Goodrich, Christopher S. An application of Sobolev’s inequality to one-dimensional Kirchhoff equations. (English) Zbl 1541.34044 J. Differ. Equations 385, 463-486 (2024). Reviewer: Haiyan Wang (Phoenix) MSC: 34B18 34B08 34B10 47H10 34A09 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Sobolev type inequalities for fractional maximal functions and Riesz potentials in Morrey spaces of variable exponent on half spaces. (English) Zbl 07790569 Czech. Math. J. 73, No. 4, 1201-1217 (2023). MSC: 46E30 42B25 31B15 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Zhen; Wang, Jungang; Liu, Ying; Nie, Yufeng Unconditional convergence analysis of two linearized Galerkin FEMs for the nonlinear time-fractional diffusion-wave equation. (English) Zbl 1531.65162 Results Appl. Math. 19, Article ID 100389, 14 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Sobolev’s inequality in Musielak-Orlicz-Morrey spaces of an integral form. (English) Zbl 1535.46044 Math. Nachr. 296, No. 9, 4152-4168 (2023). MSC: 46E36 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Hardy-Littlewood-Sobolev theorem for variable Riesz potentials. (English) Zbl 1520.46014 Result. Math. 78, No. 3, Paper No. 100, 22 p. (2023). MSC: 46E35 46E30 31B15 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Generalized fractional maximal operators on Musielak-Orlicz-Morrey spaces. (English) Zbl 1514.42026 Positivity 27, No. 2, Paper No. 31, 29 p. (2023). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 42B25 46E30 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Sobolev’s inequality for Musielak-Orlicz-Sobolev functions. (English) Zbl 1519.46025 Result. Math. 78, No. 3, Paper No. 90, 25 p. (2023). MSC: 46E35 46E30 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Riesz potentials and Sobolev-type inequalities in Orlicz-Morrey spaces of an integral form. (English) Zbl 1538.46041 Czech. Math. J. 73, No. 1, 263-276 (2023). MSC: 46E36 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Sobolev-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form. (English) Zbl 1511.46019 Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 31, 16 p. (2023). MSC: 46E30 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Trudinger’s inequalities for Riesz potentials in Morrey spaces of double phase functionals on half spaces. (English) Zbl 1522.46025 Can. Math. Bull. 65, No. 4, 924-935 (2022). MSC: 46E30 42B25 31B15 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Generalized fractional integral operators on variable exponent Morrey type spaces over metric measure spaces. (English) Zbl 07671929 Port. Math. 79, No. 3-4, 265-282 (2022). MSC: 47G10 46E30 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Yiwei; Liu, Shan Notes on multiple periodic solutions for second order Hamiltonian systems. (English) Zbl 1506.37082 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 141, 18 p. (2022). MSC: 37J46 37J51 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu On Sobolev-type inequalities on Morrey spaces of an integral form. (English) Zbl 1504.46038 Taiwanese J. Math. 26, No. 4, 831-845 (2022). MSC: 46E30 46E36 42B25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ohno, T.; Shimomura, T. Generalized fractional integral operators on variable exponent Morrey spaces of an integral form. (English) Zbl 1524.46041 Acta Math. Hung. 167, No. 1, 201-214 (2022). MSC: 46E30 42B25 47G10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Y.; Ohno, T.; Shimomura, T. Maximal and Riesz potential operators in double phase Lorentz spaces of variable exponents. (English) Zbl 1501.46028 Math. Notes 111, No. 5, 729-735 (2022). MSC: 46E30 42B25 47G10 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Sobolev-type inequalities on variable exponent Morrey spaces of an integral form. (English) Zbl 1501.46029 Ric. Mat. 71, No. 1, 189-204 (2022). MSC: 46E30 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Mamedov, Farman; Monsurró, Sara Sobolev inequality with non-uniformly degenerating gradient. (English) Zbl 07541809 Electron. J. Qual. Theory Differ. Equ. 2022, Paper No. 24, 19 p. (2022). MSC: 42-XX 26D10 35B45 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Hardy-Sobolev inequality for Sobolev functions in central Herz-Morrey spaces. (English) Zbl 1535.46033 Math. Nachr. 294, No. 6, 1148-1159 (2021). MSC: 46E30 46E35 26D10 31B15 × Cite Format Result Cite Review PDF Full Text: DOI
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Boundedness of maximal operator, Hardy operator and Sobolev’s inequalities on non-homogeneous central Herz-Morrey-Musielak-Orlicz spaces. (English) Zbl 1477.31025 Hiroshima Math. J. 51, No. 1, 13-55 (2021). MSC: 31B15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces. (English) Zbl 1481.46030 Positivity 25, No. 3, 1131-1146 (2021). MSC: 46E35 42B25 31B15 × Cite Format Result Cite Review PDF Full Text: DOI
Alhajji, Fatima; Ghobber, Saifallah Some uncertainty inequalities for the continuous wavelet transform. (English) Zbl 1477.42036 J. Pseudo-Differ. Oper. Appl. 12, No. 2, Paper No. 37, 25 p. (2021). Reviewer: Somantika Datta (Moscow) MSC: 42C40 94A12 45P05 42C25 26D10 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Weak estimates for the maximal and Riesz potential operators in central Herz-Morrey spaces on the unit ball. (English) Zbl 1472.31008 Z. Anal. Anwend. 40, No. 2, 183-207 (2021). Reviewer: Jie Xiao (St. John’s) MSC: 31B15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Boundedness of fractional maximal operators for double phase functionals with variable exponents. (English) Zbl 1478.46028 J. Math. Anal. Appl. 501, No. 1, Article ID 124360, 16 p. (2021). MSC: 46E30 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Sobolev’s inequality for Musielak-Orlicz-Morrey spaces over metric measure spaces. (English) Zbl 1477.46045 J. Aust. Math. Soc. 110, No. 3, 371-385 (2021). MSC: 46E36 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Mallick, Arka; Nguyen, Hoai-Minh Exponential integrability in the spirit of Moser-Trudinger’s inequalities of functions with finite non-local, non-convex energy. (English) Zbl 1477.46042 Pure Appl. Funct. Anal. 5, No. 5, 1153-1165 (2020). MSC: 46E35 26B30 26D10 42B20 49J45 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Boundedness of the maximal and potential operators in Herz-Morrey type spaces. (English) Zbl 1460.31016 Complex Var. Elliptic Equ. 65, No. 9, 1575-1589 (2020). MSC: 31B15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Sobolev’s inequality for Riesz potentials of functions in Musielak-Orlicz-Morrey spaces over non-doubling metric measure spaces. (English) Zbl 1451.46039 Can. Math. Bull. 63, No. 2, 287-303 (2020). Reviewer: Ahmed Youssfi (Fès) MSC: 46E36 46E30 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Sobolev’s inequality for double phase functionals with variable exponents. (English) Zbl 1423.46049 Forum Math. 31, No. 2, 517-527 (2019). MSC: 46E30 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Ikoma, Norihisa; Ishiwata, Michinori; Wadade, Hidemitsu Existence and non-existence of maximizers for the Moser-Trudinger type inequalities under inhomogeneous constraints. (English) Zbl 1482.46038 Math. Ann. 373, No. 1-2, 831-851 (2019). MSC: 46E35 26D10 47J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lv, Xiang Existence of periodic solutions for a class of second-order \(p\)-Laplacian systems. (English) Zbl 1427.34037 Appl. Math. Comput. 338, 515-519 (2018). MSC: 34B15 34C25 35B38 35J92 × Cite Format Result Cite Review PDF Full Text: DOI
Vahedi, Fatemeh; Afrouzi, Ghasem A.; Alimohammady, M. Periodic solutions for some second-order impulsive Hamiltonian systems. (English) Zbl 1438.34130 An. Univ. Craiova, Ser. Mat. Inf. 45, No. 2, 303-311 (2018). MSC: 34C25 34B37 × Cite Format Result Cite Review PDF
Ohno, Takao; Shimomura, Tetsu Sobolev’s inequality for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces. (English) Zbl 1508.46030 Math. Nachr. 291, No. 10, 1547-1562 (2018). MSC: 46E36 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Maximal and Riesz potential operators on Musielak-Orlicz spaces over metric measure spaces. (English) Zbl 1401.42020 Integral Equations Oper. Theory 90, No. 6, Paper No. 62, 18 p. (2018). MSC: 42B25 42B20 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Sawano, Yoshihiro; Shimomura, Tetsu Generalized fractional integral operators on generalized Orlicz-Morrey spaces of the second kind over non-doubling metric measure spaces. (English) Zbl 1388.42059 Georgian Math. J. 25, No. 2, 303-311 (2018). MSC: 42B25 26A33 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Shimomura, Tetsu Variable exponent weighted norm inequality for generalized Riesz potentials. (English) Zbl 1393.46023 Ann. Acad. Sci. Fenn., Math. 43, No. 1, 563-577 (2018). MSC: 46E30 31B15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Song, He; An, Tianqing Periodic solutions for a class of nonautonomous subquadratic second order Hamilonian system. (Chinese. English summary) Zbl 1399.37038 Math. Pract. Theory 47, No. 7, 279-284 (2017). MSC: 37J45 37J25 × Cite Format Result Cite Review PDF
Sawano, Yoshihiro; Shimomura, Tetsu Generalized fractional integral operators over non-doubling metric measure spaces. (English) Zbl 1372.42011 Integral Transforms Spec. Funct. 28, No. 7, 534-546 (2017). MSC: 42B20 42B35 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Hirao, Masatake; Okuda, Takayuki; Sawa, Masanori Some remarks on cubature formulas with linear operators. (English) Zbl 1347.41038 J. Math. Soc. Japan 68, No. 2, 711-735 (2016). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A55 65D32 05E99 15A63 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Ye, Yiwei Periodic solutions of second-order systems with subquadratic convex potential. (English) Zbl 1349.34135 Electron. J. Qual. Theory Differ. Equ. 2015, Paper No. 43, 13 p. (2015). MSC: 34C25 34B15 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Benalili, Mohammed; Tahri, Kamel Multiple solutions to singular fourth order elliptic equations on compact manifolds. (English) Zbl 1331.58023 Complex Var. Elliptic Equ. 60, No. 12, 1621-1646 (2015). Reviewer: Junichi Aramaki (Saitama) MSC: 58J05 35D30 35J75 35J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maeda, Fumi-Yuki; Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Sobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey spaces. (English) Zbl 1327.31017 Ann. Acad. Sci. Fenn., Math. 40, No. 1, 403-426 (2015). Reviewer: Marius Ghergu (Dublin) MSC: 31B15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Lou, Hongwei Sharp constant for \(L^{p}-L^{\infty }\) type Sobolev’s inequality. (English) Zbl 1329.26030 Math. Inequal. Appl. 18, No. 2, 667-685 (2015). MSC: 26D10 34B27 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Musielak-Orlicz-Sobolev spaces on metric measure spaces. (English) Zbl 1363.46027 Czech. Math. J. 65, No. 2, 435-474 (2015). Reviewer: René L. Schilling (Dresden) MSC: 46E35 46E30 31B15 30L99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Suo, Hongmin; Di, Lan; An, Yucheng; Chu, Changmu Existence and multiplicity of periodic solutions for some second-order Hamiltonian systems. (English) Zbl 1333.37096 J. Inequal. Appl. 2014, Paper No. 411, 13 p. (2014). MSC: 37J45 34A12 37J05 46E35 70H05 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Futamura, Toshihide; Mizuta, Yoshihiro; Ohno, Takao Sobolev’s theorem for Riesz potentials of functions in grand Morrey spaces of variable exponent. (English) Zbl 1332.31007 Kato, Mikio (ed.) et al., Proceedings of the 4th international symposium on Banach and function spaces IV (ISBFS 2012), Kitakyushu, Japan, September 12–15, 2012. Yokohama: Yokohama Publishers (ISBN 978-4-946552-48-9/hbk). 353-365 (2014). MSC: 31B15 46E35 × Cite Format Result Cite Review PDF
Ohno, Takao; Shimomura, Tetsu Sobolev embeddings for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces. (English) Zbl 1340.31009 Czech. Math. J. 64, No. 1, 209-228 (2014). MSC: 31B15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI Link
He, Song; Tianqing, An Periodic solutions for a class of nonautonomous subquadratic second-order Hamiltonian system. (English) Zbl 1306.37064 J. Appl. Math. Bioinform. 4, No. 2, 147-162 (2014). MSC: 37J45 37C60 × Cite Format Result Cite Review PDF
Zhang, Xingyong Notes on periodic solutions for a nonlinear discrete system involving the \(p\)-Laplacian. (English) Zbl 1288.93047 Bull. Malays. Math. Sci. Soc. (2) 37, No. 2, 499-509 (2014). MSC: 93C10 93C55 39A23 37J45 35A15 × Cite Format Result Cite Review PDF Full Text: Link
Mizuta, Yoshihiro; Ohno, Takao Sobolev’s theorem and duality for Herz-Morrey spaces of variable exponent. (English) Zbl 1288.31010 Ann. Acad. Sci. Fenn., Math. 39, No. 1, 389-416 (2014). MSC: 31B15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Suo, Hongmin; An, Yucheng Existence of solutions for some nonautonomous second-order Hamiltonian systems. (Chinese. English summary) Zbl 1313.37060 J. Syst. Sci. Math. Sci. 33, No. 11, 1363-1369 (2013). MSC: 37J45 × Cite Format Result Cite Review PDF
Zhang, Ya-Nan; Sun, Zhi-Zhong; Wang, Ting-Chun Convergence analysis of a linearized Crank-Nicolson scheme for the two-dimensional complex Ginzburg-Landau equation. (English) Zbl 1274.65262 Numer. Methods Partial Differ. Equations 29, No. 5, 1487-1503 (2013). MSC: 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Benalili, Mohammed On singular \(Q\)-curvature type equations. (English) Zbl 1255.53029 J. Differ. Equations 254, No. 2, 547-598 (2013). MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Qiaohua On critical cases of Sobolev’s inequalities for Heisenberg groups. (English) Zbl 1274.22008 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 4, 1584-1592 (2012). MSC: 22E25 26D10 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Ling; Meng, Yijie; Zhang, Dandan Periodic solutions for a class of ordinary \(p\)-Laplacian systems. (English) Zbl 1265.34243 J. Sichuan Univ., Nat. Sci. Ed. 49, No. 3, 504-510 (2012). MSC: 34K13 58E30 × Cite Format Result Cite Review PDF Full Text: DOI
Psaradakis, Georgios An optimal Hardy-Morrey inequality. (English) Zbl 1261.26026 Calc. Var. Partial Differ. Equ. 45, No. 3-4, 421-441 (2012). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D15 46E35 39B62 35R45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mizuta, Yoshihiro; Shimomura, Tetsu A trace inequality of Riesz potentials in variable exponent Orlicz spaces. (English) Zbl 1261.46023 Math. Nachr. 285, No. 11-12, 1466-1485 (2012). MSC: 46E35 46E30 31B15 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu Sobolev’s inequality for Riesz potentials in Orlicz-Musielak spaces of variable exponent. (English) Zbl 1294.46037 Kato, Mikio (ed.) et al., Proceedings of the 3rd international symposium on Banach and function spaces (ISBFS 2009), Kitakyushu, Japan, September 14–17, 2009. Yokohama: Yokohama Publishers (ISBN 978-4-946552-43-4/hbk). 409-419 (2011). MSC: 46E35 31B15 42B25 × Cite Format Result Cite Review PDF
Dolbeault, Jean Sobolev and Hardy-Littlewood-Sobolev inequalities: duality and fast diffusion. (English) Zbl 1272.26010 Math. Res. Lett. 18, No. 6, 1037-1050 (2011). MSC: 26D10 46E35 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Xingyong; Tang, Xianhua Periodic solutions for second order Hamiltonian system with a \(p\)-Laplacian. (English) Zbl 1221.34183 Bull. Belg. Math. Soc. - Simon Stevin 18, No. 2, 301-309 (2011). MSC: 34K13 × Cite Format Result Cite Review PDF Full Text: Euclid
Tang, Xianhua; Zhang, Xingyong Periodic solutions for second-order Hamiltonian systems with a \(p\)-Laplacian. (English) Zbl 1219.34057 Ann. Univ. Mariae Curie-Skłodowska, Sect. A 64, No. 1, 93-113 (2010). Reviewer: Fengqin Zhang (Yuncheng) MSC: 34C25 70H05 58E50 37J45 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jun; Zhang, Fubao; Wei, Jicheng Existence and multiplicity of periodic solutions for second-order systems at resonance. (English) Zbl 1205.34045 Nonlinear Anal., Real World Appl. 11, No. 5, 3782-3790 (2010). MSC: 34C25 58E05 58E30 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Lian; Liu, Shuangqian; Zhao, Huijiang A note on the optimal temporal decay estimates of solutions to the Cahn-Hilliard equation. (English) Zbl 1203.35040 J. Math. Anal. Appl. 372, No. 2, 666-678 (2010). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B40 35K30 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Balinsky, A. A.; Evans, W. D. Some recent results on Hardy-type inequalities. (English) Zbl 1189.26038 Appl. Math. Inf. Sci. 4, No. 2, 191-208 (2010). MSC: 26D15 × Cite Format Result Cite Review PDF
Futamura, Toshihide; Mizuta, Yoshihiro; Shimomura, Tetsu Integrability of maximal functions and Riesz potentials in Orlicz spaces of variable exponent. (English) Zbl 1193.46016 J. Math. Anal. Appl. 366, No. 2, 391-417 (2010). Reviewer: Stephen J. Gardiner (Dublin) MSC: 46E30 31B15 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhao-Hong; Ni, Yong-Qin; Kim, Jong Kyu Existence of subharmonic solutions for non-autonomous second order Hamiltonian systems under some weak conditions. (English) Zbl 1226.37043 Nonlinear Funct. Anal. Appl. 14, No. 1, 99-108 (2009). MSC: 37J45 × Cite Format Result Cite Review PDF
Mokrani, Houda Semi-linear sub-elliptic equations on the Heisenberg group with a singular potential. (English) Zbl 1179.35334 Commun. Pure Appl. Anal. 8, No. 5, 1619-1636 (2009). MSC: 35R03 35J20 22E30 35J61 35D30 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Yang, Rigao; Deng, Xiaocheng Periodic solutions for some Hamiltonian systems. (English) Zbl 1181.34052 J. Appl. Math. Comput. 31, No. 1-2, 309-315 (2009). MSC: 34C25 37J45 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Adıvar, Murat; Raffoul, Youssef N. Existence results for periodic solutions of integro-dynamic equations on time scales. (English) Zbl 1176.45008 Ann. Mat. Pura Appl. (4) 188, No. 4, 543-559 (2009). Reviewer: Ahmed Hegazi (Mansoura) MSC: 45G15 34N05 45M15 × Cite Format Result Cite Review PDF Full Text: DOI
Ozawa, Tohru; Sasaki, Hironobu Inequalities associated with dilations. (English) Zbl 1179.26057 Commun. Contemp. Math. 11, No. 2, 265-277 (2009). MSC: 26D10 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Cassani, Daniele Lorentz-Sobolev spaces and systems of Schrödinger equations in \(\mathbb R^N\). (English) Zbl 1165.35010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 8, 2846-2854 (2009). MSC: 35J45 35J50 35Q55 46E30 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xian; Chen, Jilin Existence theorems of periodic solutions for a class of damped vibration problems. (English) Zbl 1166.34316 Appl. Math. Comput. 207, No. 1, 230-235 (2009). Reviewer: Marek Galewski (Łódź) MSC: 34C25 58E05 37J45 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jilin Variational principle and existence theorems of periodic solutions for a class of damped vibration problems. (English) Zbl 1199.34194 J. Yunnan Nation. Univ., Nat. Sci. 17, No. 1, 12-17 (2008). MSC: 34C25 37J45 58E05 × Cite Format Result Cite Review PDF
Sun, Zhao-Hong; Yang, Feng-Jian; Chen, Xin-Ming Subharmonic solutions for non-autonomous sublinear second order Hamiltonian systems. (English) Zbl 1171.34029 Nonlinear Funct. Anal. Appl. 13, No. 3, 367-376 (2008). Reviewer: Dorin Andrica (Cluj-Napoca) MSC: 34C25 47H04 58E05 37J45 × Cite Format Result Cite Review PDF
Yang, Rigao Periodic solutions of some non-autonomous second order Hamiltonian systems. (English) Zbl 1157.34324 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 8, 2333-2338 (2008). MSC: 34C25 37J45 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Rigao Periodic solutions of some autonomous second order Hamiltonian systems. (English) Zbl 1157.34323 J. Appl. Math. Comput. 28, No. 1-2, 51-58 (2008). MSC: 34C25 37J45 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xingyong; Zhou, Yinggao Periodic solutions of non-autonomous second order Hamiltonian systems. (English) Zbl 1173.34329 J. Math. Anal. Appl. 345, No. 2, 929-933 (2008). Reviewer: Liqin Zhao (Beijing) MSC: 34C25 37J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Wu, Xian; Chen, Shaoxiong; Teng, Kaimin On variational methods for a class of damped vibration problems. (English) Zbl 1141.34011 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 6, 1432-1441 (2008). Reviewer: Marek Galewski (Łódź) MSC: 34B15 47H04 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xian; Chen, Shao-Xiong; Zhao, Fukun New existence and multiplicity theorems of periodic solutions for non-autonomous second order Hamiltonian systems. (English) Zbl 1173.35436 Math. Comput. Modelling 46, No. 3-4, 550-556 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J45 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Tian, Yu; Zhang, Guosheng; Ge, Weigao Periodic solutions for a quasilinear non-autonomous second-order system. (English) Zbl 1116.34035 J. Appl. Math. Comput. 22, No. 1-2, 263-271 (2006). Reviewer: Fuhua Ling (Milpitas) MSC: 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Junfang; Zhu, Meijun Sharp local embedding inequalities. (English) Zbl 1089.58015 Commun. Pure Appl. Math. 59, No. 1, 122-144 (2006). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58E35 26D15 58J70 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Fukun; Wu, Xian Existence and multiplicity of nonzero periodic solution with saddle point character for some nonautonomous second order systems. (English) Zbl 1079.34519 J. Math. Anal. Appl. 308, No. 2, 588-595 (2005). MSC: 34C25 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Fukun; Wu, Xian Existence and multiplicity of periodic solution for non-autonomous second-order systems with linear nonlinearity. (English) Zbl 1087.34022 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 2, 325-335 (2005). Reviewer: Bojidar Cheshankov (Sofia) MSC: 34C25 34B15 37J45 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Continuity of Sobolev functions of variable exponent on metric spaces. (English) Zbl 1072.46506 Proc. Japan Acad., Ser. A 80, No. 6, 96-99 (2004). MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Wu, Xian Saddle point characterization and multiplicity of periodic solutions of non-autonomous second-order systems. (English) Zbl 1058.34053 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 7-8, 899-907 (2004). Reviewer: Emil Minchev (Tokyo) MSC: 34C25 58E30 × Cite Format Result Cite Review PDF Full Text: DOI
Alekseev, G. V. Control problems for stationary equations of magnetohydrodynamics. (Russian) Zbl 1224.76177 Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 3, 322-325 (2004); translation in Dokl. Math. 69, No. 2, 310-313 (2004). Reviewer: Andrei Zemskov (Moskva) MSC: 76W05 49K20 × Cite Format Result Cite Review PDF
Tang, Chun-Lei; Wu, Xing-Ping Periodic solutions for second order Hamiltonian systems with a change sign potential. (English) Zbl 1078.34023 J. Math. Anal. Appl. 292, No. 2, 506-516 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 34C25 37J45 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Chun-Lei; Wu, Xing-Ping Notes on periodic solutions of subquadratic second order systems. (English) Zbl 1054.34075 J. Math. Anal. Appl. 285, No. 1, 8-16 (2003). Reviewer: Ladislav Adamec (Brno) MSC: 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shuiqiang On periodic solutions of nonautonomous Lagrangian systems. (Chinese. English summary) Zbl 1029.37039 Acta Anal. Funct. Appl. 5, No. 1, 75-78 (2003). MSC: 37J45 34C25 58E05 × Cite Format Result Cite Review PDF
Tang, Chun-Lei Multiple solutions of Neumann problem for elliptic equations. (English) Zbl 1109.35345 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 4, 637-650 (2003). MSC: 35J60 35J20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Shimomura, Tetsu Continuity and differentiability for weighted Sobolev spaces. (English) Zbl 1029.46032 Proc. Am. Math. Soc. 130, No. 10, 2985-2994 (2002). Reviewer: L.Skrzypczak (Poznań) MSC: 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xing-Ping; Tang, Chun-Lei Some existence theorems for elliptic resonant problems. (English) Zbl 1098.35530 J. Math. Anal. Appl. 264, No. 1, 133-146 (2001). MSC: 35J65 35J20 35J60 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Chunlei; Wu, Xingping Periodic solutions for second order systems with not uniformly coercive potential. (English) Zbl 0999.34039 J. Math. Anal. Appl. 259, No. 2, 386-397 (2001). Reviewer: Ivan Ginchev (Varna) MSC: 34C25 × Cite Format Result Cite Review PDF Full Text: DOI
Murakami, Atsushi; Yamasaki, Maretsugu Inequalities on infinite networks. (English) Zbl 0960.31004 Mem. Fac. Sci. Eng., Shimane Univ., Ser. B, Math. Sci. 33, 47-62 (2000). Reviewer: Sophia L.Kalpazidou (Thessaloniki) MSC: 31C20 26D10 90C35 39A12 × Cite Format Result Cite Review PDF
Biroli, M. An elliptic problem with a layer. (English) Zbl 1059.35504 Nonlinear Bound. Value Probl. 9, 13-22 (1999). Reviewer: I. I. Skrypnik (Donetsk) MSC: 35J15 35B65 × Cite Format Result Cite Review PDF
Tang, Chun-Lei Periodic solutions for nonautonomous second order systems with sublinear nonlinearity. (English) Zbl 0902.34036 Proc. Am. Math. Soc. 126, No. 11, 3263-3270 (1998). MSC: 34C25 58E50 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Qianshun Three-dimensional discrete Sobolev’s inequalities in \(L_ p\) and \(L_ \infty\) norms. (Chinese. English summary) Zbl 0850.26006 Math. Numer. Sin. 13, No. 1, 6-11 (1991). MSC: 26D15 × Cite Format Result Cite Review PDF
Pachpatte, B. G. On some variants of Sobolev’s inequality. (English) Zbl 0754.26009 Soochow J. Math. 17, No. 1, 121-129 (1991). MSC: 26D10 35B45 46E39 × Cite Format Result Cite Review PDF
Chang, Sun-Yung A.; Yang, Paul C. Spectral invariants of conformal metrics. (English) Zbl 0804.53066 Harmonic analysis, Proc. Conf., Sendai/Jap. 1990, ICM-90 Satell. Conf. Proc., 51-60 (1991). Reviewer: M.Puta (Timişoara) MSC: 53C20 58J50 58D17 × Cite Format Result Cite Review PDF
Burton, T. A.; Casal, A.; Somolinos, A. Upper and lower bounds for Liapunov functionals. (English) Zbl 0687.34067 Funkc. Ekvacioj, Ser. Int. 32, No. 1, 23-55 (1989). Reviewer: P.Habets MSC: 34K20 34D20 × Cite Format Result Cite Review PDF
Deng, Qingping; Shen, Shumin Comment: “Optimal \(L^\infty\)-error estimates for piecewise linear finite elements in \(\mathbb{R}^n\) for \(1\leq n\leq 3\)” by L. Kohaupt. (Chinese) Zbl 0940.65115 J. Math. Res. Expo. 9, No. 3, 457-458 (1989). MSC: 65N15 65N30 35J25 × Cite Format Result Cite Review PDF