Akdim, Youssef; Ouboufettal, Morad Solvability of nonlinear elliptic inclusion problems in Orlicz spaces and \(L^1\)-data. (English) Zbl 07797030 Rend. Circ. Mat. Palermo (2) 73, No. 1, 489-511 (2024). MSC: 35J15 35J62 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Akdim} and \textit{M. Ouboufettal}, Rend. Circ. Mat. Palermo (2) 73, No. 1, 489--511 (2024; Zbl 07797030) Full Text: DOI
Chlebicka, Iwona; Karppinen, Arttu; Li, Ying A direct proof of existence of weak solutions to elliptic problems. (English) Zbl 07799926 Topol. Methods Nonlinear Anal. 62, No. 2, 643-665 (2023). MSC: 35J60 35J25 35A01 35A02 PDFBibTeX XMLCite \textit{I. Chlebicka} et al., Topol. Methods Nonlinear Anal. 62, No. 2, 643--665 (2023; Zbl 07799926) Full Text: DOI arXiv Link
Liu, Duchao; Yao, Jinghua; Wang, Beibei; Yang, Sibei Gradient estimate for the minimizers in Musielak-Orlicz-Sobolev space. (English) Zbl 07790734 Math. Methods Appl. Sci. 46, No. 12, 12291-12318 (2023). MSC: 35B45 35B38 35D30 35J20 PDFBibTeX XMLCite \textit{D. Liu} et al., Math. Methods Appl. Sci. 46, No. 12, 12291--12318 (2023; Zbl 07790734) Full Text: DOI
Liu, Duchao; Zhao, Peihao Local Morrey estimate in Musielak-Orlicz-Sobolev space. (English) Zbl 07787953 Topol. Methods Nonlinear Anal. 61, No. 2, 637-650 (2023). MSC: 35B65 35B38 35J62 PDFBibTeX XMLCite \textit{D. Liu} and \textit{P. Zhao}, Topol. Methods Nonlinear Anal. 61, No. 2, 637--650 (2023; Zbl 07787953) Full Text: DOI arXiv Link
Ortegón Gallego, Francisco; Ouyahya, Hakima; Rhoudaf, Mohamed Existence of a capacity solution to a nonlinear parabolic-elliptic coupled system in anisotropic Orlicz-Sobolev spaces. (English) Zbl 1518.35451 Results Appl. Math. 18, Article ID 100376, 20 p. (2023). MSC: 35K61 35D30 35G61 47H05 PDFBibTeX XMLCite \textit{F. Ortegón Gallego} et al., Results Appl. Math. 18, Article ID 100376, 20 p. (2023; Zbl 1518.35451) Full Text: DOI
Lahmi, B.; Rhoudaf, M.; Staïli, N. Numerical analysis of a nonlinear discrete duality finite volume scheme for Leray-Lions type elliptic problems in Orlicz spaces. (English) Zbl 07699016 Appl. Numer. Math. 185, 406-433 (2023). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{B. Lahmi} et al., Appl. Numer. Math. 185, 406--433 (2023; Zbl 07699016) Full Text: DOI
Ait Khellou, M.; Douiri, S. M.; Farjil, H.; Haddani, I.; Moumni, M. Non-linear elliptic unilateral problems with two lower-order terms in Orlicz spaces. (English) Zbl 1518.35269 J. Elliptic Parabol. Equ. 9, No. 1, 171-189 (2023). MSC: 35J15 35J62 35A01 PDFBibTeX XMLCite \textit{M. Ait Khellou} et al., J. Elliptic Parabol. Equ. 9, No. 1, 171--189 (2023; Zbl 1518.35269) Full Text: DOI
Ajagjal, Sana; Meskine, Driss Nonlinear elliptic equations with a lower-order term depending on the gradient in Orlicz spaces. (English) Zbl 1512.35254 Rend. Circ. Mat. Palermo (2) 72, No. 2, 1143-1161 (2023). MSC: 35J60 35J25 35A01 PDFBibTeX XMLCite \textit{S. Ajagjal} and \textit{D. Meskine}, Rend. Circ. Mat. Palermo (2) 72, No. 2, 1143--1161 (2023; Zbl 1512.35254) Full Text: DOI
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka Boundedness of functions in fractional Orlicz-Sobolev spaces. (English) Zbl 07668136 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113231, 26 p. (2023). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{A. Alberico} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113231, 26 p. (2023; Zbl 07668136) Full Text: DOI arXiv
Elarabi, Rabab; Lahmi, Badr; Ouyahya, Hakima On some nonlinear elliptic problems in anisotropic Orlicz-Sobolev spaces. (English) Zbl 1512.35216 Adv. Oper. Theory 8, No. 2, Paper No. 24, 19 p. (2023). MSC: 35J25 35J62 35A01 35A02 PDFBibTeX XMLCite \textit{R. Elarabi} et al., Adv. Oper. Theory 8, No. 2, Paper No. 24, 19 p. (2023; Zbl 1512.35216) Full Text: DOI
Le, Vy Khoi On variational inequalities on exterior domains with multivalued convection terms. (English) Zbl 1506.35107 Nonlinear Anal., Real World Appl. 70, Article ID 103787, 25 p. (2023). MSC: 35J92 49J40 PDFBibTeX XMLCite \textit{V. K. Le}, Nonlinear Anal., Real World Appl. 70, Article ID 103787, 25 p. (2023; Zbl 1506.35107) Full Text: DOI
Chlebicka, Iwona; Youn, Yeonghun; Zatorska-Goldstein, Anna Wolff potentials and measure data vectorial problems with Orlicz growth. (English) Zbl 1506.35058 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 64, 41 p. (2023). MSC: 35J47 35B65 PDFBibTeX XMLCite \textit{I. Chlebicka} et al., Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 64, 41 p. (2023; Zbl 1506.35058) Full Text: DOI arXiv
Mabdaoui, Mohamed; Moussa, Hicham; Rhoudaf, Mohamed Variational approximation in modular spaces by using finite element method approach. (English) Zbl 07637647 Numer. Funct. Anal. Optim. 44, No. 1, 64-85 (2023). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{M. Mabdaoui} et al., Numer. Funct. Anal. Optim. 44, No. 1, 64--85 (2023; Zbl 07637647) Full Text: DOI
Ambrosio, Luigi; Nicolussi Golo, Sebastiano; Serra Cassano, Francesco Optimal \(C^\infty\)-approximation of functions with exponentially or sub-exponentially integrable derivative. (English) Zbl 1510.46015 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 24, 21 p. (2023). MSC: 46E30 46E35 35A35 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 24, 21 p. (2023; Zbl 1510.46015) Full Text: DOI arXiv
Ahammou, A.; El Moumni, M.; El Ouardani, A. Nonlinear parabolic systems in Musielack-Orlicz space. (English) Zbl 07801870 Bol. Soc. Parana. Mat. (3) 40, Paper No. 82, 20 p. (2022). MSC: 35B40 35L70 PDFBibTeX XMLCite \textit{A. Ahammou} et al., Bol. Soc. Parana. Mat. (3) 40, Paper No. 82, 20 p. (2022; Zbl 07801870) Full Text: DOI
Bourahma, Mohamed; Bennouna, Jaouad; El Haji, Badr; Benkirane, Abdelmoujib Solvability of strongly nonlinear obstacle parabolic problems in inhomogeneous Orlicz-Sobolev spaces. (English) Zbl 07793319 J. Math. Phys. Anal. Geom. 18, No. 4, 463-487 (2022). MSC: 35K86 35Q35 PDFBibTeX XMLCite \textit{M. Bourahma} et al., J. Math. Phys. Anal. Geom. 18, No. 4, 463--487 (2022; Zbl 07793319) Full Text: DOI
Azraibi, Ouidad; El Haji, Badr; Mekkour, Mounir On some nonlinear elliptic problems with large monotonocity in Musielak-Orlicz-Sobolev spaces. (English) Zbl 07793263 J. Math. Phys. Anal. Geom. 18, No. 3, 332-349 (2022). MSC: 35J62 35J25 PDFBibTeX XMLCite \textit{O. Azraibi} et al., J. Math. Phys. Anal. Geom. 18, No. 3, 332--349 (2022; Zbl 07793263) Full Text: DOI
Chlebicka, Iwona; Nayar, Piotr Essentially fully anisotropic Orlicz functions and uniqueness to measure data problem. (English) Zbl 07777603 Math. Methods Appl. Sci. 45, No. 14, 8503-8527 (2022). MSC: 35R06 35J25 35J61 46E30 46E35 PDFBibTeX XMLCite \textit{I. Chlebicka} and \textit{P. Nayar}, Math. Methods Appl. Sci. 45, No. 14, 8503--8527 (2022; Zbl 07777603) Full Text: DOI arXiv
Ortegón Gallego, Francisco; Ouyahya, Hakima; Rhoudaf, Mohamed Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces. (English) Zbl 1505.35163 Electron. J. Differ. Equ. 2022, Paper No. 84, 32 p. (2022). MSC: 35J57 35J62 PDFBibTeX XMLCite \textit{F. Ortegón Gallego} et al., Electron. J. Differ. Equ. 2022, Paper No. 84, 32 p. (2022; Zbl 1505.35163) Full Text: Link
Borowski, Michał; Chlebicka, Iwona Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak-Orlicz-Sobolev spaces. (English) Zbl 1509.46020 J. Funct. Anal. 283, No. 12, Article ID 109716, 23 p. (2022). MSC: 46E35 46E40 46A80 PDFBibTeX XMLCite \textit{M. Borowski} and \textit{I. Chlebicka}, J. Funct. Anal. 283, No. 12, Article ID 109716, 23 p. (2022; Zbl 1509.46020) Full Text: DOI
Aberqi, A.; Bennouna, J.; Elmassoudi, M. Nonlinear elliptic equations with measure data in Orlicz spaces. (English) Zbl 1498.35265 Ukr. Math. J. 73, No. 12, 1835-1864 (2022) and Ukr. Mat. Zh. 73, No. 12, 1587-1611 (2021). MSC: 35J62 35A01 PDFBibTeX XMLCite \textit{A. Aberqi} et al., Ukr. Math. J. 73, No. 12, 1835--1864 (2022; Zbl 1498.35265) Full Text: DOI
Atlas, Abdelghafour; Karami, Fahd; Meskine, Driss; Ouakrim, Youssef; Oubbih, Omar A class of nonlinear parabolic systems having standard growth and \(L^1\) data. (English) Zbl 1492.35395 Nonlinear Anal., Real World Appl. 67, Article ID 103631, 27 p. (2022). MSC: 35Q94 94A08 35K57 68U10 49M41 35B45 35B65 65M06 65N06 46E30 94-08 35R30 PDFBibTeX XMLCite \textit{A. Atlas} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103631, 27 p. (2022; Zbl 1492.35395) Full Text: DOI
Elarabi, Rabab Strongly nonlinear coupled system in Orlicz-Sobolev spaces without \(\Delta_2\)-condition. (English) Zbl 1491.35212 J. Elliptic Parabol. Equ. 8, No. 1, 77-106 (2022). MSC: 35J62 35J66 46E30 35A01 PDFBibTeX XMLCite \textit{R. Elarabi}, J. Elliptic Parabol. Equ. 8, No. 1, 77--106 (2022; Zbl 1491.35212) Full Text: DOI
Chlebicka, Iwona; Giannetti, Flavia; Zatorska-Goldstein, Anna A note on uniqueness for \(L^1\)-data elliptic problems with Orlicz growth. (English) Zbl 1490.35149 Colloq. Math. 168, No. 2, 199-209 (2022). MSC: 35J60 35A01 35A02 PDFBibTeX XMLCite \textit{I. Chlebicka} et al., Colloq. Math. 168, No. 2, 199--209 (2022; Zbl 1490.35149) Full Text: DOI
Bourahma, Mohamed; Benkirane, Abdelmoujib; Bennouna, Jaouad Entropy solutions to a strongly nonlinear unilateral obstacle elliptic problem with Orlicz growth. (English) Zbl 1486.35224 Bull. Iran. Math. Soc. 48, No. 2, 587-612 (2022). MSC: 35J87 35A01 PDFBibTeX XMLCite \textit{M. Bourahma} et al., Bull. Iran. Math. Soc. 48, No. 2, 587--612 (2022; Zbl 1486.35224) Full Text: DOI
Aberqi, Ahmed; Benkirane, Abdelmoujib; Elmassoudi, Mhamed On some nonlinear degenerate elliptic equations having a lower term in Musielak spaces. (English) Zbl 1485.35223 Adv. Oper. Theory 7, No. 1, Paper No. 14, 20 p. (2022). MSC: 35J70 35J60 46E30 35A01 PDFBibTeX XMLCite \textit{A. Aberqi} et al., Adv. Oper. Theory 7, No. 1, Paper No. 14, 20 p. (2022; Zbl 1485.35223) Full Text: DOI
Alaoui, Mohammed Kbiri Parabolic inequalities in Orlicz spaces with data in \(L^1\). (English) Zbl 1487.35225 Open Math. 19, 1567-1578 (2021). MSC: 35K59 35K20 35K86 49J40 46E30 PDFBibTeX XMLCite \textit{M. K. Alaoui}, Open Math. 19, 1567--1578 (2021; Zbl 1487.35225) Full Text: DOI
El Haji, B.; El Moumni, M.; Kouhaila, K. Existence of entropy solutions for nonlinear elliptic problem having large monotonicity in weighted Orlicz-Sobolev spaces. (English) Zbl 1480.35185 Matematiche 76, No. 1, 37-61 (2021). MSC: 35J60 35J67 35A01 PDFBibTeX XMLCite \textit{B. El Haji} et al., Matematiche 76, No. 1, 37--61 (2021; Zbl 1480.35185) Full Text: DOI
Elarabi, R.; Rhoudaf, M. On the limit of some penalized problems in Musielak spaces without \(\Delta_2\)-condition. (English) Zbl 1479.35545 J. Elliptic Parabol. Equ. 7, No. 2, 671-703 (2021). MSC: 35K86 35K20 35B45 46E35 PDFBibTeX XMLCite \textit{R. Elarabi} and \textit{M. Rhoudaf}, J. Elliptic Parabol. Equ. 7, No. 2, 671--703 (2021; Zbl 1479.35545) Full Text: DOI
Dong, Ge; Fang, Xiaochun Barrier solutions of elliptic differential equations in Musielak-Orlicz-Sobolev spaces. (English) Zbl 1479.35301 J. Funct. Spaces 2021, Article ID 9927898, 10 p. (2021). MSC: 35J25 35J62 35A01 PDFBibTeX XMLCite \textit{G. Dong} and \textit{X. Fang}, J. Funct. Spaces 2021, Article ID 9927898, 10 p. (2021; Zbl 1479.35301) Full Text: DOI
Vorob’yov, N. A.; Mukminov, F. Kh. Existence of a renormalized solution of a parabolic problem in anisotropic Sobolev-Orlicz spaces. (English. Russian original) Zbl 1473.35333 J. Math. Sci., New York 258, No. 1, 37-64 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 39-64 (2019). MSC: 35K20 35K59 35K65 46E30 46E35 PDFBibTeX XMLCite \textit{N. A. Vorob'yov} and \textit{F. Kh. Mukminov}, J. Math. Sci., New York 258, No. 1, 37--64 (2021; Zbl 1473.35333); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 163, 39--64 (2019) Full Text: DOI
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces. (English) Zbl 1479.46036 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 4, 879-899 (2020). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{A. Alberico} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 4, 879--899 (2020; Zbl 1479.46036) Full Text: DOI
Moussa, H.; Rhoudaf, M.; Sabiki, H. Existence results for a perturbed Dirichlet problem without sign condition in Orlicz spaces. (English) Zbl 1454.35174 Ukr. Math. J. 72, No. 4, 585-606 (2020) and Ukr. Mat. Zh. 72, No. 4, 509-526 (2020). MSC: 35J62 35J25 35A01 PDFBibTeX XMLCite \textit{H. Moussa} et al., Ukr. Math. J. 72, No. 4, 585--606 (2020; Zbl 1454.35174) Full Text: DOI
Ahmida, Youssef; Youssfi, Ahmed Variational nonlinear elliptic equations in nonreflexive Musielak spaces. (English) Zbl 1454.35084 J. Math. Anal. Appl. 491, No. 2, Article ID 124387, 23 p. (2020). MSC: 35J20 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Ahmida} and \textit{A. Youssfi}, J. Math. Anal. Appl. 491, No. 2, Article ID 124387, 23 p. (2020; Zbl 1454.35084) Full Text: DOI
Azroul, Elhoussine; Benboubker, Mohamed Badr; Chrayteh, Houssam; Kouhaila, Khaled On necessary conditions for the weak lower semicontinuity of integral functionals in Musielak-Orlicz-Sobolev spaces. (English) Zbl 07254406 Rend. Mat. Appl., VII. Ser. 41, No. 2, 173-187 (2020). MSC: 47H17 47H05 47H09 PDFBibTeX XMLCite \textit{E. Azroul} et al., Rend. Mat. Appl., VII. Ser. 41, No. 2, 173--187 (2020; Zbl 07254406) Full Text: Link
Pastukhova, Svetlana; Chiadò Piat, Valeria Homogenization of multivalued monotone operators with variable growth exponent. (English) Zbl 1448.35198 Netw. Heterog. Media 15, No. 2, 281-305 (2020). MSC: 35J60 35J57 35J99 PDFBibTeX XMLCite \textit{S. Pastukhova} and \textit{V. Chiadò Piat}, Netw. Heterog. Media 15, No. 2, 281--305 (2020; Zbl 1448.35198) Full Text: DOI
Ait Khellou, Mustafa; Benkirane, Abdelmoujib; Douiri, Sidi Mohamed Some properties of Musielak spaces with only the log-Hölder continuity condition and application. (English) Zbl 1458.46022 Ann. Funct. Anal. 11, No. 4, 1062-1080 (2020). Reviewer: Ahmed Youssfi (Fès) MSC: 46E30 46E35 46A80 26D10 41A35 35K55 35K86 PDFBibTeX XMLCite \textit{M. Ait Khellou} et al., Ann. Funct. Anal. 11, No. 4, 1062--1080 (2020; Zbl 1458.46022) Full Text: DOI
Ahmida, Youssef; Fiorenza, Alberto; Youssfi, Ahmed \(H=W\) Musielak spaces framework. (English) Zbl 1460.46019 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 447-464 (2020). MSC: 46E35 46E30 46A80 PDFBibTeX XMLCite \textit{Y. Ahmida} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 447--464 (2020; Zbl 1460.46019) Full Text: DOI
Benkirane, Abdelmoujib; El Moumni, Mostafa; Kouhaila, Khaled Solvability of strongly nonlinear elliptic variational problems in weighted Orlicz-Sobolev spaces. (English) Zbl 1442.35118 S\(\vec{\text{e}}\)MA J. 77, No. 2, 119-142 (2020). MSC: 35J60 35J25 35J20 PDFBibTeX XMLCite \textit{A. Benkirane} et al., S\(\vec{\text{e}}\)MA J. 77, No. 2, 119--142 (2020; Zbl 1442.35118) Full Text: DOI
Balaadich, Farah; Azroul, Elhoussine Existence and uniqueness results for quasilinear parabolic systems in Orlicz spaces. (English) Zbl 1444.35106 J. Dyn. Control Syst. 26, No. 3, 407-421 (2020). MSC: 35K59 35Q30 46E30 35K51 49J45 PDFBibTeX XMLCite \textit{F. Balaadich} and \textit{E. Azroul}, J. Dyn. Control Syst. 26, No. 3, 407--421 (2020; Zbl 1444.35106) Full Text: DOI
Moussa, H.; Ortegón Gallego, F.; Rhoudaf, M. Capacity solution to a nonlinear elliptic coupled system in Orlicz-Sobolev spaces. (English) Zbl 1437.35312 Mediterr. J. Math. 17, No. 2, Paper No. 67, 28 p. (2020). MSC: 35J60 35J57 46E30 PDFBibTeX XMLCite \textit{H. Moussa} et al., Mediterr. J. Math. 17, No. 2, Paper No. 67, 28 p. (2020; Zbl 1437.35312) Full Text: DOI
Benkirane, Abdelmoujib; Mohamed, Deval Sidi; Khellou, Mustafa Ait On the regularity of solutions to the Poisson equation in Musielak-Orlicz spaces. (English) Zbl 1431.35019 Bol. Soc. Parana. Mat. (3) 38, No. 6, 173-195 (2020). MSC: 35J05 PDFBibTeX XMLCite \textit{A. Benkirane} et al., Bol. Soc. Parana. Mat. (3) 38, No. 6, 173--195 (2020; Zbl 1431.35019) Full Text: Link
Youssfi, Ahmed; Khatri, Mohamed Mahmoud Ould On a nonlinear eigenvalue problem for generalized Laplacian in Orlicz-Sobolev spaces. (English) Zbl 1429.35167 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111607, 22 p. (2020). MSC: 35P30 35D30 46E30 PDFBibTeX XMLCite \textit{A. Youssfi} and \textit{M. M. O. Khatri}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111607, 22 p. (2020; Zbl 1429.35167) Full Text: DOI arXiv
El Moumni, Mostafa Renormalized solutions for strongly nonlinear elliptic problems with lower order terms and measure data in Orlicz-Sobolev spaces. (English) Zbl 1455.35109 Iran. J. Math. Sci. Inform. 14, No. 1, 95-119 (2019). MSC: 35J62 35J25 35R06 PDFBibTeX XMLCite \textit{M. El Moumni}, Iran. J. Math. Sci. Inform. 14, No. 1, 95--119 (2019; Zbl 1455.35109) Full Text: Link
Alberico, Angela; Chlebicka, Iwona; Cianchi, Andrea; Zatorska-Goldstein, Anna Fully anisotropic elliptic problems with minimally integrable data. (English) Zbl 1428.35124 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 186, 50 p. (2019). MSC: 35J60 35J25 35A01 35A02 PDFBibTeX XMLCite \textit{A. Alberico} et al., Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 186, 50 p. (2019; Zbl 1428.35124) Full Text: DOI arXiv
Chlebicka, Iwona; Giannetti, Flavia; Zatorska-Goldstein, Anna Elliptic problems with growth in nonreflexive Orlicz spaces and with measure or \(L^1\) data. (English) Zbl 1433.35086 J. Math. Anal. Appl. 479, No. 1, 185-213 (2019); corrigendum ibid. 504, No. 1, Article ID 125339, 2 p. (2021). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J60 35J25 46E30 PDFBibTeX XMLCite \textit{I. Chlebicka} et al., J. Math. Anal. Appl. 479, No. 1, 185--213 (2019; Zbl 1433.35086) Full Text: DOI arXiv
Chlebicka, Iwona; Gwiazda, Piotr; Zatorska-Goldstein, Anna Parabolic equation in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev’s phenomenon. (English) Zbl 1419.35092 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1431-1465 (2019). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K55 35A01 35B65 PDFBibTeX XMLCite \textit{I. Chlebicka} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1431--1465 (2019; Zbl 1419.35092) Full Text: DOI arXiv
Essafi, Lakbir; Nassar, Said Hadj; Rhoudaf, Mohamed Rothe time-discretization method for a nonlinear parabolic problem in Orlicz-Sobolev spaces. (English) Zbl 1418.35223 J. Elliptic Parabol. Equ. 5, No. 1, 69-104 (2019). MSC: 35K55 35J60 PDFBibTeX XMLCite \textit{L. Essafi} et al., J. Elliptic Parabol. Equ. 5, No. 1, 69--104 (2019; Zbl 1418.35223) Full Text: DOI
Aberqi, A.; Bennouna, J.; Elmassoudi, M.; Hammoumi, M. Existence and uniqueness of a renormalized solution of parabolic problems in Orlicz spaces. (English) Zbl 07058105 Monatsh. Math. 189, No. 2, 195-219 (2019). MSC: 47A15 46A32 47D20 PDFBibTeX XMLCite \textit{A. Aberqi} et al., Monatsh. Math. 189, No. 2, 195--219 (2019; Zbl 07058105) Full Text: DOI
Chlebicka, Iwona; Gwiazda, Piotr; Zatorska-Goldstein, Anna Renormalized solutions to parabolic equations in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev’s phenomenon. (English) Zbl 1430.35123 J. Differ. Equations 267, No. 2, 1129-1166 (2019). MSC: 35K55 35A01 46E30 PDFBibTeX XMLCite \textit{I. Chlebicka} et al., J. Differ. Equations 267, No. 2, 1129--1166 (2019; Zbl 1430.35123) Full Text: DOI arXiv
Le, Vy Khoi On the existence of solutions of variational inequalities in nonreflexive Banach spaces. (English) Zbl 1482.47112 Banach J. Math. Anal. 13, No. 2, 293-313 (2019). MSC: 47J20 46B10 35J87 58E35 PDFBibTeX XMLCite \textit{V. K. Le}, Banach J. Math. Anal. 13, No. 2, 293--313 (2019; Zbl 1482.47112) Full Text: DOI Euclid
Sabiki, H.; Rhoudaf, M.; Elarabi, R. Existence results for a non-linear obstacle parabolic semicoercive problems with lower order term. (English) Zbl 1405.35101 Complex Var. Elliptic Equ. 64, No. 1, 143-170 (2019). MSC: 35K86 PDFBibTeX XMLCite \textit{H. Sabiki} et al., Complex Var. Elliptic Equ. 64, No. 1, 143--170 (2019; Zbl 1405.35101) Full Text: DOI
Moussa, H.; Rhoudaf, M.; Sabiki, H. Existence results for diffusion-convection equations of nonlinear unilateral problems defined in Orlicz-Sobolev spaces. (English) Zbl 1404.35196 Asian-Eur. J. Math. 11, No. 6, Article ID 1850079, 22 p. (2018). MSC: 35J87 35A01 PDFBibTeX XMLCite \textit{H. Moussa} et al., Asian-Eur. J. Math. 11, No. 6, Article ID 1850079, 22 p. (2018; Zbl 1404.35196) Full Text: DOI
Elarabi, R.; Rhoudaf, M.; Sabiki, H. Entropy solution for a nonlinear elliptic problem with lower order term in Musielak-Orlicz spaces. (English) Zbl 1403.35102 Ric. Mat. 67, No. 2, 549-579 (2018). MSC: 35J60 35J25 PDFBibTeX XMLCite \textit{R. Elarabi} et al., Ric. Mat. 67, No. 2, 549--579 (2018; Zbl 1403.35102) Full Text: DOI
Chlebicka, Iwona; Gwiazda, Piotr; Zatorska-Goldstein, Anna Well-posedness of parabolic equations in the non-reflexive and anisotropic Musielak-Orlicz spaces in the class of renormalized solutions. (English) Zbl 1397.35126 J. Differ. Equations 265, No. 11, 5716-5766 (2018). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K55 35A01 PDFBibTeX XMLCite \textit{I. Chlebicka} et al., J. Differ. Equations 265, No. 11, 5716--5766 (2018; Zbl 1397.35126) Full Text: DOI arXiv
Ahmida, Youssef; Chlebicka, Iwona; Gwiazda, Piotr; Youssfi, Ahmed Gossez’s approximation theorems in Musielak-Orlicz-Sobolev spaces. (English) Zbl 1405.42042 J. Funct. Anal. 275, No. 9, 2538-2571 (2018). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B35 26B35 PDFBibTeX XMLCite \textit{Y. Ahmida} et al., J. Funct. Anal. 275, No. 9, 2538--2571 (2018; Zbl 1405.42042) Full Text: DOI arXiv
Chlebicka, Iwona A pocket guide to nonlinear differential equations in Musielak-Orlicz spaces. (English) Zbl 1395.35070 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 175, 1-27 (2018). MSC: 35D30 46E30 35J60 35K55 35A01 PDFBibTeX XMLCite \textit{I. Chlebicka}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 175, 1--27 (2018; Zbl 1395.35070) Full Text: DOI arXiv
Moussa, H.; Ortegón Gallego, F.; Rhoudaf, M. Capacity solution to a coupled system of parabolic-elliptic equations in Orlicz-Sobolev spaces. (English) Zbl 1391.35233 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 2, Paper No. 14, 37 p. (2018). MSC: 35K60 35D30 35J70 46E30 PDFBibTeX XMLCite \textit{H. Moussa} et al., NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 2, Paper No. 14, 37 p. (2018; Zbl 1391.35233) Full Text: DOI
Matejczyk, Bartłomiej; Wróblewska-Kamińska, Aneta Unsteady flows of heat-conducting non-Newtonian fluids in Musielak-Orlicz spaces. (English) Zbl 1388.35158 Nonlinearity 31, No. 3, 701-727 (2018). MSC: 35Q35 46E30 76A05 35D30 35B40 PDFBibTeX XMLCite \textit{B. Matejczyk} and \textit{A. Wróblewska-Kamińska}, Nonlinearity 31, No. 3, 701--727 (2018; Zbl 1388.35158) Full Text: DOI arXiv
Gwiazda, Piotr; Skrzypczak, Iwona; Zatorska-Goldstein, Anna Existence of renormalized solutions to elliptic equation in Musielak-Orlicz space. (English) Zbl 1376.35046 J. Differ. Equations 264, No. 1, 341-377 (2018). MSC: 35J60 35D30 PDFBibTeX XMLCite \textit{P. Gwiazda} et al., J. Differ. Equations 264, No. 1, 341--377 (2018; Zbl 1376.35046) Full Text: DOI arXiv
Benkirane, Abdelmoujib; El Hadfi, Youssef; El Moumni, Mostafa Renormalized solutions for nonlinear parabolic problems with \(L^1\)-data in Orlicz-Sobolev spaces. (English) Zbl 1424.35212 Bol. Soc. Parana. Mat. (3) 35, No. 1, 57-84 (2017). MSC: 35K55 46E35 PDFBibTeX XMLCite \textit{A. Benkirane} et al., Bol. Soc. Parana. Mat. (3) 35, No. 1, 57--84 (2017; Zbl 1424.35212) Full Text: Link
Kozarzewski, P. A.; Zappale, E. A note on optimal design for thin structures in the Orlicz-Sobolev setting. (English) Zbl 1441.35228 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25–29, 2016. Basel: Birkhäuser/Springer. 161-171 (2017). MSC: 35Q74 74G65 PDFBibTeX XMLCite \textit{P. A. Kozarzewski} and \textit{E. Zappale}, in: Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25--29, 2016. Basel: Birkhäuser/Springer. 161--171 (2017; Zbl 1441.35228) Full Text: DOI
Kozarzewski, Piotr Antoni; Zappale, Elvira Orlicz equi-integrability for scaled gradients. (English) Zbl 1387.74016 J. Elliptic Parabol. Equ. 3, No. 1-2, 1-13 (2017). MSC: 74B20 74K35 74K15 49J45 PDFBibTeX XMLCite \textit{P. A. Kozarzewski} and \textit{E. Zappale}, J. Elliptic Parabol. Equ. 3, No. 1--2, 1--13 (2017; Zbl 1387.74016) Full Text: DOI Link
Mukminov, Farit Kh. Uniqueness of the renormalized solution of an elliptic-parabolic problem in anisotropic Sobolev-Orlicz spaces. (English. Russian original) Zbl 1386.35187 Sb. Math. 208, No. 8, 1187-1206 (2017); translation from Mat. Sb. 208, No. 8, 106-125 (2017). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K55 35A01 35B05 35B40 35K20 PDFBibTeX XMLCite \textit{F. Kh. Mukminov}, Sb. Math. 208, No. 8, 1187--1206 (2017; Zbl 1386.35187); translation from Mat. Sb. 208, No. 8, 106--125 (2017) Full Text: DOI
Moussa, H.; Rhoudaf, M. Existence of renormalized solution of nonlinear elliptic problems with lower order term in Orlicz spaces. (English) Zbl 1379.35121 Ric. Mat. 66, No. 2, 591-617 (2017). MSC: 35J60 PDFBibTeX XMLCite \textit{H. Moussa} and \textit{M. Rhoudaf}, Ric. Mat. 66, No. 2, 591--617 (2017; Zbl 1379.35121) Full Text: DOI
Mabdaoui, Mohamed; Moussa, H.; Rhoudaf, Mohamed Entropy solutions for a nonlinear parabolic problems with lower order term in Orlicz spaces. (English) Zbl 1365.35063 Anal. Math. Phys. 7, No. 1, 47-76 (2017). MSC: 35K55 46E30 35K20 35D30 35A01 PDFBibTeX XMLCite \textit{M. Mabdaoui} et al., Anal. Math. Phys. 7, No. 1, 47--76 (2017; Zbl 1365.35063) Full Text: DOI
Moussa, H.; Rhoudaf, M. Study of some non-linear elliptic problems with no continuous lower order terms in Orlicz spaces. (English) Zbl 1355.35072 Mediterr. J. Math. 13, No. 6, 4867-4899 (2016). MSC: 35J60 35A01 PDFBibTeX XMLCite \textit{H. Moussa} and \textit{M. Rhoudaf}, Mediterr. J. Math. 13, No. 6, 4867--4899 (2016; Zbl 1355.35072) Full Text: DOI
Afraites, Lekbir; Atlas, Abdelghafour; Karami, Fahd; Meskine, Driss Some class of parabolic systems applied to image processing. (English) Zbl 1352.35214 Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1671-1687 (2016). MSC: 35Q94 94A08 35K57 PDFBibTeX XMLCite \textit{L. Afraites} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1671--1687 (2016; Zbl 1352.35214) Full Text: DOI
Oubeid, M. L. Ahmed; Benkirane, A.; Sidi El Vally, M. Strongly nonlinear parabolic problems in Musielak-Orlicz-Sobolev spaces. (English) Zbl 1412.46046 Bol. Soc. Parana. Mat. (3) 33, No. 1, 193-225 (2015). MSC: 46E35 35K15 35K20 35K60 PDFBibTeX XMLCite \textit{M. L. A. Oubeid} et al., Bol. Soc. Parana. Mat. (3) 33, No. 1, 193--225 (2015; Zbl 1412.46046) Full Text: Link
Akdim, Y.; Bennouna, J.; Mekkour, M.; Redwane, H. Strongly nonlinear parabolic inequality in Orlicz spaces via a sequence of penalized equations. (English) Zbl 1334.35164 Afr. Mat. 26, No. 7-8, 1669-1695 (2015). Reviewer: Dian K. Palagachev (Bari) MSC: 35K86 PDFBibTeX XMLCite \textit{Y. Akdim} et al., Afr. Mat. 26, No. 7--8, 1669--1695 (2015; Zbl 1334.35164) Full Text: DOI
Gwiazda, P.; Wittbold, P.; Wróblewska-Kamińska, A.; Zimmermann, A. Renormalized solutions to nonlinear parabolic problems in generalized Musielak-Orlicz spaces. (English) Zbl 1331.35173 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 1-36 (2015). Reviewer: Lubomira Softova (Aversa) MSC: 35K55 46E30 PDFBibTeX XMLCite \textit{P. Gwiazda} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 1--36 (2015; Zbl 1331.35173) Full Text: DOI
Dong, Ge; Fang, Xiaochun Existence results for some nonlinear elliptic equations with measure data in Orlicz-Sobolev spaces. (English) Zbl 1515.35294 Bound. Value Probl. 2015, Paper No. 18, 22 p. (2015); erratum ibid. 2017, Paper No. 101, 1 p. (2017). MSC: 35R06 35J25 35J62 46E30 PDFBibTeX XMLCite \textit{G. Dong} and \textit{X. Fang}, Bound. Value Probl. 2015, Paper No. 18, 22 p. (2015; Zbl 1515.35294) Full Text: DOI
Hadj Nassar, S.; Moussa, H.; Rhoudaf, M. Renormalized solution for a nonlinear parabolic problems with noncoercivity in divergence form in Orlicz spaces. (English) Zbl 1338.35257 Appl. Math. Comput. 249, 253-264 (2014). MSC: 35K61 35K55 PDFBibTeX XMLCite \textit{S. Hadj Nassar} et al., Appl. Math. Comput. 249, 253--264 (2014; Zbl 1338.35257) Full Text: DOI
Azroul, Elhoussine; El Lekhlifi, Meryem; Lahmi, Badr; Touzani, Abdelfattah On a necessary condition in the calculus of variations in Sobolev spaces with variable exponent. (English) Zbl 1320.46025 Appl. Math. 41, No. 2-3, 165-174 (2014). MSC: 46E35 49K21 91G80 PDFBibTeX XMLCite \textit{E. Azroul} et al., Appl. Math. 41, No. 2--3, 165--174 (2014; Zbl 1320.46025) Full Text: DOI
Nnang, Hubert Deterministic homogenization of nonlinear degenerate elliptic operators with nonstandard growth. (English) Zbl 1304.35067 Acta Math. Sin., Engl. Ser. 30, No. 9, 1621-1654 (2014). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35J70 35J60 PDFBibTeX XMLCite \textit{H. Nnang}, Acta Math. Sin., Engl. Ser. 30, No. 9, 1621--1654 (2014; Zbl 1304.35067) Full Text: DOI
Świerczewska-Gwiazda, Agnieszka Nonlinear parabolic problems in Musielak-Orlicz spaces. (English) Zbl 1286.35070 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 98, 48-65 (2014). MSC: 35D30 35K55 46E30 47H05 35R70 PDFBibTeX XMLCite \textit{A. Świerczewska-Gwiazda}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 98, 48--65 (2014; Zbl 1286.35070) Full Text: DOI arXiv
Bogning, Rodrigue Kenne; Nnang, Hubert Periodic homogenization of parabolic nonstandard monotone operators. (English) Zbl 1270.35056 Acta Appl. Math. 125, No. 1, 209-229 (2013). MSC: 35B27 35B40 46E30 74G25 35K59 35K20 PDFBibTeX XMLCite \textit{R. K. Bogning} and \textit{H. Nnang}, Acta Appl. Math. 125, No. 1, 209--229 (2013; Zbl 1270.35056) Full Text: DOI
Kałamajska, Agnieszka; Krbec, Miroslav Traces of Orlicz-Sobolev functions under general growth restrictions. (English) Zbl 1276.46026 Math. Nachr. 286, No. 7, 730-742 (2013). Reviewer: Julian Musielak (Poznań) MSC: 46E35 26D10 PDFBibTeX XMLCite \textit{A. Kałamajska} and \textit{M. Krbec}, Math. Nachr. 286, No. 7, 730--742 (2013; Zbl 1276.46026) Full Text: DOI
Gwiazda, Piotr; Minakowski, Piotr; Wróblewska-Kamińska, Aneta Elliptic problems in generalized Orlicz-Musielak spaces. (English) Zbl 1268.35056 Cent. Eur. J. Math. 10, No. 6, 2019-2032 (2012). MSC: 35J60 46E30 35D30 35J25 PDFBibTeX XMLCite \textit{P. Gwiazda} et al., Cent. Eur. J. Math. 10, No. 6, 2019--2032 (2012; Zbl 1268.35056) Full Text: DOI
Alaoui, Mohammed Kbiri On elliptic equations in Orlicz spaces involving natural growth term and measure data. (English) Zbl 1259.35086 Abstr. Appl. Anal. 2012, Article ID 615816, 17 p. (2012). MSC: 35J30 PDFBibTeX XMLCite \textit{M. K. Alaoui}, Abstr. Appl. Anal. 2012, Article ID 615816, 17 p. (2012; Zbl 1259.35086) Full Text: DOI
Tachago, Joel Fotso; Nnang, Hubert Two-scale convergence of integral functionals with convex, periodic and nonstandard growth integrands. (English) Zbl 1258.35018 Acta Appl. Math. 121, No. 1, 175-196 (2012). MSC: 35B27 35B40 PDFBibTeX XMLCite \textit{J. F. Tachago} and \textit{H. Nnang}, Acta Appl. Math. 121, No. 1, 175--196 (2012; Zbl 1258.35018) Full Text: DOI
Gwiazda, Piotr; Wittbold, Petra; Wróblewska, Aneta; Zimmermann, Aleksandra Renormalized solutions of nonlinear elliptic problems in generalized Orlicz spaces. (English) Zbl 1245.35039 J. Differ. Equations 253, No. 2, 635-666 (2012). MSC: 35J60 35D30 34A60 PDFBibTeX XMLCite \textit{P. Gwiazda} et al., J. Differ. Equations 253, No. 2, 635--666 (2012; Zbl 1245.35039) Full Text: DOI
Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka Parabolic equations in anisotropic Orlicz spaces with general \(\mathcal N\)-functions. (English) Zbl 1250.35122 Escher, Joachim (ed.) et al., Parabolic problems. The Herbert Amann Festschrift. Based on the conference on nonlinear parabolic problems held in celebration of Herbert Amann’s 70th birthday at the Banach Center in Bȩdlewo, Poland, May 10–16, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0074-7/hbk; 978-3-0348-0075-4/ebook). Progress in Nonlinear Differential Equations and Their Applications 80, 301-311 (2011). MSC: 35K55 35K20 46E30 PDFBibTeX XMLCite \textit{P. Gwiazda} and \textit{A. Świerczewska-Gwiazda}, Prog. Nonlinear Differ. Equ. Appl. 80, 301--311 (2011; Zbl 1250.35122) Full Text: DOI
Kbiri Alaoui, M.; Meskine, D.; Souissi, A. On some class of nonlinear parabolic inequalities in Orlicz spaces. (English) Zbl 1227.35181 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 5863-5875 (2011). MSC: 35K86 35K59 35K20 PDFBibTeX XMLCite \textit{M. Kbiri Alaoui} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 5863--5875 (2011; Zbl 1227.35181) Full Text: DOI
Bendahmane, Mostafa; Chrif, Moussa; El Manouni, Said An approximation result in generalized anisotropic Sobolev spaces and applications. (English) Zbl 1231.35065 Z. Anal. Anwend. 30, No. 3, 341-353 (2011). Reviewer: Mohammed Bouchekif (Tlemcen) MSC: 35J60 35J70 PDFBibTeX XMLCite \textit{M. Bendahmane} et al., Z. Anal. Anwend. 30, No. 3, 341--353 (2011; Zbl 1231.35065) Full Text: DOI
Aharouch, L.; Bennouna, J. Existence and uniqueness of solutions of unilateral problems in Orlicz spaces. (English) Zbl 1185.35111 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 9-10, 3553-3565 (2010). MSC: 35J87 35J20 35J70 PDFBibTeX XMLCite \textit{L. Aharouch} and \textit{J. Bennouna}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 9--10, 3553--3565 (2010; Zbl 1185.35111) Full Text: DOI
Aboulaich, R.; Meskine, D.; Souissi, A. New diffusion models in image processing. (English) Zbl 1155.35389 Comput. Math. Appl. 56, No. 4, 874-882 (2008). MSC: 35K57 94A08 68U10 35D05 PDFBibTeX XMLCite \textit{R. Aboulaich} et al., Comput. Math. Appl. 56, No. 4, 874--882 (2008; Zbl 1155.35389) Full Text: DOI
Chen, Shutao; He, Xin; Hudzik, Henryk; Kamińska, Anna Monotonicity and best approximation in Orlicz–Sobolev spaces with the Luxemburg norm. (English) Zbl 1153.46014 J. Math. Anal. Appl. 344, No. 2, 687-698 (2008). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 46B42 41A50 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Math. Anal. Appl. 344, No. 2, 687--698 (2008; Zbl 1153.46014) Full Text: DOI
Benkirane, A.; Chrif, M.; El Manouni, S. Existence results for strongly nonlinear elliptic equations of infinite order. (English) Zbl 1138.35093 Z. Anal. Anwend. 26, No. 3, 303-312 (2007). Reviewer: José Bonet (Valencia) MSC: 35R50 35J60 35J65 35D05 46E35 PDFBibTeX XMLCite \textit{A. Benkirane} et al., Z. Anal. Anwend. 26, No. 3, 303--312 (2007; Zbl 1138.35093) Full Text: DOI
Elmahi, A.; Meskine, D. Elliptic inequalities with lower order terms and \(L^{1}\) data in Orlicz spaces. (English) Zbl 1187.35113 J. Math. Anal. Appl. 328, No. 2, 1417-1434 (2007). MSC: 35J87 35D30 PDFBibTeX XMLCite \textit{A. Elmahi} and \textit{D. Meskine}, J. Math. Anal. Appl. 328, No. 2, 1417--1434 (2007; Zbl 1187.35113) Full Text: DOI
Aboulaich, R.; Achchab, B.; Meskine, D.; Souissi, A. Parabolic inequalities with nonstandard growths and \(L^{1}\) data. (English) Zbl 1146.35422 Bound. Value Probl. 2006, Article ID 29286, 18 p. (2006). MSC: 35R45 35K55 35D05 PDFBibTeX XMLCite \textit{R. Aboulaich} et al., Bound. Value Probl. 2006, Article ID 29286, 18 p. (2006; Zbl 1146.35422) Full Text: DOI EuDML
Elmahi, A.; Meskine, D. Strongly nonlinear parabolic equations with natural growth terms in Orlicz spaces. (English) Zbl 1082.35085 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 1, 1-35 (2005). Reviewer: Vesa Mustonen (Oulu) MSC: 35K60 PDFBibTeX XMLCite \textit{A. Elmahi} and \textit{D. Meskine}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 1, 1--35 (2005; Zbl 1082.35085) Full Text: DOI
Azroul, E.; Benkirane, A. On a necessary condition in the calculus of variations in Orlicz-Sobolev spaces. (English) Zbl 0992.46025 Math. Slovaca 51, No. 1, 93-105 (2001). MSC: 46E35 49J45 PDFBibTeX XMLCite \textit{E. Azroul} and \textit{A. Benkirane}, Math. Slovaca 51, No. 1, 93--105 (2001; Zbl 0992.46025) Full Text: EuDML
Tienari, Matti Ljusternik-Schnirelmann theorem for the generalized Laplacian. (English) Zbl 0946.35057 J. Differ. Equations 161, No. 1, 174-190 (2000). Reviewer: Youssef Jabri (Oujda) MSC: 35P30 35J65 47J10 46E35 PDFBibTeX XMLCite \textit{M. Tienari}, J. Differ. Equations 161, No. 1, 174--190 (2000; Zbl 0946.35057)
Benkirane, A.; Elmahi, A. An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces. (English) Zbl 0920.35057 Nonlinear Anal., Theory Methods Appl. 36, No. 1, A, 11-24 (1999). Reviewer: P.Quittner (Bratislava) MSC: 35J65 35A35 PDFBibTeX XMLCite \textit{A. Benkirane} and \textit{A. Elmahi}, Nonlinear Anal., Theory Methods Appl. 36, No. 1, 11--24 (1999; Zbl 0920.35057) Full Text: DOI
Benkirane, A.; Elmahi, A. Almost everywhere convergence of the gradients of solutions to elliptic equations in Orlicz spaces and application. (English) Zbl 0872.35033 Nonlinear Anal., Theory Methods Appl. 28, No. 11, 1769-1784 (1997). Reviewer: S.Tersian (Russe) MSC: 35J60 35A35 PDFBibTeX XMLCite \textit{A. Benkirane} and \textit{A. Elmahi}, Nonlinear Anal., Theory Methods Appl. 28, No. 11, 1769--1784 (1997; Zbl 0872.35033) Full Text: DOI
Benkirane, A. Approximations de type Hedberg dans les espaces \(W^ mL\,\log \,L(\Omega)\) et applications. (Approximations of Hedberg type in the spaces \(W^ mL\,\log \,L(\Omega)\) and applications). (French) Zbl 0731.46016 Ann. Fac. Sci. Toulouse, V. Sér., Math. 11, No. 2, 67-78 (1990). MSC: 46E35 46F10 35J65 PDFBibTeX XMLCite \textit{A. Benkirane}, Ann. Fac. Sci. Toulouse, Math. (5) 11, No. 2, 67--78 (1990; Zbl 0731.46016) Full Text: DOI Numdam EuDML
Klimov, V. S.; Semko, E. R. Density of finite functions in Orlicz-Sobolev spaces. (English. Russian original) Zbl 0656.46022 Sib. Math. J. 29, No. 1, 39-45 (1988); translation from Sib. Mat. Zh. 29, No. 1(167), 50-57 (1988). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{V. S. Klimov} and \textit{E. R. Semko}, Sib. Math. J. 29, No. 1, 39--45 (1988; Zbl 0656.46022); translation from Sib. Mat. Zh. 29, No. 1(167), 50--57 (1988) Full Text: DOI
Gossez, Jean-Pierre; Mustonen, Vesa Variational inequalities in Orlicz-Sobolev spaces. (English) Zbl 0643.49006 Nonlinear Anal., Theory Methods Appl. 11, 379-392 (1987). Reviewer: Haïm Brézis (Paris) MSC: 35J87 49J40 46E35 47H05 PDFBibTeX XMLCite \textit{J.-P. Gossez} and \textit{V. Mustonen}, Nonlinear Anal., Theory Methods Appl. 11, 379--392 (1987; Zbl 0643.49006) Full Text: DOI