Ben; Khalique, Chaudry Masood Lie group classification for a generalised coupled Lane-Emden system in dimension one. (English) Zbl 1321.34052 East Asian J. Appl. Math. 4, No. 4, 301-311 (2014). Reviewer: Jinzhi Lei (Beijing) MSC: 34C14 34C20 34A05 PDF BibTeX XML Cite \textit{B. Muatjetjeja} and \textit{C. M. Khalique}, East Asian J. Appl. Math. 4, No. 4, 301--311 (2014; Zbl 1321.34052) Full Text: DOI OpenURL
Muatjetjeja, B.; Khalique, C. M. A variational formulation approach to a generalized coupled inhomogeneous Emden-Fowler system. (English) Zbl 1302.34057 Appl. Anal. 93, No. 3, 466-474 (2014). Reviewer: Pavel Rehak (Brno) MSC: 34C14 34C20 34C40 34A05 58E50 PDF BibTeX XML Cite \textit{B. Muatjetjeja} and \textit{C. M. Khalique}, Appl. Anal. 93, No. 3, 466--474 (2014; Zbl 1302.34057) Full Text: DOI OpenURL
Rach, Randolph; Duan, Jun-Sheng; Wazwaz, Abdul-Majid Solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method. (English) Zbl 1311.92222 J. Math. Chem. 52, No. 1, 255-267 (2014). MSC: 92E20 PDF BibTeX XML Cite \textit{R. Rach} et al., J. Math. Chem. 52, No. 1, 255--267 (2014; Zbl 1311.92222) Full Text: DOI OpenURL
Muatjetjeja, B.; Khalique, C. M. A variational approach to an inhomogeneous second-order ordinary differential system. (English) Zbl 1280.34001 Abstr. Appl. Anal. 2013, Article ID 197219, 4 p. (2013). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A05 34A34 34C14 PDF BibTeX XML Cite \textit{B. Muatjetjeja} and \textit{C. M. Khalique}, Abstr. Appl. Anal. 2013, Article ID 197219, 4 p. (2013; Zbl 1280.34001) Full Text: DOI OpenURL
Muatjetjeja, Ben; Khalique, Chaudry Masood; Mahomed, Fazal Mahmood Group classification of a generalized Lane-Emden system. (English) Zbl 1271.34042 J. Appl. Math. 2013, Article ID 305032, 12 p. (2013). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 34C14 34A34 34C20 PDF BibTeX XML Cite \textit{B. Muatjetjeja} et al., J. Appl. Math. 2013, Article ID 305032, 12 p. (2013; Zbl 1271.34042) Full Text: DOI OpenURL
Farooq, M. U.; Ali, S.; Qadir, Asghar Invariants of two-dimensional systems via complex Lagrangians with applications. (English) Zbl 1221.34086 Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1804-1810 (2011); erratum ibid. 17, No. 10, 4015 (2012). MSC: 34C14 34A05 PDF BibTeX XML Cite \textit{M. U. Farooq} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1804--1810 (2011; Zbl 1221.34086) Full Text: DOI OpenURL
Muatjetjeja, Ben; Khalique, Chaudry Masood First integrals for a generalized coupled Lane-Emden system. (English) Zbl 1216.34002 Nonlinear Anal., Real World Appl. 12, No. 2, 1202-1212 (2011). Reviewer: Oleg V. Makeev (Ulyanovsk) MSC: 34A05 34C14 PDF BibTeX XML Cite \textit{B. Muatjetjeja} and \textit{C. M. Khalique}, Nonlinear Anal., Real World Appl. 12, No. 2, 1202--1212 (2011; Zbl 1216.34002) Full Text: DOI OpenURL
Muatjetjeja, Ben; Khalique, Chaudry Masood Lagrangian approach to a generalized coupled Lane-Emden system: symmetries and first integrals. (English) Zbl 1221.34090 Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1166-1171 (2010). MSC: 34C14 PDF BibTeX XML Cite \textit{B. Muatjetjeja} and \textit{C. M. Khalique}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1166--1171 (2010; Zbl 1221.34090) Full Text: DOI OpenURL
Dancer, E. N.; Wei, Juncheng; Weth, Tobias A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. (English) Zbl 1191.35121 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 3, 953-969 (2010). MSC: 35J57 35J47 35J10 81V80 35B45 35Q55 35B53 PDF BibTeX XML Cite \textit{E. N. Dancer} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 3, 953--969 (2010; Zbl 1191.35121) Full Text: DOI OpenURL
Ghergu, Marius Lane-Emden systems with negative exponents. (English) Zbl 1190.35073 J. Funct. Anal. 258, No. 10, 3295-3318 (2010). MSC: 35J47 35J57 35B65 35B30 PDF BibTeX XML Cite \textit{M. Ghergu}, J. Funct. Anal. 258, No. 10, 3295--3318 (2010; Zbl 1190.35073) Full Text: DOI OpenURL
Yuxiang, Li Optimal conditions for a priori estimates for semilinear elliptic systems with two components. (English) Zbl 1186.35056 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1850-1864 (2010). MSC: 35J57 35J47 35J61 35B45 35D30 35B65 PDF BibTeX XML Cite \textit{L. Yuxiang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1850--1864 (2010; Zbl 1186.35056) Full Text: DOI OpenURL
Zhidkov, Peter Existence of positive radial solutions for some nonvariational superlinear elliptic systems. (English) Zbl 1181.35078 J. Math. Anal. Appl. 361, No. 1, 123-130 (2010). MSC: 35J57 35J47 35J61 35B09 PDF BibTeX XML Cite \textit{P. Zhidkov}, J. Math. Anal. Appl. 361, No. 1, 123--130 (2010; Zbl 1181.35078) Full Text: DOI OpenURL
Zou, Henghui A priori estimates and existence for strongly coupled non-linear Schrödinger systems. (English) Zbl 1200.35070 Commun. Partial Differ. Equations 34, No. 11, 1398-1424 (2009). Reviewer: Monika Winklmeier (Bogotá) MSC: 35J10 35P30 35B45 35J57 PDF BibTeX XML Cite \textit{H. Zou}, Commun. Partial Differ. Equations 34, No. 11, 1398--1424 (2009; Zbl 1200.35070) Full Text: DOI OpenURL
Zhang, Jihui; Zhang, Zhitao Existence results for some nonlinear elliptic systems. (English) Zbl 1167.35360 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 2840-2846 (2009). MSC: 35J55 35J50 35D05 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 2840--2846 (2009; Zbl 1167.35360) Full Text: DOI OpenURL
Sun, Yan Necessary and sufficient condition for the existence of positive solutions of a coupled system for elastic beam equations. (English) Zbl 1182.34033 J. Math. Anal. Appl. 357, No. 1, 77-88 (2009). Reviewer: Ravi Agarwal (Melbourne) MSC: 34B18 34B16 47N20 34A45 PDF BibTeX XML Cite \textit{Y. Sun}, J. Math. Anal. Appl. 357, No. 1, 77--88 (2009; Zbl 1182.34033) Full Text: DOI OpenURL
Souplet, Philippe The proof of the Lane-Emden conjecture in four space dimensions. (English) Zbl 1171.35035 Adv. Math. 221, No. 5, 1409-1427 (2009). Reviewer: Marco Biroli (Milano) MSC: 35J45 35J60 35B33 35B45 35J50 PDF BibTeX XML Cite \textit{P. Souplet}, Adv. Math. 221, No. 5, 1409--1427 (2009; Zbl 1171.35035) Full Text: DOI OpenURL
Li, Yuxiang Optimal conditions for \(L^\infty \)-regularity and a priori estimates for semilinear elliptic systems. (English) Zbl 1160.35018 J. Math. Anal. Appl. 351, No. 1, 257-276 (2009). MSC: 35D10 35J60 35J55 35B45 PDF BibTeX XML Cite \textit{Y. Li}, J. Math. Anal. Appl. 351, No. 1, 257--276 (2009; Zbl 1160.35018) Full Text: DOI arXiv OpenURL
Dai, Qiuyi; Fu, Yuxia A note on the uniqueness of positive solutions of Robin problem. (English) Zbl 1154.35046 Glasg. Math. J. 50, No. 3, 437-445 (2008). MSC: 35J65 35J55 35J60 PDF BibTeX XML Cite \textit{Q. Dai} and \textit{Y. Fu}, Glasg. Math. J. 50, No. 3, 437--445 (2008; Zbl 1154.35046) Full Text: DOI OpenURL
Zhang, Yajing On the nonexistence of positive solutions of polyharmonic systems in \(\mathbb R^N\). (English) Zbl 1159.35332 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 11, 3454-3464 (2008). MSC: 35J45 35J60 PDF BibTeX XML Cite \textit{Y. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 11, 3454--3464 (2008; Zbl 1159.35332) Full Text: DOI OpenURL
Dalmasso, Robert Existence of positive radial solutions for a semilinear elliptic system without variational structure. (English) Zbl 1191.35120 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 4, 1255-1259 (2007). MSC: 35J57 35J47 35J61 35B09 PDF BibTeX XML Cite \textit{R. Dalmasso}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 4, 1255--1259 (2007; Zbl 1191.35120) Full Text: DOI OpenURL
Zou, Henghui A priori estimates and existence for strongly coupled semilinear cooperative elliptic systems. (English) Zbl 1137.35027 Commun. Partial Differ. Equations 31, No. 4-6, 735-773 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J55 35B45 PDF BibTeX XML Cite \textit{H. Zou}, Commun. Partial Differ. Equations 31, No. 4--6, 735--773 (2006; Zbl 1137.35027) Full Text: DOI OpenURL
de Figueiredo, Djairo G.; Sirakov, Boyan Liouville type theorems, monotonicity results and a priori bounds for positive solutions of elliptic systems. (English) Zbl 1165.35360 Math. Ann. 333, No. 2, 231-260 (2005). MSC: 35J57 35B45 35J60 PDF BibTeX XML Cite \textit{D. G. de Figueiredo} and \textit{B. Sirakov}, Math. Ann. 333, No. 2, 231--260 (2005; Zbl 1165.35360) Full Text: DOI HAL OpenURL
Quittner, P.; Souplet, Ph. A priori estimates and existence for elliptic systems via bootstrap in weighted Lebesgue spaces. (English) Zbl 1113.35062 Arch. Ration. Mech. Anal. 174, No. 1, 49-81 (2004). MSC: 35J55 35J50 35J60 PDF BibTeX XML Cite \textit{P. Quittner} and \textit{Ph. Souplet}, Arch. Ration. Mech. Anal. 174, No. 1, 49--81 (2004; Zbl 1113.35062) Full Text: DOI OpenURL
Maniwa, Masaaki Uniqueness and existence of positive solutions for some semilinear elliptic systems. (English) Zbl 1113.35061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 6, 993-999 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J55 35J60 PDF BibTeX XML Cite \textit{M. Maniwa}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 6, 993--999 (2004; Zbl 1113.35061) Full Text: DOI OpenURL