Zhang, Jinguo Sub-elliptic systems involving critical Hardy-Sobolev exponents and sign-changing weight functions on Carnot groups. (English) Zbl 1535.35041 J. Nonlinear Var. Anal. 8, No. 2, 199-231 (2024). MSC: 35H20 35R03 35J70 22E30 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Yansheng A fractional Hardy-Sobolev type inequality with applications to nonlinear elliptic equations with critical exponent and Hardy potential. (English) Zbl 1537.35020 Discrete Contin. Dyn. Syst. 44, No. 7, 1901-1937 (2024). MSC: 35A23 35A15 35B33 35J92 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yue Multiple solutions to a transmission problem with a critical Hardy-Sobolev exponential source term. (English) Zbl 1540.35211 Qual. Theory Dyn. Syst. 23, No. 3, Paper No. 127, 24 p. (2024). MSC: 35J62 35B33 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Yu; Sun, Xin; Liao, Jiafeng Positive solutions to a class of Kirchhoff-type problems with Hardy-Sobolev critical exponent in \(\mathbb{R}^N\). (Chinese. English summary) Zbl 1549.35024 Chin. Ann. Math., Ser. A 44, No. 3, 323-334 (2023). MSC: 35B09 35J15 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Akhavan, A. A variational approach to quasilinear elliptic systems with critical Hardy-Sobolev and sign-changing function exponents. (English) Zbl 1529.35197 J. Linear Topol. Algebra 12, No. 3, 179-194 (2023). MSC: 35J57 35B33 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
López-Soriano, Rafael; Ortega, Alejandro Nonlinear elliptic systems involving Hardy-Sobolev criticalities. (English) Zbl 1526.35146 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 4, Paper No. 157, 27 p. (2023). MSC: 35J47 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rimouche, Ali Multiple solutions for a boundary singular semilinear equation with sublinear term involving Hardy potential and Hardy-Sobolev Exponent. (English) Zbl 1526.35179 J. Elliptic Parabol. Equ. 9, No. 2, 961-987 (2023). MSC: 35J75 35J61 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Ji-xiu; Gao, Qi On the existence of ground state solutions to a quasilinear Schrödinger equation involving \(p\)-Laplacian. (English) Zbl 1514.35247 Acta Math. Appl. Sin., Engl. Ser. 39, No. 2, 381-395 (2023). MSC: 35J92 35B33 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Lu Shun; Yang, Tao; Yang, Xiao Long A global compactness result with applications to a Hardy-Sobolev critical elliptic system involving coupled perturbation terms. (English) Zbl 1505.35152 Adv. Nonlinear Anal. 12, Article ID 20220276, 31 p. (2023). MSC: 35J47 35B33 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Matallah, Atika; Litimein, Sara; Messirdi, Sofiane Existence of multiple solutions for a nonhomogeneous \(p\)-Laplacian elliptic equation with critical Sobolev-Hardy exponent. (English) Zbl 1549.35196 Bol. Soc. Parana. Mat. (3) 40, Paper No. 63, 12 p. (2022). MSC: 35J20 35J70 47J30 58E30 35J92 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Zhenyu; Zhong, Xuexiu On a fractional Hardy-Sobolev inequality with two-variables. (English) Zbl 1504.35014 Rocky Mt. J. Math. 52, No. 5, 1643-1660 (2022). MSC: 35A23 35B33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI Link
Deng, Yin; Jia, Gao Multiple solutions for a quasilinear Schrödinger equation involving critical Hardy-Sobolev exponent with Robin boundary condition. (English) Zbl 1501.35145 Complex Var. Elliptic Equ. 67, No. 11, 2602-2618 (2022). MSC: 35J10 35J62 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Min; Chen, Deyan; Guo, Zhenyu A fractional magnetic Hardy-Sobolev inequality with two variables. (English) Zbl 1490.35522 J. Math. Inequal. 16, No. 1, 181-187 (2022). MSC: 35R11 35A23 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Dehsari, Iraj; Nyamoradi, Nemat Solutions for the fractional \(p\)-Laplacian systems with several critical Sobolev-Hardy terms. (English) Zbl 1488.35058 Differ. Equ. Appl. 13, No. 1, 15-33 (2021). MSC: 35B33 35J60 35J65 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jinguo; Yang, Dengyun Critical Hardy-Sobolev exponents problem with Grushin operator and Hardy-type singularity terms. (English) Zbl 1467.35166 Acta Appl. Math. 172, Paper No. 4, 15 p. (2021). MSC: 35J70 35J75 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Rimouche, Ali Positive solution for a boundary singular semilinear equation with Hardy-Sobolev exponent. (English) Zbl 1467.35182 Complex Var. Elliptic Equ. 66, No. 6-7, 1151-1161 (2021); correction ibid. 66, No. 6-7, 1211 (2021). MSC: 35J91 35J75 35J25 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Zupei; Yu, Jianshe Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent. (English) Zbl 1466.35196 Adv. Nonlinear Anal. 10, 673-683 (2021). MSC: 35J62 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Fengshuang; Guo, Yuxia Multiple solutions for quasilinear equation involving Hardy critical Sobolev exponents. (English) Zbl 1466.35190 Topol. Methods Nonlinear Anal. 56, No. 1, 31-61 (2020). MSC: 35J62 35B33 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
El Mokhtar, Mohammed El Mokhtar Ould; Almuhiameed, Zeid I. On singular elliptic equation with singular nonlinearities, Hardy-Sobolev critical exponent and weights. (English) Zbl 1474.35328 Differ. Equ. Appl. 12, No. 4, 397-410 (2020). MSC: 35J66 35J56 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Rashidi, Ali Jabar; Shekarbaigi, Mohsen A variational method for solving quasilinear elliptic systems involving symmetric multi-polar potentials. (English) Zbl 1474.35023 Differ. Equ. Appl. 12, No. 4, 355-375 (2020). MSC: 35A15 35B33 35J70 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jianfu; Yu, Jian Fractional Hardy-Sobolev elliptic problems. (English) Zbl 1437.35376 Topol. Methods Nonlinear Anal. 55, No. 1, 257-280 (2020). MSC: 35J75 35R11 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Chen, Wenjing; Gui, Yuyan Multiple solutions for a fractional \(p\)-Kirchhoff problem with Hardy nonlinearity. (English) Zbl 1429.35080 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 188, 316-338 (2019). MSC: 35J60 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Thiam, El Hadji Abdoulaye Hardy-Sobolev inequality with higher dimensional singularity. (English) Zbl 1430.35104 Analysis, München 39, No. 3, 79-96 (2019). MSC: 35J91 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yue; Ye, Hongyan; Suo, Hongmin Existence of positive solution for a nonlocal problem with Hardy-Sobolev critical exponent. (Chinese. English summary) Zbl 1438.35157 Math. Appl. 32, No. 2, 452-456 (2019). MSC: 35J60 35B33 35J20 35J75 × Cite Format Result Cite Review PDF
Li, Hong-Ying; Pu, Yang; Liao, Jia-Feng Some results for a class of Kirchhoff-type problems with Hardy-Sobolev critical exponent. (English) Zbl 1421.35112 Mediterr. J. Math. 16, No. 3, Paper No. 63, 16 p. (2019). MSC: 35J60 35B33 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Cong; Shang, Yan-Ying Existence and multiplicity of solutions for Schrödinger equation with inverse square potential and Hardy-Sobolev critical exponent. (English) Zbl 1414.35063 Nonlinear Anal., Real World Appl. 46, 525-544 (2019). MSC: 35J10 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Yu-Ting; Liao, Jia-Feng; Tang, Chun-Lei Two positive solutions for Kirchhoff type problems with Hardy-Sobolev critical exponent and singular nonlinearities. (English) Zbl 1411.35121 Taiwanese J. Math. 23, No. 1, 231-253 (2019). MSC: 35J60 35B09 35A15 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Chen, Ming; Zhang, Peng; Liao, Jiafeng Existence of positive solutions for a class of singular Kirchhoff-type equations with critical Hardy-Sobolev exponent. (Chinese. English summary) Zbl 1424.35016 J. Math., Wuhan Univ. 38, No. 5, 880-886 (2018). MSC: 35B09 35J75 × Cite Format Result Cite Review PDF Full Text: DOI
Mirzaee, Hadi Multiple solutions for a fractional \(p\)-Kirchhoff problem with subcritical and critical Hardy-Sobolev exponent. (English) Zbl 1406.35125 Rocky Mt. J. Math. 48, No. 6, 2023-2054 (2018). MSC: 35J60 35R11 35A15 47G20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Xu, Dong; Deng, Zhiying On nontrivial solutions of \(p-q\) Laplacian type elliptic boundary value problems involving Hardy-Sobolev critical exponents. (Chinese. English summary) Zbl 1413.35175 Math. Appl. 31, No. 2, 269-280 (2018). MSC: 35J40 35J35 35B09 × Cite Format Result Cite Review PDF
Perera, Kanishka; Zou, Wenming \(p\)-Laplacian problems involving critical Hardy-Sobolev exponents. (English) Zbl 1401.35109 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 3, Paper No. 25, 16 p. (2018). Reviewer: Jesús Hernández (Madrid) MSC: 35J70 35J92 35B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mazumdar, Saikat Hardy-Sobolev equations with asymptotically vanishing singularity: blow-up analysis for the minimal energy. (English) Zbl 1391.35142 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 169, 190-217 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J61 35B40 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Guo, Zhenyu; Melgaard, Michael; Zou, Wenming Schrödinger equations with magnetic fields and Hardy-Sobolev critical exponents. (English) Zbl 1375.35484 Electron. J. Differ. Equ. 2017, Paper No. 199, 18 p. (2017). MSC: 35Q55 35A15 47J30 81V10 35Q85 35B33 85A05 × Cite Format Result Cite Review PDF Full Text: Link
Bhakta, Mousomi Infinitely many sign-changing solutions of an elliptic problem involving critical Sobolev and Hardy-Sobolev exponent. (English) Zbl 1364.35035 Proc. Indian Acad. Sci., Math. Sci. 127, No. 2, 337-347 (2017). MSC: 35B33 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peng, Zhen; Chen, Guanwei Existence and multiplicity of positive solutions for \(p\)-Laplacian elliptic equations. (English) Zbl 1342.35015 Bound. Value Probl. 2016, Paper No. 125, 15 p. (2016). MSC: 35A15 35J91 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Zhenyu Ground states for a nonlinear elliptic equation involving multiple Hardy-Sobolev critical exponents. (English) Zbl 1339.35106 Adv. Nonlinear Stud. 16, No. 2, 333-344 (2016). MSC: 35J20 35B33 58E05 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Tzirakis, Konstantinos Sharp trace Hardy-Sobolev inequalities and fractional Hardy-Sobolev inequalities. (English) Zbl 1356.46032 J. Funct. Anal. 270, No. 12, 4513-4539 (2016). MSC: 46E35 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Cerami, G.; Zhong, X.; Zou, W. On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem. (English) Zbl 1327.35089 Calc. Var. Partial Differ. Equ. 54, No. 2, 1793-1829 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 35J25 35J20 35B33 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Nyamoradi, Nemat; Hsu, TsingSan Multiple solutions for weighted nonlinear elliptic system involving critical exponents. (English) Zbl 1312.35077 Sci. China, Math. 58, No. 1, 161-178 (2015). MSC: 35J48 35B33 35B09 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Zhiying; Huang, Yisheng Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents. (English) Zbl 1311.35109 Bound. Value Probl. 2015, Paper No. 37, 19 p. (2015). MSC: 35J57 35B33 35J62 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Zhiying; Huang, Yisheng On positive \(G\)-symmetric solutions of a weighted quasilinear elliptic equation with critical Hardy-Sobolev exponent. (English) Zbl 1324.35032 Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 5, 1619-1633 (2014). MSC: 35J62 35B33 35B09 35A15 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Lan, Yongyi; Tang, Chunlei A perturbation method in semilinear elliptic problems involving critical Hardy-Sobolev exponent. (English) Zbl 1313.35129 Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 3, 703-712 (2014). MSC: 35J91 35J61 35J35 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Nyamoradi, Nemat; Hsu, Tsing-San Existence of multiple positive solutions for semilinear elliptic systems involving \(m\) critical Hardy-Sobolev exponents and an \(m\) sign-changing weight function. (English) Zbl 1313.35118 Acta Math. Sci., Ser. B, Engl. Ed. 34, No. 2, 483-500 (2014). MSC: 35J62 35J61 35A15 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Zhiying; Huang, Yisheng Positive symmetric solutions for a class of critical quasilinear elliptic problems in \(\mathbb R^N\). (English) Zbl 1305.35081 Bound. Value Probl. 2014, Paper No. 154, 18 p. (2014). MSC: 35J92 35B06 35B09 35J35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xiaoli; Zhu, Yu Existence for the Hénon equation involving the fractional Laplacian. (English) Zbl 1301.35036 Adv. Nonlinear Stud. 14, No. 2, 339-352 (2014). MSC: 35J60 35J65 35B33 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Chabrowski, Jan On a singular nonlinear Neumann problem. (English) Zbl 1300.35013 Opusc. Math. 34, No. 2, 271-290 (2014). Reviewer: Lubomira Softova (Aversa) MSC: 35J20 35B33 35J65 × Cite Format Result Cite Review PDF Full Text: DOI
Jaber, Hassan Hardy-Sobolev equations on compact Riemannian manifolds. (English) Zbl 1288.58012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 103, 39-54 (2014). MSC: 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Deng, Zhiying; Huang, Yisheng Existence and multiplicity of symmetric solutions for the weighted critical quasilinear problems. (English) Zbl 1515.35016 Appl. Math. Comput. 219, No. 9, 4836-4846 (2013). MSC: 35A15 35J25 35J92 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xiaoli; Chen, Weiyang Ground state solutions for semilinear problems with a Sobolev-Hardy term. (English) Zbl 1291.35069 Electron. J. Differ. Equ. 2013, Paper No. 214, 12 p. (2013). MSC: 35J60 35J65 35B33 35P05 × Cite Format Result Cite Review PDF Full Text: EMIS
Yang, Jianfu; Wu, Linli Existence of solutions for critical elliptic systems with boundary singularities. (English) Zbl 1291.35065 Electron. J. Differ. Equ. 2013, Paper No. 109, 16 p. (2013). MSC: 35J57 35B33 35B09 35J60 × Cite Format Result Cite Review PDF Full Text: EMIS
Benalili, Mohammed; Tahri, Kamel Existence of solutions to singular fourth-order elliptic equations. (English) Zbl 1291.58009 Electron. J. Differ. Equ. 2013, Paper No. 63, 23 p. (2013). MSC: 58J05 35B33 35D30 35J30 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Yang, Jianfu; Zhou, Yimin Existence of critical elliptic systems with boundary singularities. (English) Zbl 1282.35161 Opusc. Math. 33, No. 2, 373-390 (2013). MSC: 35J57 35B33 35B40 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Nyamoradi, Nemat; Shekarbigi, Mohsen Existence and multiplicity of solutions for semilinear elliptic systems involving Hardy-Sobolev critical nonlinearity. (English) Zbl 1292.35119 Differ. Equ. Appl. 5, No. 4, 561-576 (2013). Reviewer: Satoshi Tanaka (Okayama) MSC: 35J47 35A15 35B33 35J61 × Cite Format Result Cite Review PDF Full Text: DOI Link
Nyamoradi, Nemat A variational approach to a singular elliptic system involving critical Sobolev-Hardy exponents and concave-convex nonlinearities. (English) Zbl 1277.35012 Math. Sci., Springer 7, Paper No. 11, 10 p. (2013). MSC: 35A15 35B33 35J70 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jianfu; Zhou, Yimin Positive solution of critical Hardy-Sobolev elliptic systems with the boundary singularity. (English) Zbl 1278.35075 Differ. Equ. Appl. 5, No. 2, 249-269 (2013). MSC: 35J47 35J50 35J57 35B09 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gkikas, Konstantinos T. Hardy-Sobolev inequalities in unbounded domains and heat kernel estimates. (English) Zbl 1273.26026 J. Funct. Anal. 264, No. 3, 837-893 (2013). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Zhiying; Huang, Yisheng Existence of symmetric solutions for singular semilinear elliptic systems with critical Hardy-Sobolev exponents. (English) Zbl 1388.35040 Nonlinear Anal., Real World Appl. 14, No. 1, 613-625 (2013). MSC: 35J57 35A01 35B06 35B33 35J75 × Cite Format Result Cite Review PDF Full Text: DOI
Nyamoradi, Nemat Existence of multiple positive solutions for quasilinear elliptic systems involving critical Hardy-Sobolev exponents and sign-changing weight function. (English) Zbl 1263.35111 Math. Model. Anal. 17, No. 3, 330-350 (2012). Reviewer: Florin Catrina (New York) MSC: 35J61 35A01 35B09 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Zhiying; Huang, Yisheng On group-invariant solutions of a class of singular critical biharmonic elliptic equations. (Chinese. English summary) Zbl 1265.35107 Math. Appl. 25, No. 3, 608-615 (2012). MSC: 35J75 35B33 × Cite Format Result Cite Review PDF
Nyamoradi, Nemat; Javidi, Mohamad Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms. (English) Zbl 1253.35015 Electron. J. Differ. Equ. 2012, Paper No. 169, 18 p. (2012). MSC: 35B33 35J60 35J20 × Cite Format Result Cite Review PDF Full Text: EMIS
Nyamoradi, Nemat Existence and multiplicity of solutions to a singular elliptic system with critical Sobolev-Hardy exponents and concave-convex nonlinearities. (English) Zbl 1255.35117 J. Math. Anal. Appl. 396, No. 1, 280-293 (2012). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J75 35B09 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Zhiying; Huang, Yisheng Existence and multiplicity of symmetric solutions for semilinear elliptic equations with singular potentials and critical Hardy-Sobolev exponents. (English) Zbl 1247.35040 J. Math. Anal. Appl. 393, No. 1, 273-284 (2012). MSC: 35J61 35A15 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Hsu, Tsing-San; Lin, Huei-Li Multiplicity of positive solutions for weighted quasilinear elliptic equations involving critical Hardy-Sobolev exponents and concave-convex nonlinearities. (English) Zbl 1241.35089 Abstr. Appl. Anal. 2012, Article ID 579481, 19 p. (2012). MSC: 35J62 35B09 35J20 35B33 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Shang, Yan-Ying Existence and multiplicity of positive solutions for some Hardy-Sobolev critical elliptic equation with boundary singularities. (English) Zbl 1241.35084 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2724-2734 (2012). MSC: 35J61 35B09 35J20 35A15 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Guanwei; Ma, Shiwang On the quasilinear elliptic problem with a Hardy-Sobolev critical exponent. (English) Zbl 1275.35112 Dyn. Partial Differ. Equ. 8, No. 3, 225-237 (2011). MSC: 35J92 35B33 35B38 35J20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Xiaomei; Chen, Wenyi Positive solutions for singular elliptic equations with critical Hardy-Sobolev exponent. (English) Zbl 1237.35065 Commun. Pure Appl. Anal. 10, No. 2, 527-540 (2011). Reviewer: Junichi Aramaki (Saitama) MSC: 35J61 35J20 35J25 35B09 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Zhiying; Huang, Yisheng On \(G\)-symmetric solutions of a quasilinear elliptic equation involving critical Hardy-Sobolev exponent. (English) Zbl 1229.35100 J. Math. Anal. Appl. 384, No. 2, 578-590 (2011). MSC: 35J92 35J62 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Bouchekif, Mohammed; El Mokhtar, Mohammed E. O. Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent. (English) Zbl 1220.35076 Electron. J. Differ. Equ. 2011, Paper No. 54, 10 p. (2011). MSC: 35J70 35J20 35B33 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Hsia, Chun-Hsiung; Lin, Chang-Shou; Wadade, Hidemitsu Revisiting an idea of Brézis and Nirenberg. (English) Zbl 1198.35098 J. Funct. Anal. 259, No. 7, 1816-1849 (2010). MSC: 35J61 35B09 35J25 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Da Silva Rodrigues, Rodrigo On elliptic problems involving critical Hardy-Sobolev exponents and sign-changing function. (English) Zbl 1192.35080 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 857-880 (2010). MSC: 35J70 35A15 35B33 35J62 35D30 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Chabrowski, J. On the Neumann problem with multiple critical nonlinearities. (English) Zbl 1203.35112 Complex Var. Elliptic Equ. 55, No. 5-6, 501-524 (2010). Reviewer: Ricardo Ruiz Baier (Lausanne) MSC: 35J66 35B33 35J20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Dongsheng Nontrivial solutions to semilinear elliptic problems involving two critical Hardy-Sobolev exponents. (English) Zbl 1187.35088 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4230-4243 (2010). MSC: 35J61 35B33 35J91 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Sihua; Zhang, Jihui Multiplicity of solutions for a class of quasilinear elliptic equation involving the critical Sobolev and Hardy exponents. (English) Zbl 1184.35142 NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 1, 55-67 (2010). MSC: 35J62 35J92 35J25 35J20 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Dongsheng Quasilinear elliptic problems with critical exponents and Hardy terms in \(\mathbb R^N\). (English) Zbl 1187.35097 Proc. Edinb. Math. Soc., II. Ser. 53, No. 1, 175-193 (2010). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35J62 35J25 35J20 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Assunçaõ, R. B.; Carriaõ, P. C.; Miyagaki, O. H. Multiplicity results for a degenerate quasilinear elliptic equation in half-space. (English) Zbl 1240.35192 Differ. Integral Equ. 22, No. 7-8, 753-770 (2009). MSC: 35J70 35J62 35B20 35B33 × Cite Format Result Cite Review PDF
Deng, Zhiying; Huang, Yisheng Positive solutions for nonhomogeneous elliptic problems with critical Hardy-Sobolev exponents. (Chinese. English summary) Zbl 1212.35112 Acta Math. Appl. Sin. 32, No. 6, 1104-1122 (2009). MSC: 35J60 × Cite Format Result Cite Review PDF
Kang, Dongsheng On the weighted elliptic problems involving multi-singular potentials and multi-critical exponents. (English) Zbl 1180.35235 Acta Math. Sin., Engl. Ser. 25, No. 3, 435-444 (2009). MSC: 35J60 35B33 35B09 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Dongsheng Quasilinear elliptic problems involving multiple critical Hardy-Sobolev exponents. (English) Zbl 1165.35369 Comput. Math. Appl. 57, No. 1, 107-116 (2009). MSC: 35J60 35J20 35J25 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Shang, Yan-Ying; Tang, Chun-Lei Positive solutions for Neumann elliptic problems involving critical Hardy-Sobolev exponent with boundary singularities. (English) Zbl 1160.35422 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 3, 1302-1320 (2009). MSC: 35J65 35J20 35B33 35D05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Minbo Multiple nontrivial solutions for semilinear elliptic equations with critical exponent. (Chinese. English summary) Zbl 1174.35383 J. Zhejiang Norm. Univ., Nat. Sci. 31, No. 1, 26-32 (2008). MSC: 35J60 35B33 × Cite Format Result Cite Review PDF
Yang, Minbo; Shen, Zifei Infinitely many solutions for a class of fourth order elliptic equations in \(\mathbb R^N\). (English) Zbl 1154.35335 Acta Math. Sin., Engl. Ser. 24, No. 8, 1269-1278 (2008). MSC: 35J40 35J35 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
He, Xiaoming; Zou, Wenming Nontrivial solutions for some singular critical growth semilinear elliptic equations. (English) Zbl 1141.35032 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 12, 3719-3732 (2008). MSC: 35J65 35B33 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Nazarov, Alexander I. Dirichlet and Neumann problems to critical Emden-Fowler type equations. (English) Zbl 1295.49003 J. Glob. Optim. 40, No. 1-3, 289-303 (2008). MSC: 49J20 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Chabrowski, J. The Neumann problem for semilinear elliptic equations with critical Sobolev exponent. (English) Zbl 1139.35316 Milan J. Math. 75, 197-224 (2007). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35B33 35J20 35J65 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Zifei; Yang, Minbo Multiple nodal solutions for quasilinear elliptic problems involving Hardy-Sobolev critical exponents in symmetric domain. (English) Zbl 1155.35355 J. Math. Anal. Appl. 335, No. 1, 524-542 (2007); retraction notice ibid. 344, No. 2, 1176 (2008). MSC: 35J60 35J20 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jianqing On a semilinear elliptic equation with singular term and Hardy-Sobolev critical growth. (English) Zbl 1187.35082 Math. Nachr. 280, No. 8, 838-850 (2007). MSC: 35J61 35J20 35B09 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Minbo; Shen, Zifei Multiple nontrivial solutions for semilinear elliptic equations with Hardy-Sobolev critical exponent. (Chinese. English summary) Zbl 1221.35127 Acta Math. Sin., Chin. Ser. 49, No. 4, 819-826 (2006). MSC: 35J30 × Cite Format Result Cite Review PDF
Dem’yanov, A. V.; Nazarov, A. I. On the existence of extremal functions in Sobolev embedding theorems with critical exponents. (English. Russian original) Zbl 1113.49010 St. Petersbg. Math. J. 17, No. 5, 773-796 (2006); translation from Algebra Anal. 17, No. 5, 105-140 (2005). MSC: 49J40 49K30 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Zi Fei; Yang, Min Bo Nontrivial solutions for Hardy-Sobolev critical elliptic equations. (Chinese. English summary) Zbl 1124.35315 Acta Math. Sin. 48, No. 5, 999-1010 (2005). MSC: 35J60 35J25 47J30 58E05 × Cite Format Result Cite Review PDF
Chen, Jianqing Some further results on a semilinear equation with concave-convex nonlinearity. (English) Zbl 1130.35032 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 1, 71-87 (2005). Reviewer: Aleksander Pankov (Baltimore) MSC: 35J20 35J70 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jianqing Multiple positive solutions for a class of nonlinear elliptic equations. (English) Zbl 1081.35030 J. Math. Anal. Appl. 295, No. 2, 341-354 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 35J20 35B05 35B33 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Dongsheng; Peng, Shuangjie Sign-changing solutions for elliptic problems with critical Sobolev-Hardy exponents. (English) Zbl 1045.35029 J. Math. Anal. Appl. 291, No. 2, 488-499 (2004). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J60 35B33 35J65 × Cite Format Result Cite Review PDF Full Text: DOI