Mihula, Zdeněk Embeddings of homogeneous Sobolev spaces on the entire space. (English) Zbl 07316401 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 296-328 (2021). MSC: 46E30 26D10 46E35 47B38 PDF BibTeX XML Cite \textit{Z. Mihula}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 296--328 (2021; Zbl 07316401) 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 PDF BibTeX XML Cite \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
Stancu-Dumitru, Denisa Anisotropic torsional creep problems involving rapidly growing differential operators. (English) Zbl 07155439 Nonlinear Anal., Real World Appl. 51, Article ID 103003, 18 p. (2020). MSC: 47 35 PDF BibTeX XML Cite \textit{D. Stancu-Dumitru}, Nonlinear Anal., Real World Appl. 51, Article ID 103003, 18 p. (2020; Zbl 07155439) Full Text: DOI
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). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J60 35J25 46E30 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{I. Chlebicka} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1431--1465 (2019; Zbl 1419.35092) Full Text: DOI
Alves, Claudianor O.; Silva, Edcarlos D.; Pimenta, Marcos T. O. Existence of solution for a class of quasilinear elliptic problem without \(\Delta_2\)-condition. (English) Zbl 1421.35126 Anal. Appl., Singap. 17, No. 4, 665-688 (2019). MSC: 35J62 35A15 46E30 PDF BibTeX XML Cite \textit{C. O. Alves} et al., Anal. Appl., Singap. 17, No. 4, 665--688 (2019; Zbl 1421.35126) Full Text: DOI
Fărcăşeanu, Maria; Mihăilescu, Mihai On a family of torsional creep problems involving rapidly growing operators in divergence form. (English) Zbl 1426.35130 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 2, 495-510 (2019). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J92 46E30 35J35 PDF BibTeX XML Cite \textit{M. Fărcăşeanu} and \textit{M. Mihăilescu}, Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 2, 495--510 (2019; Zbl 1426.35130) Full Text: DOI
Le, Vy Khoi On the existence of solutions of variational inequalities in nonreflexive Banach spaces. (English) Zbl 07045460 Banach J. Math. Anal. 13, No. 2, 293-313 (2019). MSC: 47J20 46B10 35J87 58E35 PDF BibTeX XML Cite \textit{V. K. Le}, Banach J. Math. Anal. 13, No. 2, 293--313 (2019; Zbl 07045460) Full Text: DOI Euclid
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 PDF BibTeX XML Cite \textit{I. Chlebicka} et al., J. Differ. Equations 265, No. 11, 5716--5766 (2018; Zbl 1397.35126) Full Text: DOI
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 PDF BibTeX XML Cite \textit{I. Chlebicka}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 175, 1--27 (2018; Zbl 1395.35070) Full Text: DOI
Huang, Qingzhong; Li, Ai-Jun A characterization of minimal Orlicz-Sobolev norms in the affine class. (English) Zbl 1392.46035 J. Math. Anal. Appl. 460, No. 2, 703-713 (2018). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{Q. Huang} and \textit{A.-J. Li}, J. Math. Anal. Appl. 460, No. 2, 703--713 (2018; Zbl 1392.46035) Full Text: DOI
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 PDF BibTeX XML Cite \textit{P. Gwiazda} et al., J. Differ. Equations 264, No. 1, 341--377 (2018; Zbl 1376.35046) Full Text: DOI
Yao, Fengping Regularity estimates in weighted Orlicz spaces for Calderón-Zygmund type singular integral operators. (English) Zbl 1408.32005 Forum Math. 29, No. 1, 187-199 (2017). MSC: 32A55 42B20 46E30 PDF BibTeX XML Cite \textit{F. Yao}, Forum Math. 29, No. 1, 187--199 (2017; Zbl 1408.32005) Full Text: DOI
Karimov, Ruslan Khalikovich; Kozhevnikova, Larisa Mikhaĭlovna; Khadzhi, Anna Aleksandrovna Behavior of solutions to elliptic equations with non-power nonlinearities in unbounded domains. (Russian. English summary) Zbl 07277909 Ufim. Mat. Zh. 8, No. 3, 99-112 (2016); translation in Ufa Math. J. 8, No. 3, 95-108 (2016). MSC: 35J62 PDF BibTeX XML Cite \textit{R. K. Karimov} et al., Ufim. Mat. Zh. 8, No. 3, 99--112 (2016; Zbl 07277909); translation in Ufa Math. J. 8, No. 3, 95--108 (2016) Full Text: DOI MNR
Kozhevnikova, L. M.; Nikitina, A. A. Qualitative properties of solutions to elliptic equations with nonpower nonlinearities in \(\mathbb R_n\). (Russian, English) Zbl 1399.35156 Sib. Zh. Chist. Prikl. Mat. 16, No. 2, 26-40 (2016); translation in J. Math. Sci., New York 228, No. 4, 395-408 (2018). MSC: 35J15 46E35 46E30 PDF BibTeX XML Cite \textit{L. M. Kozhevnikova} and \textit{A. A. Nikitina}, Sib. Zh. Chist. Prikl. Mat. 16, No. 2, 26--40 (2016; Zbl 1399.35156); translation in J. Math. Sci., New York 228, No. 4, 395--408 (2018) Full Text: DOI
Yao, Fengping Global weighted estimates in Orlicz spaces for second-order nondivergence parabolic equations. (English) Zbl 1342.35130 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 141, 43-56 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35K10 35K15 PDF BibTeX XML Cite \textit{F. Yao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 141, 43--56 (2016; Zbl 1342.35130) Full Text: DOI
Salimov, Ruslan Radikovich On finite Lipschitz Orlicz-Sobolev classes. (Russian. English summary) Zbl 07256885 Vladikavkaz. Mat. Zh. 17, No. 1, 64-77 (2015). MSC: 05 03 PDF BibTeX XML Cite \textit{R. R. Salimov}, Vladikavkaz. Mat. Zh. 17, No. 1, 64--77 (2015; Zbl 07256885) Full Text: MNR
Cammaroto, F.; Vilasi, L. Multiple solutions for a nonhomogeneous Dirichlet problem in Orlicz-Sobolev spaces. (English) Zbl 1282.35146 Appl. Math. Comput. 218, No. 23, 11518-11527 (2012). MSC: 35J25 35D30 PDF BibTeX XML Cite \textit{F. Cammaroto} and \textit{L. Vilasi}, Appl. Math. Comput. 218, No. 23, 11518--11527 (2012; Zbl 1282.35146) Full Text: DOI
Bonanno, Gabriele; Molica Bisci, Giovanni; Rădulescu, Vicenţiu D. Quasilinear elliptic non-homogeneous Dirichlet problems through Orlicz-Sobolev spaces. (English) Zbl 1246.35138 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 12, 4441-4456 (2012). MSC: 35P05 35D30 46N20 46E30 58E05 PDF BibTeX XML Cite \textit{G. Bonanno} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 12, 4441--4456 (2012; Zbl 1246.35138) Full Text: DOI
Bonanno, Gabriele; Molica Bisci, Giovanni; Rădulescu, Vicenţiu Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces. (English) Zbl 1245.35049 Monatsh. Math. 165, No. 3-4, 305-318 (2012). Reviewer: Pierpaolo Omari (Trieste) MSC: 35J62 35J25 35P30 58E05 PDF BibTeX XML Cite \textit{G. Bonanno} et al., Monatsh. Math. 165, No. 3--4, 305--318 (2012; Zbl 1245.35049) Full Text: DOI
Fan, Xianling Differential equations of divergence form in Musielak-Sobolev spaces and a sub-supersolution method. (English) Zbl 1270.35156 J. Math. Anal. Appl. 386, No. 2, 593-604 (2012). MSC: 35B51 47H05 PDF BibTeX XML Cite \textit{X. Fan}, J. Math. Anal. Appl. 386, No. 2, 593--604 (2012; Zbl 1270.35156) Full Text: DOI
Bonanno, Gabriele; Molica Bisci, Giovanni; Rădulescu, Vicenţiu Existence of three solutions for a non-homogeneous Neumann problem through Orlicz-Sobolev spaces. (English) Zbl 1220.35043 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 14, 4785-4795 (2011). MSC: 35J60 58E05 35D30 35J70 46N20 58J05 PDF BibTeX XML Cite \textit{G. Bonanno} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 14, 4785--4795 (2011; Zbl 1220.35043) Full Text: DOI
Mihăilescu, Mihai; Repovš, Dušan Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz-Sobolev spaces. (English) Zbl 1211.35117 Appl. Math. Comput. 217, No. 14, 6624-6632 (2011). MSC: 35J60 35B38 35J20 35D30 PDF BibTeX XML Cite \textit{M. Mihăilescu} and \textit{D. Repovš}, Appl. Math. Comput. 217, No. 14, 6624--6632 (2011; Zbl 1211.35117) Full Text: DOI arXiv
Jamróz, Grzegorz Elliptic equations, multivalued \(x\)-dependent graphs and Orlicz spaces. (English) Zbl 1197.35337 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 8, 2666-2679 (2010). MSC: 35R70 35R02 46E30 35J25 35D30 35A35 PDF BibTeX XML Cite \textit{G. Jamróz}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 8, 2666--2679 (2010; Zbl 1197.35337) Full Text: DOI
Le, Vy Khoi Some existence results and properties of solutions in quasilinear variational inequalities with general growths. (English) Zbl 1203.35098 Differ. Equ. Dyn. Syst. 17, No. 4, 343-364 (2009). MSC: 35J60 35J25 35D30 49Q10 53A10 35J20 PDF BibTeX XML Cite \textit{V. K. Le}, Differ. Equ. Dyn. Syst. 17, No. 4, 343--364 (2009; Zbl 1203.35098) Full Text: DOI
Cianchi, Andrea Orlicz-Sobolev algebras. (English) Zbl 1157.46309 Potential Anal. 28, No. 4, 379-388 (2008). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{A. Cianchi}, Potential Anal. 28, No. 4, 379--388 (2008; Zbl 1157.46309) Full Text: DOI
Dong, Ge; Shi, Zhongrui An existence theorem for weak solutions for a class of elliptic partial differential systems in Orlicz spaces. (English) Zbl 1260.35049 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 1037-1042 (2008). MSC: 35J60 35D30 PDF BibTeX XML Cite \textit{G. Dong} and \textit{Z. Shi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 1037--1042 (2008; Zbl 1260.35049) Full Text: DOI
Le, Vy Khoi Generic existence result for an eigenvalue problem with rapidly growing principal operator. (English) Zbl 1118.35011 ESAIM, Control Optim. Calc. Var. 10, 677-691 (2004). Reviewer: Jiri Benedikt (Plzen) MSC: 35J65 35J20 35J60 58E05 PDF BibTeX XML Cite \textit{V. K. Le}, ESAIM, Control Optim. Calc. Var. 10, 677--691 (2004; Zbl 1118.35011) Full Text: DOI Numdam EuDML
Fan, Xianling; Zhao, Dun A class of De Giorgi type and Hölder continuity. (English) Zbl 0927.46022 Nonlinear Anal., Theory Methods Appl. 36, No. 3, A, 295-318 (1999). Reviewer: L.Skrzypczak (Poznań) MSC: 46E35 49N60 47F05 PDF BibTeX XML Cite \textit{X. Fan} and \textit{D. Zhao}, Nonlinear Anal., Theory Methods Appl. 36, No. 3, 295--318 (1999; Zbl 0927.46022) Full Text: DOI
Marcellini, Paolo Regularity and existence of solutions of elliptic equations with p,q- growth conditions. (English) Zbl 0724.35043 J. Differ. Equations 90, No. 1, 1-30 (1991). Reviewer: M.A.Vivaldi (Roma) MSC: 35J65 35D10 PDF BibTeX XML Cite \textit{P. Marcellini}, J. Differ. Equations 90, No. 1, 1--30 (1991; Zbl 0724.35043) 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 PDF BibTeX XML Cite \textit{J.-P. Gossez} and \textit{V. Mustonen}, Nonlinear Anal., Theory Methods Appl. 11, 379--392 (1987; Zbl 0643.49006) Full Text: DOI
Vuillermot, Pierre A. A class of Sturm-Liouville eigenvalue problems with polynomial and exponential nonlinearities. (English) Zbl 0537.34020 Nonlinear Anal., Theory Methods Appl. 8, 775-796 (1984). MSC: 34L99 34B15 49R50 PDF BibTeX XML Cite \textit{P. A. Vuillermot}, Nonlinear Anal., Theory Methods Appl. 8, 775--796 (1984; Zbl 0537.34020) Full Text: DOI
Vuillermot, Pierre A. A class of elliptic partial differential equations with exponential nonlinearities. (English) Zbl 0526.35012 Math. Ann. 268, 497-518 (1984). MSC: 35B32 35B30 35J65 46E35 57R70 PDF BibTeX XML Cite \textit{P. A. Vuillermot}, Math. Ann. 268, 497--518 (1984; Zbl 0526.35012) Full Text: DOI EuDML
Soltanov, K. N. Solvability of some parabolic problems with nonlinearities, growing faster than a power. (English. Russian original) Zbl 0551.35043 Math. Notes 31, 459-466 (1982); translation from Mat. Zametki 31, 909-923 (1982). Reviewer: H.Jeggle MSC: 35K60 35A05 PDF BibTeX XML Cite \textit{K. N. Soltanov}, Math. Notes 31, 459--466 (1982; Zbl 0551.35043); translation from Mat. Zametki 31, 909--923 (1982) Full Text: DOI
Palmieri, Giuliana Sui problemi ellittici non lineari con coefficienti crescenti ”rapidamente” o ”lentamente”. (Italian) Zbl 0454.35036 Ann. Mat. Pura Appl., IV. Ser. 126, 117-147 (1980). MSC: 35J60 35J20 PDF BibTeX XML Cite \textit{G. Palmieri}, Ann. Mat. Pura Appl. (4) 126, 117--147 (1980; Zbl 0454.35036) Full Text: DOI
Talenti, Giorgio Nonlinear elliptic equations, rearrangements of functions and Orlicz spaces. (English) Zbl 0419.35041 Ann. Mat. Pura Appl., IV. Ser. 120, 159-184 (1979). MSC: 35J65 46E30 35B45 PDF BibTeX XML Cite \textit{G. Talenti}, Ann. Mat. Pura Appl. (4) 120, 159--184 (1979; Zbl 0419.35041) Full Text: DOI
Lacroix, Marie-Therese Étude des conditions au bord pour des problèmes elliptiques fortement non linéaires. (French) Zbl 0349.35034 Ann. Mat. Pura Appl., IV. Ser. 109, 203-220 (1976). MSC: 35J60 35J67 35D05 35B45 PDF BibTeX XML Cite \textit{M.-T. Lacroix}, Ann. Mat. Pura Appl. (4) 109, 203--220 (1976; Zbl 0349.35034) Full Text: DOI
Nishihara, Kenji Initial-boundary value problems of some non-linear evolution equations in Orlicz-Sobolev spaces. (English) Zbl 0335.35058 Proc. Japan Acad. 50, 462-467 (1974). MSC: 35K55 35D05 35B45 PDF BibTeX XML Cite \textit{K. Nishihara}, Proc. Japan Acad. 50, 462--467 (1974; Zbl 0335.35058) Full Text: DOI
Donaldson, Thomas Inhomogeneous Orlicz-Sobolev spaces and nonlinear parabolic initial value problems. (English) Zbl 0286.35047 J. Differ. Equations 16, 201-256 (1974). MSC: 35K55 46E30 47J05 35G20 PDF BibTeX XML Cite \textit{T. Donaldson}, J. Differ. Equations 16, 201--256 (1974; Zbl 0286.35047) Full Text: DOI