Gao, Hongya; Zhang, Aiping; Gao, Siyu An extension of De Giorgi class and applications. (English) Zbl 07797700 J. Funct. Anal. 286, No. 6, Article ID 110301, 48 p. (2024). MSC: 35J20 35J25 35J47 PDFBibTeX XMLCite \textit{H. Gao} et al., J. Funct. Anal. 286, No. 6, Article ID 110301, 48 p. (2024; Zbl 07797700) Full Text: DOI arXiv
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira Local boundedness of weak solutions to elliptic equations with \(p, q\)-growth. (English) Zbl 07817700 Math. Eng. (Springfield) 5, No. 3, Paper No. 65, 28 p. (2023). MSC: 35-XX 34-XX PDFBibTeX XMLCite \textit{G. Cupini} et al., Math. Eng. (Springfield) 5, No. 3, Paper No. 65, 28 p. (2023; Zbl 07817700) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Juusti, Jonne Bloch estimates in non-doubling generalized Orlicz spaces. (English) Zbl 07817687 Math. Eng. (Springfield) 5, No. 3, Paper No. 52, 21 p. (2023). MSC: 49-XX 34-XX PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Math. Eng. (Springfield) 5, No. 3, Paper No. 52, 21 p. (2023; Zbl 07817687) Full Text: DOI arXiv
De Filippis, Filomena; Leonetti, Francesco; Marcellini, Paolo; Mascolo, Elvira The Sobolev class where a weak solution is a local minimizer. (English) Zbl 07799897 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 2, 451-463 (2023). MSC: 35J60 35A15 PDFBibTeX XMLCite \textit{F. De Filippis} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 2, 451--463 (2023; Zbl 07799897) Full Text: DOI
De Filippis, Cristiana; Mingione, Giuseppe Interpolative gap bounds for nonautonomous integrals. Previously published in the journal Analysis and Mathematical Physics, Special issue: Harmonic analysis and partial differential equations 10, No. 4 (2020), 11, No. 1–4 (2021) and 12, No. 2 (2022). (English) Zbl 07767913 Golberg, Anatoly (ed.) et al., Harmonic analysis and partial differential equations. In honor of Vladimir Maz’ya. Selected papers based on the presentations at the international conference, Holon, Israel, May 26–31, 2019. Cham: Birkhäuser. 67-105 (2023). MSC: 35J60 35A15 35B65 PDFBibTeX XMLCite \textit{C. De Filippis} and \textit{G. Mingione}, in: Harmonic analysis and partial differential equations. In honor of Vladimir Maz'ya. Selected papers based on the presentations at the international conference, Holon, Israel, May 26--31, 2019. Cham: Birkhäuser. 67--105 (2023; Zbl 07767913) Full Text: DOI
Ciani, Simone; Guarnotta, Umberto Liouville rigidity and time-extrinsic Harnack estimates for an anisotropic slow diffusion. (English) Zbl 1523.35085 Proc. Am. Math. Soc. 151, No. 10, 4371-4388 (2023). Reviewer: Fatma Gamze Duzgun (Ankara) MSC: 35B53 35B65 35K65 35K92 PDFBibTeX XMLCite \textit{S. Ciani} and \textit{U. Guarnotta}, Proc. Am. Math. Soc. 151, No. 10, 4371--4388 (2023; Zbl 1523.35085) Full Text: DOI arXiv
Ambrosio, Vincenzo The nonlinear \((p,q)\)-Schrödinger equation with a general nonlinearity: existence and concentration. (English. French summary) Zbl 1522.35028 J. Math. Pures Appl. (9) 178, 141-184 (2023). MSC: 35B25 35J20 35J92 PDFBibTeX XMLCite \textit{V. Ambrosio}, J. Math. Pures Appl. (9) 178, 141--184 (2023; Zbl 1522.35028) Full Text: DOI
Ambrosio, Vincenzo; Essebei, Fares Multiple solutions for double phase problems in \(\mathbb{R}^n\) via Ricceri’s principle. (English) Zbl 1525.35147 J. Math. Anal. Appl. 528, No. 1, Article ID 127513, 22 p. (2023). Reviewer: Said El Manouni (Riyadh) MSC: 35J92 35A01 PDFBibTeX XMLCite \textit{V. Ambrosio} and \textit{F. Essebei}, J. Math. Anal. Appl. 528, No. 1, Article ID 127513, 22 p. (2023; Zbl 1525.35147) Full Text: DOI
Ciani, Simone; Mosconi, Sunra; Vespri, Vincenzo Parabolic Harnack estimates for anisotropic slow diffusion. (English) Zbl 1518.35469 J. Anal. Math. 149, No. 2, 611-642 (2023). MSC: 35K92 35C06 35B45 35Q84 PDFBibTeX XMLCite \textit{S. Ciani} et al., J. Anal. Math. 149, No. 2, 611--642 (2023; Zbl 1518.35469) Full Text: DOI arXiv
Zhang, Junli; Li, Zhouyu Weak differentiability to nonuniform nonlinear degenerate elliptic systems under \(p\), \(q\)-growth condition on the Heisenberg group. (English) Zbl 1514.35168 J. Math. Anal. Appl. 525, No. 2, Article ID 127246, 42 p. (2023). MSC: 35J47 35J62 35J70 35R03 35B65 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Z. Li}, J. Math. Anal. Appl. 525, No. 2, Article ID 127246, 42 p. (2023; Zbl 1514.35168) Full Text: DOI arXiv
Alfano, Emilia Anna; Fattorusso, Luisa; Softova, Lubomira Boundedness of the solutions of a kind of nonlinear parabolic systems. (English) Zbl 1512.35124 J. Differ. Equations 360, 51-66 (2023). Reviewer: Dian K. Palagachev (Bari) MSC: 35B45 35B50 35K40 35K59 PDFBibTeX XMLCite \textit{E. A. Alfano} et al., J. Differ. Equations 360, 51--66 (2023; Zbl 1512.35124) Full Text: DOI arXiv
Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira; Passarelli di Napoli, Antonia Lipschitz regularity for degenerate elliptic integrals with \(p, q\)-growth. (English) Zbl 1511.49001 Adv. Calc. Var. 16, No. 2, 443-465 (2023). Reviewer: Savin Treanta (Bucureşti) MSC: 49J10 35J50 49K20 PDFBibTeX XMLCite \textit{G. Cupini} et al., Adv. Calc. Var. 16, No. 2, 443--465 (2023; Zbl 1511.49001) Full Text: DOI arXiv
Prasad, Harsh; Tewary, Vivek Existence of variational solutions to nonlocal evolution equations via convex minimization. (English) Zbl 1509.35132 ESAIM, Control Optim. Calc. Var. 29, Paper No. 2, 35 p. (2023). MSC: 35K51 35A01 35A15 35R09 35R11 PDFBibTeX XMLCite \textit{H. Prasad} and \textit{V. Tewary}, ESAIM, Control Optim. Calc. Var. 29, Paper No. 2, 35 p. (2023; Zbl 1509.35132) Full Text: DOI arXiv
Prasad, Harsh; Tewary, Vivek Local boundedness of variational solutions to nonlocal double phase parabolic equations. (English) Zbl 1509.35081 J. Differ. Equations 351, 243-276 (2023). MSC: 35B45 35A15 35K51 35R09 35R11 PDFBibTeX XMLCite \textit{H. Prasad} and \textit{V. Tewary}, J. Differ. Equations 351, 243--276 (2023; Zbl 1509.35081) Full Text: DOI arXiv
Marcellini, P Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence. (English) Zbl 1501.35188 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 226, Article ID 113066, 26 p. (2023). MSC: 35J60 35B65 35A15 PDFBibTeX XMLCite \textit{P Marcellini}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 226, Article ID 113066, 26 p. (2023; Zbl 1501.35188) Full Text: DOI
On the local behavior of local weak solutions to some singular anisotropic elliptic equations. (English) Zbl 1498.35291 Adv. Nonlinear Anal. 12, 237-265 (2023). MSC: 35J75 35K92 35B65 PDFBibTeX XMLCite Adv. Nonlinear Anal. 12, 237--265 (2023; Zbl 1498.35291) Full Text: DOI
Gentile, Andrea; Giova, Raffaella; Torricelli, Andrea Regularity results for bounded solutions to obstacle problems with non-standard growth conditions. (English) Zbl 1511.35185 Mediterr. J. Math. 19, No. 6, Paper No. 270, 29 p. (2022). MSC: 35J87 35J65 PDFBibTeX XMLCite \textit{A. Gentile} et al., Mediterr. J. Math. 19, No. 6, Paper No. 270, 29 p. (2022; Zbl 1511.35185) Full Text: DOI arXiv
Ghosh, Suchandan; Kumar, Dharmendra; Prasad, Harsh; Tewary, Vivek Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements. (English) Zbl 1498.35010 J. Evol. Equ. 22, No. 3, Paper No. 74, 40 p. (2022). MSC: 35A15 35R11 35K51 35A01 PDFBibTeX XMLCite \textit{S. Ghosh} et al., J. Evol. Equ. 22, No. 3, Paper No. 74, 40 p. (2022; Zbl 1498.35010) Full Text: DOI arXiv
Gentile, Andrea; Giova, Raffaella Regularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions. (English) Zbl 1498.35208 Nonlinear Anal., Real World Appl. 68, Article ID 103681, 26 p. (2022). MSC: 35J20 PDFBibTeX XMLCite \textit{A. Gentile} and \textit{R. Giova}, Nonlinear Anal., Real World Appl. 68, Article ID 103681, 26 p. (2022; Zbl 1498.35208) Full Text: DOI arXiv
Adimurthi, Karthik; Tewary, Vivek Borderline Lipschitz regularity for bounded minimizers of functionals with \((p,q)\)-growth. (English) Zbl 1498.35206 Forum Math. 34, No. 5, 1365-1381 (2022). MSC: 35J20 49N60 PDFBibTeX XMLCite \textit{K. Adimurthi} and \textit{V. Tewary}, Forum Math. 34, No. 5, 1365--1381 (2022; Zbl 1498.35206) Full Text: DOI arXiv
Cupini, Giovanni; Leonetti, Francesco; Mascolo, Elvira Local boundedness for solutions of a class of nonlinear elliptic systems. (English) Zbl 1486.35177 Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 94, 17 p. (2022). MSC: 35J47 35B65 PDFBibTeX XMLCite \textit{G. Cupini} et al., Calc. Var. Partial Differ. Equ. 61, No. 3, Paper No. 94, 17 p. (2022; Zbl 1486.35177) Full Text: DOI arXiv
Lv, Huilin; Zheng, Shenzhou; Feng, Zhaosheng Existence results for nonlinear Schrödinger equations involving the fractional \((p, q)\)-Laplacian and critical nonlinearities. (English) Zbl 1496.35435 Electron. J. Differ. Equ. 2021, Paper No. 100, 24 p. (2021). MSC: 35R11 35A15 35J62 35J92 58E05 PDFBibTeX XMLCite \textit{H. Lv} et al., Electron. J. Differ. Equ. 2021, Paper No. 100, 24 p. (2021; Zbl 1496.35435) Full Text: Link
Zhang, Junjie; Zheng, Shenzhou; Zuo, Chunyan \( W^{2, p} \)-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values. (English) Zbl 1486.35103 Discrete Contin. Dyn. Syst., Ser. S 14, No. 9, 3305-3318 (2021). Reviewer: Dian K. Palagachev (Bari) MSC: 35B65 35D40 35J25 35J60 35K20 35K55 PDFBibTeX XMLCite \textit{J. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 9, 3305--3318 (2021; Zbl 1486.35103) Full Text: DOI
Bertazzoni, Giacomo; Riccò, Samuele Regularity for obstacle problems without structure conditions. (English) Zbl 1477.49056 Nonlinear Anal., Real World Appl. 62, Article ID 103353, 18 p. (2021). MSC: 49N60 35B65 49J45 35B45 49J40 PDFBibTeX XMLCite \textit{G. Bertazzoni} and \textit{S. Riccò}, Nonlinear Anal., Real World Appl. 62, Article ID 103353, 18 p. (2021; Zbl 1477.49056) Full Text: DOI arXiv
Capone, Claudia On the regularity of solutions to a class of degenerate PDE’s with lower order terms. (English) Zbl 1473.35256 J. Math. Anal. Appl. 504, No. 2, Article ID 125394, 19 p. (2021). MSC: 35J62 35J70 35J25 35B65 PDFBibTeX XMLCite \textit{C. Capone}, J. Math. Anal. Appl. 504, No. 2, Article ID 125394, 19 p. (2021; Zbl 1473.35256) Full Text: DOI
De Filippis, Cristiana; Mingione, Giuseppe Interpolative gap bounds for nonautonomous integrals. (English) Zbl 1478.35117 Anal. Math. Phys. 11, No. 3, Paper No. 117, 39 p. (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35J60 35J70 PDFBibTeX XMLCite \textit{C. De Filippis} and \textit{G. Mingione}, Anal. Math. Phys. 11, No. 3, Paper No. 117, 39 p. (2021; Zbl 1478.35117) Full Text: DOI arXiv
Ciani, Simone; Vespri, Vincenzo On Hölder continuity and equivalent formulation of intrinsic Harnack estimates for an anisotropic parabolic degenerate prototype equation. (English) Zbl 1488.35317 Constr. Math. Anal. 4, No. 1, 93-103 (2021). MSC: 35K65 35K92 35B65 PDFBibTeX XMLCite \textit{S. Ciani} and \textit{V. Vespri}, Constr. Math. Anal. 4, No. 1, 93--103 (2021; Zbl 1488.35317) Full Text: DOI arXiv
Marcellini, Paolo Growth conditions and regularity for weak solutions to nonlinear elliptic PDEs. (English) Zbl 1512.35301 J. Math. Anal. Appl. 501, No. 1, Article ID 124408, 32 p. (2021). MSC: 35J62 35B65 35J20 PDFBibTeX XMLCite \textit{P. Marcellini}, J. Math. Anal. Appl. 501, No. 1, Article ID 124408, 32 p. (2021; Zbl 1512.35301) Full Text: DOI
Marcellini, Paolo Anisotropy versus inhomogeneity in the calculus of variations. (English) Zbl 1467.35126 J. Convex Anal. 28, No. 2, 613-628 (2021). Reviewer: Vincenzo Vespri (Firenze) MSC: 35J20 35B65 35J60 01A70 PDFBibTeX XMLCite \textit{P. Marcellini}, J. Convex Anal. 28, No. 2, 613--628 (2021; Zbl 1467.35126) Full Text: Link
Cui, Na; Sun, Hong-Rui Existence and multiplicity results for double phase problem with nonlinear boundary condition. (English) Zbl 1466.35200 Nonlinear Anal., Real World Appl. 60, Article ID 103307, 18 p. (2021). MSC: 35J66 35A01 35A15 PDFBibTeX XMLCite \textit{N. Cui} and \textit{H.-R. Sun}, Nonlinear Anal., Real World Appl. 60, Article ID 103307, 18 p. (2021; Zbl 1466.35200) Full Text: DOI
Benyaiche, Allami; Harjulehto, Petteri; Hästö, Peter; Karppinen, Arttu The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth. (English) Zbl 1455.35088 J. Differ. Equations 275, 790-814 (2021). MSC: 35J60 35B65 31C45 PDFBibTeX XMLCite \textit{A. Benyaiche} et al., J. Differ. Equations 275, 790--814 (2021; Zbl 1455.35088) Full Text: DOI arXiv
Gavioli, Chiara Higher differentiability for a class of obstacle problems with nearly linear growth conditions. (English) Zbl 1468.35069 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 4, 767-789 (2020). MSC: 35J87 49J40 47J20 PDFBibTeX XMLCite \textit{C. Gavioli}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 4, 767--789 (2020; Zbl 1468.35069) Full Text: DOI
Marcellini, Paolo Interior gradient bounds for nonlinear elliptic systems. (English) Zbl 1454.35005 Rend. Mat. Appl., VII. Ser. 41, No. 3-4, 301-323 (2020). Reviewer: Vincenzo Vespri (Firenze) MSC: 35-02 35B45 35B65 35J20 35J60 49J45 49N60 35J47 35-03 01A60 PDFBibTeX XMLCite \textit{P. Marcellini}, Rend. Mat. Appl., VII. Ser. 41, No. 3--4, 301--323 (2020; Zbl 1454.35005) Full Text: Link
Bertazzoni, Giacomo; Riccò, Samuele Lipschitz regularity results for a class of obstacle problems with nearly linear growth. (English) Zbl 1456.49028 J. Elliptic Parabol. Equ. 6, No. 2, 883-918 (2020). Reviewer: Elvira Mascolo (Firenze) MSC: 49N60 35B65 35B45 49J40 PDFBibTeX XMLCite \textit{G. Bertazzoni} and \textit{S. Riccò}, J. Elliptic Parabol. Equ. 6, No. 2, 883--918 (2020; Zbl 1456.49028) Full Text: DOI
Ambrosio, Vincenzo; Rădulescu, Vicenţiu D. Fractional double-phase patterns: concentration and multiplicity of solutions. (English. French summary) Zbl 1448.35538 J. Math. Pures Appl. (9) 142, 101-145 (2020). MSC: 35R11 35J61 47J30 58E05 PDFBibTeX XMLCite \textit{V. Ambrosio} and \textit{V. D. Rădulescu}, J. Math. Pures Appl. (9) 142, 101--145 (2020; Zbl 1448.35538) Full Text: DOI
Di Marco, Tommaso; Marcellini, Paolo A-priori gradient bound for elliptic systems under either slow or fast growth conditions. (English) Zbl 1442.35049 Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 120, 26 p. (2020). MSC: 35B45 35B65 35D30 35J20 35J57 35J62 49J45 49N60 PDFBibTeX XMLCite \textit{T. Di Marco} and \textit{P. Marcellini}, Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 120, 26 p. (2020; Zbl 1442.35049) Full Text: DOI arXiv
Mingione, Giuseppe; Palatucci, Giampiero Developments and perspectives in nonlinear potential theory. (English) Zbl 1436.35163 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 194, Article ID 111452, 17 p. (2020). MSC: 35J60 31C45 PDFBibTeX XMLCite \textit{G. Mingione} and \textit{G. Palatucci}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 194, Article ID 111452, 17 p. (2020; Zbl 1436.35163) Full Text: DOI
Mooney, Connor Minimizers of convex functionals with small degeneracy set. (English) Zbl 1456.49029 Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 74, 19 p. (2020). Reviewer: Carlo Mariconda (Padova) MSC: 49N60 35B65 35J60 PDFBibTeX XMLCite \textit{C. Mooney}, Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 74, 19 p. (2020; Zbl 1456.49029) Full Text: DOI arXiv