Bełdziński, Michał; Galewski, Marek; Pietrusiak, Filip Minimization principle for hemivariational-variational inequality driven by uniformly monotone operators with application to problems in contact mechanics. (English) Zbl 07885669 Nonlinear Anal., Real World Appl. 79, Article ID 104134, 19 p. (2024). MSC: 49J40 35Jxx 47Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Wei; He, Yong; Yang, Ze Rong Qualitative properties of solutions for dual parabolic equation involving uniformly elliptic nonlocal operator. (English) Zbl 07883065 Math. Methods Appl. Sci. 47, No. 12, 9967-9986 (2024). MSC: 35J61 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Feneuil, Joseph; Li, Linhan; Mayboroda, Svitlana Green functions and smooth distances. (English) Zbl 1545.35045 Math. Ann. 389, No. 3, 2637-2727 (2024). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 35J25 42B37 31B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taira, Kazuaki Oblique derivative problems and Feller semigroups with discontinuous coefficients. (English) Zbl 07818689 Ric. Mat. 73, No. 1, 1-50 (2024). MSC: 47D07 35J25 60J35 60J60 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gröchenig, Karlheinz; Klotz, Andreas Necessary density conditions for sampling and interpolation in spectral subspaces of elliptic differential operators. (English) Zbl 1534.35112 Anal. PDE 17, No. 2, 587-616 (2024). MSC: 35J15 35P99 94A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lan, Heng-You; Cui, Yi-Shun Positive weak solutions of uniformly elliptic inequalities and applications to population models. (English) Zbl 1536.49012 Complex Var. Elliptic Equ. 69, No. 2, 365-382 (2024). Reviewer: Liya Liu (Chongqing) MSC: 49J40 35R45 47J20 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Ruyun; Zhang, Yali; Zhu, Yan Positive solutions of indefinite semipositone elliptic problems. (English) Zbl 1532.35152 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 45, 12 p. (2024). MSC: 35J25 35A01 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Armstrong, Scott; Kuusi, Tuomo; Smart, Charles Large-scale analyticity and unique continuation for periodic elliptic equations. (English) Zbl 1536.35149 Commun. Pure Appl. Math. 76, No. 1, 73-113 (2023). Reviewer: Marius Ghergu (Dublin) MSC: 35J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Azzam, Jonas; Garnett, John; Mourgoglou, Mihalis; Tolsa, Xavier Uniform rectifiability, elliptic measure, square functions, and \(\varepsilon\)-approximability via an ACF monotonicity formula. (English) Zbl 1521.35093 Int. Math. Res. Not. 2023, No. 13, 10837-10941 (2023). MSC: 35J15 28A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
David, G.; Mayboroda, S. Harmonic measure is absolutely continuous with respect to the Hausdorff measure on all low-dimensional uniformly rectifiable sets. (English. French summary) Zbl 1527.35149 Int. Math. Res. Not. 2023, No. 11, 9319-9426 (2023). Reviewer: Lavi Karp (Karmiel) MSC: 35J70 42B37 31B25 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Qu, Meng; Wu, Jiayan Liouville theorem involving the uniformly nonlocal operator. (English) Zbl 1473.35237 Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 1893-1903 (2021). MSC: 35J60 35B53 × Cite Format Result Cite Review PDF Full Text: DOI
Birindelli, Isabeau; Galise, Giulio; Rodríguez-Paredes, Andrei Existence issues for a large class of degenerate elliptic equations with nonlinear Hamiltonians. (English) Zbl 1466.35204 J. Convex Anal. 28, No. 2, 329-352 (2021). MSC: 35J70 35J96 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Qu, Meng; Wu, Jiayan; Zhang, Ting Sliding method for the semi-linear elliptic equations involving the uniformly elliptic nonlocal operators. (English) Zbl 1465.35399 Discrete Contin. Dyn. Syst. 41, No. 5, 2285-2300 (2021). MSC: 35R11 35B51 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Wei; Qin, Guolin Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications. (English) Zbl 1467.35072 Ann. Mat. Pura Appl. (4) 200, No. 3, 1085-1134 (2021). Reviewer: Giovanni Anello (Messina) MSC: 35B50 35R11 35B06 35B53 35J96 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krylov, N. V. Elliptic equations with VMO \(a,b\in L_d\), and \(c\in L_{d/2}\). (English) Zbl 1460.35069 Trans. Am. Math. Soc. 374, No. 4, 2805-2822 (2021). Reviewer: Lubomira Softova (Salerno) MSC: 35D35 35J15 60J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xueying; Bao, Gejun; Li, Guanfeng Monotonicity of solutions for the uniformly elliptic nonlocal Bellman equation on the upper half space. (English) Zbl 1459.35151 J. Math. Anal. Appl. 496, No. 2, Article ID 124843, 19 p. (2021). MSC: 35J60 35R11 30B50 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Ji, Hongwei; Sun, Jingxian; Cui, Yujun Existence of sign-changing solutions for boundary value problems of uniformly elliptic operators. (Chinese. English summary) Zbl 1463.35229 Math. Pract. Theory 50, No. 6, 212-218 (2020). MSC: 35J25 × Cite Format Result Cite Review PDF
Shin, Pilsoo Calderón-Zygmund estimates for general elliptic operators with double phase. (English) Zbl 1447.35159 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 194, Article ID 111409, 16 p. (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 35J70 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Nornberg, Gabrielle; Schiera, Delia; Sirakov, Boyan A priori estimates and multiplicity for systems of elliptic PDE with natural gradient growth. (English) Zbl 1444.35122 Discrete Contin. Dyn. Syst. 40, No. 6, 3857-3881 (2020). Reviewer: Petr Tomiczek (Plzeň) MSC: 35P30 35J60 35J66 35A01 35A16 35J57 35B45 35D40 35B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tautenhahn, Martin; Veselić, Ivan Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications. (English) Zbl 1436.35110 J. Differ. Equations 268, No. 12, 7669-7714 (2020). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J15 35J10 47B80 47N70 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Fu Chang; Lai, Ming Jun A new \(H^2\) regularity condition of the solution to Dirichlet problem of the Poisson equation and its applications. (English) Zbl 1430.35042 Acta Math. Sin., Engl. Ser. 36, No. 1, 21-39 (2020). MSC: 35B65 35J25 35D35 35J05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ren, Xueyan; Wang, Guotao; Bai, Zhanbing; El-Deeb, A. A. Maximum principle and its application to multi-index Hadamard fractional diffusion equation. (English) Zbl 1524.35711 Bound. Value Probl. 2019, Paper No. 182, 8 p. (2019). MSC: 35R11 35B50 × Cite Format Result Cite Review PDF Full Text: DOI
Nornberg, Gabrielle; Sirakov, Boyan A priori bounds and multiplicity for fully nonlinear equations with quadratic growth in the gradient. (English) Zbl 1436.35164 J. Funct. Anal. 276, No. 6, 1806-1852 (2019). Reviewer: Josef Diblík (Brno) MSC: 35J60 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daners, Daniel; López-Gómez, Julián Global dynamics of generalized logistic equations. (English) Zbl 1392.35109 Adv. Nonlinear Stud. 18, No. 2, 217-236 (2018). MSC: 35J25 35K57 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, De Positive solutions to semilinear elliptic equations involving a weighted fractional Lapalacian. (English) Zbl 1375.35206 Math. Methods Appl. Sci. 40, No. 7, 2596-2609 (2017). MSC: 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Finster, Felix; Röken, Christian Self-adjointness of the Dirac Hamiltonian for a class of non-uniformly elliptic boundary value problems. (English) Zbl 1386.35042 Ann. Math. Sci. Appl. 1, No. 2, 301-320 (2016). MSC: 35F45 35Q41 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schaback, Robert All well-posed problems have uniformly stable and convergent discretizations. (English) Zbl 1338.65138 Numer. Math. 132, No. 3, 597-630 (2016). Reviewer: Bangti Jin (London) MSC: 65J10 47A50 35J25 65N30 65N35 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bondarev, A. S. The solvability of the variational parabolic equation with a periodic condition on the solution. (Russian. English summary) Zbl 1352.65331 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2015, No. 4, 78-88 (2015). MSC: 65M60 35J15 × Cite Format Result Cite Review PDF
Mophou, G.; Tao, S.; Joseph, C. Initial value/boundary value problem for composite fractional relaxation equation. (English) Zbl 1338.35475 Appl. Math. Comput. 257, 134-144 (2015). MSC: 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Gesztesy, Fritz; Hofmann, Steve; Nichols, Roger Stability of square root domains associated with elliptic systems of PDEs on nonsmooth domains. (English) Zbl 1308.35082 J. Differ. Equations 258, No. 5, 1749-1764 (2015). MSC: 35J25 35J10 47A07 47A55 47B44 47D07 47F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mitrea, Irina; Mitrea, Marius; Taylor, Michael Cauchy integrals, Calderón projectors, and Toeplitz operators on uniformly rectifiable domains. (English) Zbl 1305.31003 Adv. Math. 268, 666-757 (2015). Reviewer: Sönke Hansen (Paderborn) MSC: 31B10 35J46 45B05 45E05 49Q15 47B35 × Cite Format Result Cite Review PDF Full Text: DOI
Lierl, Janna; Saloff-Coste, Laurent The Dirichlet heat kernel in inner uniform domains: local results, compact domains and non-symmetric forms. (English) Zbl 1295.35240 J. Funct. Anal. 266, No. 7, 4189-4235 (2014). MSC: 35K08 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Phuc, Nguyen Cong Morrey global bounds and quasilinear Riccati type equations below the natural exponent. (English) Zbl 1300.35048 J. Math. Pures Appl. (9) 102, No. 1, 99-123 (2014). Reviewer: Giuseppe Di Fazio (Catania) MSC: 35J62 × Cite Format Result Cite Review PDF Full Text: DOI
Leoni, Fabiana Explicit subsolutions and a Liouville theorem for fully nonlinear uniformly elliptic inequalities in halfspaces. (English. French summary) Zbl 1259.35228 J. Math. Pures Appl. (9) 98, No. 5, 574-590 (2012). Reviewer: Petar Popivanov (Sofia) MSC: 35R45 35J60 35B53 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbatis, Gerassimos; Lamberti, Pier Domenico Spectral stability estimates for elliptic operators subject to domain transformations with non-uniformly bounded gradients. (English) Zbl 1253.47030 Mathematika 58, No. 2, 324-348 (2012). Reviewer: Dian K. Palagachev (Bari) MSC: 47F05 35P05 47A55 35J25 47A75 47B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saleem, Muhammad Shoaib; Shashiashvili, Malkhaz Subsolutions that are close in the uniform norm are close in the Sobolev norm as well. (English) Zbl 1243.93137 Appl. Math. Optim. 66, No. 1, 1-25 (2012). MSC: 93E20 35J15 47N10 × Cite Format Result Cite Review PDF Full Text: DOI
Armstrong, Scott N.; Sirakov, Boyan Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities. (English) Zbl 1250.35050 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 10, No. 3, 711-728 (2011). Reviewer: Gabjin Yun (Yongin) MSC: 35B53 35J60 35B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Noor, Khalida Inayat On a generalization of uniformly convex and related functions. (English) Zbl 1207.30023 Comput. Math. Appl. 61, No. 1, 117-125 (2011). MSC: 30C45 × Cite Format Result Cite Review PDF Full Text: DOI
Mishra, Akshaya K.; Panigrahi, Trailokya Class-mapping properties of the Hohlov operator. (English) Zbl 1207.30021 Bull. Korean Math. Soc. 48, No. 1, 51-65 (2011). MSC: 30C45 33E05 × Cite Format Result Cite Review PDF Full Text: DOI
Rabinovich, V.; Roch, S. Exponential estimates of eigenfunctions of matrix Schrödinger and Dirac operators. (English) Zbl 1264.47053 Duduchava, Roland (ed.) et al., Recent trends in Toeplitz and pseudodifferential operators. The Nikolai Vasilevskii anniversary volume. Basel: Birkhäuser (ISBN 978-3-0346-0547-2/hbk; 978-3-0346-0548-9/ebook). Operator Theory: Advances and Applications 210, 203-216 (2010). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47F05 35P05 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Fengping Regularity theory for the uniformly elliptic operators in Orlicz spaces. (English) Zbl 1207.35086 Comput. Math. Appl. 60, No. 12, 3098-3104 (2010). MSC: 35B65 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Pokrovskiĭ, A. V. On embedding and coinciding of some classes of functions. (Russian. English summary) Zbl 1199.35041 Zb. Pr. Inst. Mat. NAN Ukr. 6, No. 1, 209-221 (2009). MSC: 35D99 35J15 46E35 35A20 × Cite Format Result Cite Review PDF
Dinca, George; Matei, Pavel Geometry of Sobolev spaces with variable exponent and a generalization of the \(p\)-Laplacian. (English) Zbl 1189.46010 Anal. Appl., Singap. 7, No. 4, 373-390 (2009). Reviewer: Jesús Hernández (Madrid) MSC: 46B20 46E35 46E30 46B10 35J70 × Cite Format Result Cite Review PDF Full Text: DOI
Meerschaert, Mark M.; Nane, Erkan; Vellaisamy, P. Fractional Cauchy problems on bounded domains. (English) Zbl 1247.60078 Ann. Probab. 37, No. 3, 979-1007 (2009). Reviewer: Aleksander Iksanov (Kiev) MSC: 60G99 35C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Patrizi, Stefania Principal eigenvalues for Isaacs operators with Neumann boundary conditions. (English) Zbl 1178.35180 NoDEA, Nonlinear Differ. Equ. Appl. 16, No. 1, 79-107 (2009). Reviewer: Rainer Picard (Dresden) MSC: 35J65 35P30 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rabinovich, Vladimir S.; Roch, Steffen Essential spectrum and exponential decay estimates of solutions of elliptic systems of partial differential equations. Applications to Schrödinger and Dirac operators. (English) Zbl 1154.47039 Georgian Math. J. 15, No. 2, 333-351 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47F05 35P05 81Q10 × Cite Format Result Cite Review PDF
Palagachev, Dian K. The Poincaré problem in \(L^p\)-Sobolev spaces. II: Full dimension degeneracy. (English) Zbl 1151.35019 Commun. Partial Differ. Equations 33, No. 2, 209-234 (2008). Reviewer: Dian K. Palagachev (Bari) MSC: 35J25 35J70 58J32 35R05 35B45 35H20 × Cite Format Result Cite Review PDF Full Text: DOI
Palagachev, Dian K. \(W^{2, p}\)-a priori estimates for the emergent Poincaré problem. (English) Zbl 1137.35024 J. Glob. Optim. 40, No. 1-3, 305-318 (2008). MSC: 35J25 35R25 35R05 35B45 35H20 58J32 × Cite Format Result Cite Review PDF Full Text: DOI
Dodds, Niall Further spectral properties of uniformly elliptic operators that include a non-local term. (English) Zbl 1141.45002 Appl. Math. Comput. 197, No. 1, 317-327 (2008). Reviewer: Cornelis van der Mee (Cagliari) MSC: 45C05 45K05 45M05 × Cite Format Result Cite Review PDF Full Text: DOI
Qian, Chunlin; Zhang, Jing; Cai, Baokang Estimate of the upper bound of second eigenvalue for uniformly elliptic operator with four orders. (English) Zbl 1174.35457 J. Univ. Sci. Technol. China 37, No. 11, 1373-1377 (2007). MSC: 35P15 35J25 × Cite Format Result Cite Review PDF
Palagachev, Dian K. \(W^{2,p}\)-a priori estimates for the neutral Poincaré problem. (English) Zbl 1159.35328 J. Nonlinear Convex Anal. 7, No. 3, 499-513 (2006). MSC: 35J25 35R25 35B45 35R05 35H20 35D10 × Cite Format Result Cite Review PDF Full Text: arXiv
Masatoshi, Fujisaki Nonlinear semigroup associated with maximizing operator and large deviation. (English) Zbl 1110.47050 Cubo 8, No. 1, 17-27 (2006). Reviewer: Evgeniy Panov (Novgorod) MSC: 47H20 60F10 65C30 93E20 × Cite Format Result Cite Review PDF
Giannotti, Cristina Weak uniqueness for elliptic operators in \(\mathbb R^3\) with time-independent coefficients. (English) Zbl 1245.35022 Bull. Aust. Math. Soc. 74, No. 1, 91-110 (2006). MSC: 35J25 35B05 × Cite Format Result Cite Review PDF Full Text: DOI
Palagachev, Dian K. \(L^p\)-regularity for Poincaré problem and applications. (English) Zbl 1170.35098 Giannessi, Franco (ed.) et al., Variational analysis and applications. Proceedings of the 38th conference of the School of Mathematics “G. Stampacchia” in memory of G. Stampacchia and J.-L. Lions, Erice, Italy, June 20–July 1, 2003. New York, NY: Springer (ISBN 0-387-24209-0/hbk; 0-387-24276-7/e-book ). Nonconvex Optimization and its Applications 79, 773-789 (2005). Reviewer: Lubomira Softova (Bari) MSC: 35R25 35J25 35R05 35B45 46N20 35H20 58J32 × Cite Format Result Cite Review PDF
Palagachev, Dian K. The Poincaré problem in \(L^p\)-Sobolev spaces. I: Codimension one degeneracy. (English) Zbl 1149.35029 J. Funct. Anal. 229, No. 1, 121-142 (2005). MSC: 35J70 35B45 35D30 47F05 47N20 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Pokrovskii, A. V. Removable singularities of solutions of second-order divergence-form elliptic equations. (English. Russian original) Zbl 1112.35007 Math. Notes 77, No. 3, 391-399 (2005); translation from Mat. Zametki 77, No. 3, 424-433 (2005). MSC: 35A20 35J15 35D99 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Matevosyan, Norayr; Markowich, Peter A. Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations. (English) Zbl 1064.35215 Monatsh. Math. 142, No. 1-2, 17-25 (2004). Reviewer: Nikolai V. Krasnoschok (Donetsk) MSC: 35R35 35J65 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sung, Chiung-Jue Polynomial growth solutions to non-uniformly elliptic operators. (English) Zbl 1052.58023 Int. J. Pure Appl. Math. 13, No. 1, 115-122 (2004). Reviewer: Dian K. Palagachev (Bari) MSC: 58J05 × Cite Format Result Cite Review PDF
Rabier, Patrick J. Asymptotic behavior of the solutions of linear and quasilinear elliptic equations on \(\mathbb{R} ^{N}\). (English) Zbl 1055.35078 Trans. Am. Math. Soc. 356, No. 5, 1889-1907 (2004). Reviewer: Gianfranco Bottaro (Genova) MSC: 35P05 47F05 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Sakbaev, V. Zh. On properties of solutions of the Cauchy problem for the Schrödinger equation degenerate on the half-line. (English. Russian original) Zbl 1089.35055 J. Math. Sci., New York 129, No. 1, 3657-3669 (2005); translation from Sovrem. Mat. Prilozh. 10, 140-152 (2003). MSC: 35Q40 81Q05 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Kochubeĭ, A. N.; Èĭdel’man, S. D. Equations of one-dimensional fractal diffusion. (Russian. English summary) Zbl 1037.35117 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2003, No. 12, 11-16 (2003). MSC: 35S10 35K15 26A33 28A80 35A08 60J60 × Cite Format Result Cite Review PDF
Taira, Kazuaki Logistic Dirichlet problems with discontinuous coefficients. (English) Zbl 1064.35059 J. Math. Pures Appl., IX. Sér. 82, No. 9, 1137-1190 (2003). Reviewer: Dian K. Palagachev (Bari) MSC: 35J65 92D25 47D07 × Cite Format Result Cite Review PDF Full Text: DOI Link
Miyazaki, Yoichi The \(L ^{p}\) resolvents of elliptic operators with uniformly continuous coefficients. (English) Zbl 1057.47052 J. Differ. Equations 188, No. 2, 555-568 (2003). Reviewer: Alan J. Pryde (Clayton) MSC: 47F05 35J30 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Yong Yang Regularity of a class of elliptic equations with singular lower order terms. (Chinese. English summary) Zbl 1030.35028 Acta Math. Sin. 46, No. 1, 143-152 (2003). Reviewer: Zeng Yuesheng (Huaihua) MSC: 35J10 35J25 35B65 46E30 × Cite Format Result Cite Review PDF
Jia, Gao; Wen, Zhaohui Estimations for second Dirichlet eigenvalues of higher-order elliptic operators with weighted function. (English) Zbl 1060.35091 J. Changde Teach. Univ., Nat. Sci. 14, No. 3, 21-24 (2002). MSC: 35P15 35J40 35G15 × Cite Format Result Cite Review PDF
Liu, Xingtao; Chen, Zuchi The upper bound of eigenvalues for elliptic operators of higher orders. (English) Zbl 1057.35020 J. Univ. Sci. Technol. China 32, No. 1, 37-44 (2002). MSC: 35P15 35J40 × Cite Format Result Cite Review PDF
Fujisaki, Masatoshi; Ibuki, Kazuhiko Neumann problem for the maximizing operator and its probabilistic characterization. (English) Zbl 1048.35039 Int. J. Differ. Equ. Appl. 5, No. 1, 55-69 (2002). MSC: 35P05 35J65 35J10 65N25 35R60 × Cite Format Result Cite Review PDF
Rozkosz, Andrej Time-inhomogeneous diffusions corresponding to symmetric divergence form operators. (English) Zbl 1029.60064 Probab. Math. Stat. 22, No. 2, 231-252 (2002). Reviewer: Roman Urban (Wrocław) MSC: 60J60 60J57 × Cite Format Result Cite Review PDF
Liskevich, Vitali; Sobol, Zeev; Vogt, Hendrik On the \(L_{p}\)-theory of \(C_{0}\)-semigroups associated with second-order elliptic operators. II. (English) Zbl 1020.47029 J. Funct. Anal. 193, No. 1, 55-76 (2002). Reviewer: Miklavž Mastinšek (Maribor) MSC: 47D06 47D09 × Cite Format Result Cite Review PDF Full Text: DOI
Nazarov, A. I. Estimates of the maximum for solutions of elliptic and parabolic equations in terms of weighted norms of the right-hand side. (English. Russian original) Zbl 0994.35032 St. Petersbg. Math. J. 13, No. 2, 269-279 (2002); translation from Algebra Anal. 13, No. 2, 151-164 (2002). Reviewer: Lubomira Softova (Bari) MSC: 35B45 35B50 × Cite Format Result Cite Review PDF Full Text: DOI
Lahrech, S.; Addou, A. Sufficient conditions for elliptic problem of optimal control in \(R^n\) in Orlicz Sobolev spaces. (English) Zbl 1274.49036 Mat. Vesn. 53, No. 1-2, 37-49 (2001). MSC: 49K20 × Cite Format Result Cite Review PDF
Gallo, A.; Piccirillo, A. M.; Toscano, L. On some noncoercitive variational inequalities. (English) Zbl 0990.49008 Ukr. Math. J. 53, No. 6, 841-865 (2001) and Ukr. Mat. Zh. 53, No. 6, 723-741 (2001). Reviewer: I.O.Parasyuk (Kyïv) MSC: 49J40 35J85 49N60 × Cite Format Result Cite Review PDF Full Text: DOI
Favaron, A.; Lorenzi, A. Parabolic integrodifferential identification problems related to radial memory kernels. I. (English) Zbl 0991.35107 J. Inverse Ill-Posed Probl. 9, No. 5, 489-529 (2001). MSC: 35R30 45K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hislop, P. D.; Lutzer, C. Spectral asymptotics of the Dirichlet-to-Neumann map on multiply connected domains in \(\mathbb{R}^d\). (English) Zbl 0991.35108 Inverse Probl. 17, No. 6, 1717-1741 (2001). MSC: 35R30 35P20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Ki-Ahm; Shahgholian, Henrik Regularity of a free boundary for viscosity solutions of nonlinear elliptic equations. (English) Zbl 1020.35123 Commun. Pure Appl. Math. 54, No. 1, 43-56 (2001). MSC: 35R35 35J60 35N10 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yemin Hölder continuity of solutions for some Schrödinger equations. (Chinese. English summary) Zbl 1029.35085 J. Zhejiang Univ., Sci. Ed. 27, No. 5, 498-502 (2000). MSC: 35J10 37J15 35B65 47F05 × Cite Format Result Cite Review PDF
Kurylev, Yaroslav; Lassas, Matti Gelf’and inverse problem for a quadratic operator pencil. (English) Zbl 0968.47005 J. Funct. Anal. 176, No. 2, 247-263 (2000). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 47A56 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kurata, Kazuhiro; Sugano, Satoko A remark on estimates for uniformly elliptic operators on weighted \(L^p\) spaces and Morrey spaces. (English) Zbl 0939.35036 Math. Nachr. 209, 137-150 (2000). Reviewer: J.Mo (Anhui) MSC: 35B45 35J15 35B27 × Cite Format Result Cite Review PDF Full Text: DOI
Palagachev, D. K.; Ragusa, M. A. Oblique derivative problem in Morrey spaces. (English) Zbl 0943.35018 Bainov, D. (ed.), Proceedings of the 9th international colloquium on differential equations, Plovdiv, Bulgaria, August 18-23, 1998. Utrecht: VSP. 307-310 (1999). Reviewer: Drumi Bainov (Sofia) MSC: 35J25 35B45 35R05 × Cite Format Result Cite Review PDF
Langer, Mikael \(L^p\)-contractivity of semigroups generated by parabolic matrix differential operators. (English) Zbl 0954.47031 Rossmann, Jürgen (ed.) et al., The Maz’ya anniversary collection. Vol. 1: On Maz’ya’s work in functional analysis, partial differential equations and applications. Based on talks given at the conference, Rostock, Germany, August 31-September 4, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 109, 307-330 (1999). Reviewer: Wilson Lamb (Glasgow) MSC: 47D06 47B40 35K45 × Cite Format Result Cite Review PDF
Busca, Jérôme Existence results for Bellman equations and maximum principles in unbounded domains. (English) Zbl 0961.35021 Commun. Partial Differ. Equations 24, No. 11-12, 2023-242 (1999). Reviewer: Kamil Sabitov (Sterlitamak) MSC: 35B50 35J25 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Davies, E. B. Pointwise lower bounds on the heat kernels of higher order elliptic operators. (English) Zbl 0926.35032 Math. Proc. Camb. Philos. Soc. 125, No. 1, 105-111 (1999). MSC: 35J30 47F05 58J35 × Cite Format Result Cite Review PDF Full Text: DOI
Barbatis, G. Stability and regularity of higher order elliptic operators with measurable coefficients. (English) Zbl 0922.35047 J. Lond. Math. Soc., II. Ser. 58, No. 2, 342-352 (1998). Reviewer: G.Barbatis (London) MSC: 35J30 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Di Blasio, Gabriella Time and space Sobolev regularity of solutions to homogeneous parabolic equations. (English) Zbl 0962.35078 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 9, No. 2, 89-94 (1998). Reviewer: Lutz Recke (Berlin) MSC: 35K20 35B65 46E35 × Cite Format Result Cite Review PDF
Ferrari, Fausto On boundary behavior of harmonic functions in Hölder domains. (English) Zbl 0922.31005 J. Fourier Anal. Appl. 4, No. 4-5, 447-461 (1998). Reviewer: D.H.Armitage (Belfast) MSC: 31B25 35J15 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Lakshmikantham, V.; Yin, Y. Existence and comparison principle for impulsive parabolic equations with variable times. (English) Zbl 0902.35059 Nonlinear World 4, No. 2, 145-156 (1997). Reviewer: E.Minchev (Sofia) MSC: 35K60 35B05 35R10 × Cite Format Result Cite Review PDF
Maslowski, Bohdan Asymptotic properties of stochastic equations with boundary and pointwise noise. (English) Zbl 0869.60055 Engelbert, Hans-Jürgen (ed.) et al., Stochastic processes and related topics. Proceedings of the 10th winter school, Siegmundsberg, Germany, March 13–19, 1994. Amsterdam: Gordon and Breach Publishers. Stochastics Monogr. 10, 67-76 (1996). Reviewer: B.Maslowski MSC: 60H15 60H10 × Cite Format Result Cite Review PDF
Curtain, Ruth F.; Ichikawa, Akira The Nehari problem for infinite-dimensional linear systems of parabolic type. (English) Zbl 0858.47017 Integral Equations Oper. Theory 26, No. 1, 29-45 (1996). MSC: 47B35 47A50 93C25 93B36 × Cite Format Result Cite Review PDF Full Text: DOI
Dobronets, Boris S. A posteriori error estimation for partial differential equations. (English) Zbl 0853.65107 Alefeld, Götz (ed.) et al., Scientific computing and validated numerics. Proceedings of the international symposium on scientific computing, computer arithmetic and validated numerics SCAN-95, Wuppertal, Germany, September 26-29, 1995. Berlin: Akademie Verlag. Math. Res. 90, 239-244 (1996). MSC: 65N15 65G30 × Cite Format Result Cite Review PDF
Wu, Jang-Mei Harmonic measures for elliptic operators of nondivergence form. (English) Zbl 0845.31003 Potential Anal. 5, No. 1, 45-59 (1996). Reviewer: S.K.Rangarajan (Madras) MSC: 31B35 × Cite Format Result Cite Review PDF Full Text: DOI
Raymond, J. P. Optimal control problem for semilinear parabolic equations with pointwise state constraints. (English) Zbl 0885.49011 Malanowski, Kazimierz (ed.) et al., Modelling and optimization of distributed parameter systems. Applications to engineering. Papers from the IFIP WG 7.2 conference held in Warsaw (Poland), July 17–21, 1995. London: Chapman & Hall. 216-222 (1996). Reviewer: H.O.Fattorini (Los Angeles) MSC: 49K20 35K55 × Cite Format Result Cite Review PDF
Solov’ev, V. V. Global existence of a solution to the inverse problem of determining the source term in a quasilinear equation of parabolic type. (English. Russian original) Zbl 0884.35172 Differ. Equations 32, No. 4, 538-547 (1996); translation from Differ. Uravn. 32, No. 4, 536-544 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 35R30 35K20 × Cite Format Result Cite Review PDF
Karátson, J. The gradient method for a class of nonlinear operators in Hilbert space and applications to quasilinear differential equations. (English) Zbl 0852.47035 PU.M.A., Pure Math. Appl. 6, No. 2-3, 191-201 (1995). MSC: 47N20 47N10 46E35 46F05 35J65 90C99 47J05 × Cite Format Result Cite Review PDF
Caffarelli, Luis A.; Cabré, Xavier Fully nonlinear elliptic equations. (English) Zbl 0834.35002 Colloquium Publications. 43. Providence, RI: American Mathematical Society (AMS). v, 104 p. (1995). Reviewer: K.Pflüger (Berlin) MSC: 35-02 35J60 35B65 35B45 35J65 × Cite Format Result Cite Review PDF Backlinks: MO
Birindelli, Isabeau Hopf’s lemma and anti-maximum principle in general domains. (English) Zbl 0831.35114 J. Differ. Equations 119, No. 2, 450-472 (1995). Reviewer: G.Porru (Cagliari) MSC: 35P05 35B40 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Qian, Chunlin; Chen, Zuchi Estimates of eigenvalues for uniformly elliptic operator of second order. (English) Zbl 0822.35103 Acta Math. Appl. Sin., Engl. Ser. 10, No. 4, 349-355 (1994). MSC: 35P15 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
López-Gómez, Julián On linear weighted boundary value problems. (English) Zbl 0815.35014 Lumer, Günter (ed.) et al., Partial differential equations. Models in physics and biology. Contributions to the conference, held in Han-sur- Lesse, Belgium, in December 1993. Berlin: Akademie Verlag. Math. Res. 82, 188-203 (1994). MSC: 35J25 35P05 × Cite Format Result Cite Review PDF
Nambu, Takao On fractional powers of a class of elliptic differential operators with feedback boundary conditions. II. (English) Zbl 0813.35014 Proc. Japan Acad., Ser. A 70, No. 7, 247-251 (1994). MSC: 35J25 47F05 47A60 93B52 × Cite Format Result Cite Review PDF Full Text: DOI
Bass, Richard F.; Burdzy, Krzysztof The boundary Harnack principle for non-divergence form elliptic operators. (English) Zbl 0806.35025 J. Lond. Math. Soc., II. Ser. 50, No. 1, 157-169 (1994). MSC: 35J15 35B45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Arendt, Wolfgang Gaussian estimates and interpolation of the spectrum in \(L^ p\). (English) Zbl 0827.35081 Differ. Integral Equ. 7, No. 5-6, 1153-1168 (1994). MSC: 35P05 47D03 47F05 × Cite Format Result Cite Review PDF