Yao, Fengping Hölder continuity of the gradients for non-homogenous elliptic equations of \(p(x)\)-Laplacian type. (English) Zbl 1540.35233 Ann. Funct. Anal. 15, No. 2, Paper No. 40, 17 p. (2024). MSC: 35J92 35J47 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Berghout, Mohamed Fractional variable exponents Sobolev trace spaces and Dirichlet problem for the regional fractional \(p(.)\)-Laplacian. (English) Zbl 1530.46025 J. Elliptic Parabol. Equ. 9, No. 1, 565-594 (2023). Reviewer: Abdolrahman Razani (Qazvin) MSC: 46E35 35J92 × 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
Yao, Fengping Hölder estimates for the elliptic \(p(x)\)-Laplacian equation with the logarithmic function. (English) Zbl 1492.35134 Appl. Anal. 101, No. 8, 3048-3064 (2022). MSC: 35J92 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Fiorenza, Alberto; Giannetti, Flavia Removability of zero modular capacity sets. (English) Zbl 1469.31019 Rev. Mat. Complut. 34, No. 2, 511-540 (2021). MSC: 31B15 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ying; Yao, Fengping Besov regularity estimates for the elliptic \(p(x)\)-Laplacian equation with the logarithmic growth. (English) Zbl 1460.35178 J. Math. Anal. Appl. 498, No. 2, Article ID 124974, 21 p. (2021). MSC: 35J92 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
El Hamdaoui, Bouchra; Bennouna, Jaouad On some nonlinear parabolic equations with variable exponents and measure data. (English) Zbl 07836853 Moroccan J. Pure Appl. Anal. 6, No. 1, 93-117 (2020). MSC: 47J35 46E35 35K60 × Cite Format Result Cite Review PDF Full Text: DOI
Byun, Sun-Sig; Lee, Ki-Ahm; Oh, Jehan; Park, Jinwan Regularity results of the thin obstacle problem for the \(p(x)\)-Laplacian. (English) Zbl 1412.49076 J. Funct. Anal. 276, No. 2, 496-519 (2019). Reviewer: Elvira Mascolo (Firenze) MSC: 49N60 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Byun, Sun-Sig; Oh, Jehan Global gradient estimates for asymptotically regular problems of \(p(x)\)-Laplacian type. (English) Zbl 1407.35091 Commun. Contemp. Math. 20, No. 8, Article ID 1750079, 15 p. (2018). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J92 35H99 × Cite Format Result Cite Review PDF Full Text: DOI
Afrouzi, G. A.; Mirzapour, M.; Rădulescu, Vicenţiu D. Variational analysis of anisotropic Schrödinger equations without Ambrosetti-Rabinowitz-type condition. (English) Zbl 1393.35048 Z. Angew. Math. Phys. 69, No. 1, Paper No. 9, 17 p. (2018). Reviewer: Patrick Winkert (Berlin) MSC: 35J62 35J70 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Mizuta, Yoshihiro; Ohno, Takao; Shimomura, Tetsu Sobolev inequalities for Musielak-Orlicz spaces. (English) Zbl 1392.46037 Manuscr. Math. 155, No. 1-2, 209-227 (2018). MSC: 46E35 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Ohno, Takao; Shimomura, Tetsu Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces. (English) Zbl 1413.46037 Czech. Math. J. 66, No. 2, 371-394 (2016). Reviewer: Olli Martio (Helsinki) MSC: 46E35 31B15 30L99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Zou, Weilin; Wang, Wei; Bi, Yanhui On a class of nonlinear obstacle problems with nonstandard growth. (English) Zbl 1334.35068 Math. Methods Appl. Sci. 38, No. 14, 2911-2921 (2015). Reviewer: Leszek Gasiński (Kraków) MSC: 35J87 47J20 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Rădulescu, Vicenţiu D.; Stăncuţ, Ionela-Loredana Combined concave-convex effects in anisotropic elliptic equations with variable exponent. (English) Zbl 1318.35060 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 3, 391-410 (2015). MSC: 35J92 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Fengping Hölder regularity for the general parabolic \(p(x, t)\)-Laplacian equations. (English) Zbl 1327.35229 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 1, 105-119 (2015). MSC: 35K92 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Fengping Weighted gradient estimates for the general elliptic \(p(x)\)-Laplacian equations. (English) Zbl 1314.35051 J. Math. Anal. Appl. 415, No. 2, 644-660 (2014). Reviewer: Patrick Winkert (Berlin) MSC: 35J60 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chao; Wang, Lihe; Zhou, Shulin; Kim, Yun-Ho Global gradient estimates for \(p(x)\)-Laplace equation in non-smooth domains. (English) Zbl 1304.35726 Commun. Pure Appl. Anal. 13, No. 6, 2559-2587 (2014). MSC: 35R05 35J92 35J25 42B37 42B20 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Yun-Ho Existence of an unbounded branch of the set of solutions for equations of \(p(x)\)-Laplace type. (English) Zbl 1302.35170 Bound. Value Probl. 2014, Paper No. 27, 20 p. (2014). MSC: 35J60 35B32 35D30 35P30 37K50 46E35 47J10 × Cite Format Result Cite Review PDF Full Text: DOI
Afrouzi, Ghasem A.; Mirzapour, M.; Rădulescu, Vicenţiu Qualitative properties of anisotropic elliptic Schrödinger equations. (English) Zbl 1301.35043 Adv. Nonlinear Stud. 14, No. 3, 747-765 (2014). MSC: 35J62 35J70 46E35 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Fengping Hölder regularity of the gradient for the non-homogeneous parabolic \(p(x,t)\)-Laplacian equations. (English) Zbl 1317.35138 Math. Methods Appl. Sci. 37, No. 12, 1863-1872 (2014). Reviewer: Yuanyuan Ke (Beijing) MSC: 35K92 35K55 35K65 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chao; Zhou, Shulin Global weighted estimates for quasilinear elliptic equations with non-standard growth. (English) Zbl 1294.35183 J. Funct. Anal. 267, No. 2, 605-642 (2014). MSC: 35R05 35J62 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Byun, Sun-Sig; Ok, Jihoon; Wang, Lihe \(W^{1,p(\cdot)}\)-regularity for elliptic equations with measurable coefficients in nonsmooth domains. (English) Zbl 1295.35216 Commun. Math. Phys. 329, No. 3, 937-958 (2014). Reviewer: Stephan Fackler (Ulm) MSC: 35J47 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chao; Zhou, Shulin; Xue, Xiaoping Global gradient estimates for the parabolic \(p(x, t)\)-Laplacian equation. (English) Zbl 1287.35095 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 105, 86-101 (2014). MSC: 35R05 35R35 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Eleuteri, Michela; Harjulehto, Petteri; Lukkari, Teemu Global regularity and stability of solutions to obstacle problems with nonstandard growth. (English) Zbl 1272.49013 Rev. Mat. Complut. 26, No. 1, 147-181 (2013). MSC: 49J40 49N60 35B20 35J25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Sihua; Zhang, Jihui Infinitely many small solutions for the \( p (x)\)-Laplacian operator with nonlinear boundary conditions. (English) Zbl 1266.35093 Ann. Mat. Pura Appl. (4) 192, No. 1, 1-16 (2013). MSC: 35J66 35B33 35J62 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chao; Zhou, Shulin Hölder regularity for the gradients of solutions of the strong \(p(x)\)-Laplacian. (English) Zbl 1234.35122 J. Math. Anal. Appl. 389, No. 2, 1066-1077 (2012). MSC: 35J92 35B65 26B35 × Cite Format Result Cite Review PDF Full Text: DOI
Latvala, Visa; Lukkari, Teemu; Toivanen, Olli The fundamental convergence theorem for \(p(\cdot )\)-superharmonic functions. (English) Zbl 1228.31005 Potential Anal. 35, No. 4, 329-351 (2011). MSC: 31C45 35J60 35B60 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Yun-Ho; Wang, Lihe; Zhang, Chao Global bifurcation for a class of degenerate elliptic equations with variable exponents. (English) Zbl 1198.35089 J. Math. Anal. Appl. 371, No. 2, 624-637 (2010). MSC: 35J60 35J25 35B40 47J15 × Cite Format Result Cite Review PDF Full Text: DOI
Autuori, Giuseppina; Pucci, Patrizia; Salvatori, Maria Cesarina Global nonexistence for nonlinear Kirchhoff systems. (English) Zbl 1201.35138 Arch. Ration. Mech. Anal. 196, No. 2, 489-516 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 35L70 35L15 35L20 × Cite Format Result Cite Review PDF Full Text: DOI
Dinca, George; Isaia, Florin Generalized Pohožaev and Pucci-Serrin identities and non-existence results for \(p(x)\)-Laplacian type equations. (English) Zbl 1213.35226 Rend. Circ. Mat. Palermo (2) 59, No. 1, 1-46 (2010). Reviewer: Zhilin Yang (Qingdao) MSC: 35J62 35J75 46E35 47H30 × Cite Format Result Cite Review PDF Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Lê, Út V.; Nuortio, Matti Overview of differential equations with non-standard growth. (English) Zbl 1188.35072 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4551-4574 (2010). MSC: 35J60 35J20 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chao; Zhou, Shulin Renormalized and entropy solutions for nonlinear parabolic equations with variable exponents and \(L^{1}\) data. (English) Zbl 1195.35097 J. Differ. Equations 248, No. 6, 1376-1400 (2010). Reviewer: Peter Lindqvist (Trondheim) MSC: 35D99 35K99 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Lukkari, Teemu Singular solutions of elliptic equations with nonstandard growth. (English) Zbl 1180.35253 Math. Nachr. 282, No. 12, 1770-1787 (2009). MSC: 35J70 35B05 31C45 31C05 × Cite Format Result Cite Review PDF Full Text: DOI
Cianci, Paolo; Nicolosi, Francesco Boundedness of solutions for an elliptic equation with non-standard growth. (English) Zbl 1170.35396 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 1825-1832 (2009). MSC: 35J60 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Fortini, Roberto; Mugnai, Dimitri; Pucci, Patrizia Maximum principles for anisotropic elliptic inequalities. (English) Zbl 1169.35314 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 8, 2917-2929 (2009). MSC: 35B45 35J60 35B50 35B05 × Cite Format Result Cite Review PDF Full Text: DOI
Autuori, Giuseppina; Pucci, Patrizia; Salvatori, Maria Cesarina Asymptotic stability for anisotropic Kirchhoff systems. (English) Zbl 1175.35013 J. Math. Anal. Appl. 352, No. 1, 149-165 (2009). MSC: 35B35 35L70 45K05 35L20 × Cite Format Result Cite Review PDF Full Text: DOI
Mihăilescu, Mihai; Pucci, Patrizia; Rădulescu, Vicenţiu Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent. (English) Zbl 1135.35058 J. Math. Anal. Appl. 340, No. 1, 687-698 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35P30 49R50 × Cite Format Result Cite Review PDF Full Text: DOI
Harjulehto, Petteri; Kinnunen, Juha; Lukkari, Teemu Unbounded supersolutions of nonlinear equations with nonstandard growth. (English) Zbl 1161.35020 Bound. Value Probl. 2007, Article ID 48348, 20 p. (2007). Reviewer: Marlène Frigon (Montréal) MSC: 35J60 35D10 35J20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML