Avkhadiev, Farit G.; Kacimov, Anvar R. The Saint-Venant type isoperimetric inequalities for assessing saturated water storage in lacunary shallow perched aquifers. (English) Zbl 07824422 ZAMM, Z. Angew. Math. Mech. 103, No. 1, Article ID e202100069, 22 p. (2023). MSC: 35J05 PDFBibTeX XMLCite \textit{F. G. Avkhadiev} and \textit{A. R. Kacimov}, ZAMM, Z. Angew. Math. Mech. 103, No. 1, Article ID e202100069, 22 p. (2023; Zbl 07824422) Full Text: DOI
David, Guy; Jeznach, Cole; Julia, Antoine Cantor sets with absolutely continuous harmonic measure. (Ensembles de Cantor avec une mesure harmonique absolument continue.) (English. French summary) Zbl 1527.31003 J. Éc. Polytech., Math. 10, 1277-1298 (2023). MSC: 31A15 35J15 PDFBibTeX XMLCite \textit{G. David} et al., J. Éc. Polytech., Math. 10, 1277--1298 (2023; Zbl 1527.31003) Full Text: DOI arXiv
Gallegos, Josep M. Size of the zero set of solutions of elliptic PDEs near the boundary of Lipschitz domains with small Lipschitz constant. (English) Zbl 1516.31008 Calc. Var. Partial Differ. Equ. 62, No. 4, Paper No. 113, 52 p. (2023). MSC: 31B05 35J62 31B20 35J25 PDFBibTeX XMLCite \textit{J. M. Gallegos}, Calc. Var. Partial Differ. Equ. 62, No. 4, Paper No. 113, 52 p. (2023; Zbl 1516.31008) Full Text: DOI arXiv
Fässler, Katrin; Orponen, Tuomas Singular integrals on regular curves in the Heisenberg group. (English. French summary) Zbl 1483.43009 J. Math. Pures Appl. (9) 153, 30-113 (2021). MSC: 43A80 42B20 28A75 35R03 PDFBibTeX XMLCite \textit{K. Fässler} and \textit{T. Orponen}, J. Math. Pures Appl. (9) 153, 30--113 (2021; Zbl 1483.43009) Full Text: DOI arXiv
van den Berg, M.; Carroll, Tom On the torsion function with mixed boundary conditions. (English) Zbl 1479.35311 Potential Anal. 55, No. 2, 277-284 (2021). Reviewer: Igor Bock (Bratislava) MSC: 35J25 35J05 35P15 PDFBibTeX XMLCite \textit{M. van den Berg} and \textit{T. Carroll}, Potential Anal. 55, No. 2, 277--284 (2021; Zbl 1479.35311) Full Text: DOI arXiv
Antunes, Pedro R. S.; Benguria, Rafael D.; Lotoreichik, Vladimir; Ourmières-Bonafos, Thomas A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities. (English) Zbl 1472.81090 Commun. Math. Phys. 386, No. 2, 781-818 (2021). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q10 81R25 30H20 30H10 35J10 35P05 58J50 47J20 49J40 PDFBibTeX XMLCite \textit{P. R. S. Antunes} et al., Commun. Math. Phys. 386, No. 2, 781--818 (2021; Zbl 1472.81090) Full Text: DOI arXiv Link
Capitanelli, Raffaela; D’Ovidio, Mirko Fractional Cauchy problem on random snowflakes. (English) Zbl 1475.60147 J. Evol. Equ. 21, No. 2, 2123-2140 (2021). MSC: 60J50 35R11 58J37 PDFBibTeX XMLCite \textit{R. Capitanelli} and \textit{M. D'Ovidio}, J. Evol. Equ. 21, No. 2, 2123--2140 (2021; Zbl 1475.60147) Full Text: DOI arXiv
Akman, Murat; Lewis, John; Saari, Olli; Vogel, Andrew The Brunn-Minkowski inequality and a Minkowski problem for \(\mathcal{A} \)-harmonic Green’s function. (English) Zbl 1471.35131 Adv. Calc. Var. 14, No. 2, 247-302 (2021). Reviewer: Mariana Vega Smit (Bellingham) MSC: 35J60 31B15 39B62 52A40 35J20 52A20 35J92 PDFBibTeX XMLCite \textit{M. Akman} et al., Adv. Calc. Var. 14, No. 2, 247--302 (2021; Zbl 1471.35131) Full Text: DOI arXiv Link
Betsakos, Dimitrios; Solynin, Alexander Yu. Heating long pipes. (English) Zbl 1462.31011 Anal. Math. Phys. 11, No. 1, Paper No. 40, 35 p. (2021). MSC: 31B20 35K05 35B07 PDFBibTeX XMLCite \textit{D. Betsakos} and \textit{A. Yu. Solynin}, Anal. Math. Phys. 11, No. 1, Paper No. 40, 35 p. (2021; Zbl 1462.31011) Full Text: DOI
Mcdonald, Robb Geodesic Loewner paths with varying boundary conditions. (English) Zbl 1472.35467 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2242, Article ID 20200466, 15 p. (2020). MSC: 35R35 34A34 PDFBibTeX XMLCite \textit{R. Mcdonald}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2242, Article ID 20200466, 15 p. (2020; Zbl 1472.35467) Full Text: DOI arXiv
Matsuura, Kouhei \(L^p\)-spectral independence of Neumann Laplacians on horn-shaped domains. (English) Zbl 1462.35214 J. Evol. Equ. 20, No. 4, 1269-1286 (2020). MSC: 35P05 35J25 PDFBibTeX XMLCite \textit{K. Matsuura}, J. Evol. Equ. 20, No. 4, 1269--1286 (2020; Zbl 1462.35214) Full Text: DOI Backlinks: MO
Badger, Matthew; Engelstein, Max; Toro, Tatiana Regularity of the singular set in a two-phase problem for harmonic measure with Hölder data. (English) Zbl 1460.31012 Rev. Mat. Iberoam. 36, No. 5, 1375-1408 (2020). MSC: 31B15 35R35 PDFBibTeX XMLCite \textit{M. Badger} et al., Rev. Mat. Iberoam. 36, No. 5, 1375--1408 (2020; Zbl 1460.31012) Full Text: DOI arXiv
Hartmann, Andreas; Kellay, Karim; Tucsnak, Marius From the reachable space of the heat equation to Hilbert spaces of holomorphic functions. (English) Zbl 1454.93022 J. Eur. Math. Soc. (JEMS) 22, No. 10, 3417-3440 (2020). MSC: 93B03 93C25 93C20 35K05 35K08 30H10 30H20 PDFBibTeX XMLCite \textit{A. Hartmann} et al., J. Eur. Math. Soc. (JEMS) 22, No. 10, 3417--3440 (2020; Zbl 1454.93022) Full Text: DOI
Behrndt, Jussi; Exner, Pavel; Holzmann, Markus; Lotoreichik, Vladimir The Landau Hamiltonian with \(\delta \)-potentials supported on curves. (English) Zbl 1465.35132 Rev. Math. Phys. 32, No. 4, Article ID 2050010, 51 p. (2020). MSC: 35J10 35P20 35Q40 81Q10 PDFBibTeX XMLCite \textit{J. Behrndt} et al., Rev. Math. Phys. 32, No. 4, Article ID 2050010, 51 p. (2020; Zbl 1465.35132) Full Text: DOI arXiv
Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius The Poisson integral formula for variable-coefficient elliptic systems in rough domains. (English) Zbl 1442.35115 Danielli, Donatella (ed.) et al., Advances in harmonic analysis and partial differential equations. AMS special session, Northeastern University, Boston, MA, USA, April 21–22, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 748, 157-175 (2020). MSC: 35J57 35C15 PDFBibTeX XMLCite \textit{D. Mitrea} et al., Contemp. Math. 748, 157--175 (2020; Zbl 1442.35115) Full Text: DOI
Azzam, Jonas; Mourgoglou, Mihalis; Tolsa, Xavier A two-phase free boundary problem for harmonic measure and uniform rectifiability. (English) Zbl 1443.31003 Trans. Am. Math. Soc. 373, No. 6, 4359-4388 (2020). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31B15 28A75 28A78 35J15 35J08 42B37 PDFBibTeX XMLCite \textit{J. Azzam} et al., Trans. Am. Math. Soc. 373, No. 6, 4359--4388 (2020; Zbl 1443.31003) Full Text: DOI arXiv
Capitanelli, Raffaela; D’Ovidio, Mirko Delayed and rushed motions through time change. (English) Zbl 1446.60032 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 183-204 (2020). MSC: 60G22 35R11 60H15 PDFBibTeX XMLCite \textit{R. Capitanelli} and \textit{M. D'Ovidio}, ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 1, 183--204 (2020; Zbl 1446.60032) Full Text: arXiv Link
Aouaoui, Sami; Jlel, Rahma A new singular Trudinger-Moser type inequality with logarithmic weights and applications. (English) Zbl 1445.46034 Adv. Nonlinear Stud. 20, No. 1, 113-139 (2020). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 46E35 26D15 35A15 35D30 35J20 35J62 PDFBibTeX XMLCite \textit{S. Aouaoui} and \textit{R. Jlel}, Adv. Nonlinear Stud. 20, No. 1, 113--139 (2020; Zbl 1445.46034) Full Text: DOI
Gutlyanskiĭ, Vladimir; Nesmelova, Olga; Ryazanov, Vladimir On a quasilinear Poisson equation in the plane. (English) Zbl 1433.35136 Anal. Math. Phys. 10, No. 1, Paper No. 6, 14 p. (2020). MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{V. Gutlyanskiĭ} et al., Anal. Math. Phys. 10, No. 1, Paper No. 6, 14 p. (2020; Zbl 1433.35136) Full Text: DOI
Khabibullin, B. N.; Shmelëva, A. V. Balayage of measures and subharmonic functions to a system of rays. I: The classical case. (English. Russian original) Zbl 1430.30012 St. Petersbg. Math. J. 31, No. 1, 117-156 (2020); translation from Algebra Anal. 31, No. 1, 156-210 (2019). MSC: 30D15 31A05 35D35 PDFBibTeX XMLCite \textit{B. N. Khabibullin} and \textit{A. V. Shmelëva}, St. Petersbg. Math. J. 31, No. 1, 117--156 (2020; Zbl 1430.30012); translation from Algebra Anal. 31, No. 1, 156--210 (2019) Full Text: DOI
Grebenkov, Denis S.; Traytak, Sergey D. Semi-analytical computation of Laplacian Green functions in three-dimensional domains with disconnected spherical boundaries. (English) Zbl 07581565 J. Comput. Phys. 379, 91-117 (2019). MSC: 65Nxx 35Jxx 78Axx PDFBibTeX XMLCite \textit{D. S. Grebenkov} and \textit{S. D. Traytak}, J. Comput. Phys. 379, 91--117 (2019; Zbl 07581565) Full Text: DOI arXiv
Gutlyanskiĭ, Vladimir; Nesmelova, Olga; Ryazanov, Vladimir To the theory of semilinear equations in the plane. (English. Ukrainian original) Zbl 1433.35118 J. Math. Sci., New York 242, No. 6, 833-859 (2019); translation from Ukr. Mat. Visn. 16, No. 1, 105-140 (2019). MSC: 35J62 35J25 35A01 PDFBibTeX XMLCite \textit{V. Gutlyanskiĭ} et al., J. Math. Sci., New York 242, No. 6, 833--859 (2019; Zbl 1433.35118); translation from Ukr. Mat. Visn. 16, No. 1, 105--140 (2019) Full Text: DOI Link
Fedorovskiy, Konstantin; Paramonov, Petr On \(\mathrm{Lip}^m\)-reflection of harmonic functions over boundaries of simple Carathéodory domains. (English) Zbl 1430.31003 Anal. Math. Phys. 9, No. 3, 1031-1042 (2019). MSC: 31B05 31B25 35J05 PDFBibTeX XMLCite \textit{K. Fedorovskiy} and \textit{P. Paramonov}, Anal. Math. Phys. 9, No. 3, 1031--1042 (2019; Zbl 1430.31003) Full Text: DOI
Tao, Kai Non-perturbative positive Lyapunov exponent of Schrödinger equations and its applications to skew-shift mapping. (English) Zbl 1405.39003 J. Differ. Equations 266, No. 6, 3559-3579 (2019). MSC: 39A12 34L40 35J10 PDFBibTeX XMLCite \textit{K. Tao}, J. Differ. Equations 266, No. 6, 3559--3579 (2019; Zbl 1405.39003) Full Text: DOI arXiv
Eichinger, B.; Vandenboom, T.; Yuditskii, P. KdV hierarchy via abelian coverings and operator identities. (English) Zbl 1408.37115 Trans. Am. Math. Soc., Ser. B 6, 1-44 (2019). MSC: 37K10 37K15 37K20 35Q53 34L40 PDFBibTeX XMLCite \textit{B. Eichinger} et al., Trans. Am. Math. Soc., Ser. B 6, 1--44 (2019; Zbl 1408.37115) Full Text: DOI arXiv
Binder, Ilia; Damanik, David; Goldstein, Michael; Lukic, Milivoje Almost periodicity in time of solutions of the KdV equation. (English) Zbl 1406.35325 Duke Math. J. 167, No. 14, 2633-2678 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35B15 37K10 PDFBibTeX XMLCite \textit{I. Binder} et al., Duke Math. J. 167, No. 14, 2633--2678 (2018; Zbl 1406.35325) Full Text: DOI arXiv Euclid
Trefethen, Lloyd N. Series solution of Laplace problems. (English) Zbl 1400.31001 ANZIAM J. 60, No. 1, 1-26 (2018). MSC: 31A05 35J05 35J08 31-01 35-01 PDFBibTeX XMLCite \textit{L. N. Trefethen}, ANZIAM J. 60, No. 1, 1--26 (2018; Zbl 1400.31001) Full Text: DOI arXiv
Capitanelli, Raffaela; D’Ovidio, Mirko Skew Brownian diffusions across Koch interfaces. (English) Zbl 1367.60102 Potential Anal. 46, No. 3, 431-461 (2017). Reviewer: René L. Schilling (Dresden) MSC: 60J65 60J60 60J55 35J25 28A80 PDFBibTeX XMLCite \textit{R. Capitanelli} and \textit{M. D'Ovidio}, Potential Anal. 46, No. 3, 431--461 (2017; Zbl 1367.60102) Full Text: DOI arXiv Link
Akman, Murat; Lewis, John; Vogel, Andrew \(\sigma\)-finiteness of elliptic measures for quasilinear elliptic PDE in space. (English) Zbl 1372.35090 Adv. Math. 309, 512-557 (2017). MSC: 35J25 35J70 37F35 28A78 35K59 PDFBibTeX XMLCite \textit{M. Akman} et al., Adv. Math. 309, 512--557 (2017; Zbl 1372.35090) Full Text: DOI arXiv
Johnson, R.; Zampogni, L. Remarks on the generalized reflectionless Schrödinger potentials. (English) Zbl 1367.37018 J. Dyn. Differ. Equations 28, No. 3-4, 925-953 (2016). MSC: 37B55 34L40 31A35 30F35 35J10 PDFBibTeX XMLCite \textit{R. Johnson} and \textit{L. Zampogni}, J. Dyn. Differ. Equations 28, No. 3--4, 925--953 (2016; Zbl 1367.37018) Full Text: DOI Link
Qu, Yan-Hui The spectral properties of the strongly coupled Sturm Hamiltonian of eventually constant type. (English) Zbl 1346.81041 Ann. Henri Poincaré 17, No. 9, 2475-2511 (2016). MSC: 81Q10 28A80 28A78 82B30 35P05 PDFBibTeX XMLCite \textit{Y.-H. Qu}, Ann. Henri Poincaré 17, No. 9, 2475--2511 (2016; Zbl 1346.81041) Full Text: DOI arXiv
Baratchart, Laurent; Bourgeois, Laurent; Leblond, Juliette Uniqueness results for inverse Robin problems with bounded coefficient. (English) Zbl 1439.35559 J. Funct. Anal. 270, No. 7, 2508-2542 (2016). MSC: 35R30 35A02 35B60 35J25 PDFBibTeX XMLCite \textit{L. Baratchart} et al., J. Funct. Anal. 270, No. 7, 2508--2542 (2016; Zbl 1439.35559) Full Text: DOI arXiv
Lewis, John L. \(p\) harmonic measure in simply connected domains revisited. (English) Zbl 1317.31009 Trans. Am. Math. Soc. 367, No. 3, 1543-1583 (2015). MSC: 31A30 30C85 35J70 PDFBibTeX XMLCite \textit{J. L. Lewis}, Trans. Am. Math. Soc. 367, No. 3, 1543--1583 (2015; Zbl 1317.31009) Full Text: DOI
Carroll, Tom; Ratzkin, Jesse Two isoperimetric inequalities for the Sobolev constant. (English) Zbl 1258.35154 Z. Angew. Math. Phys. 63, No. 5, 855-863 (2012). MSC: 35P15 30C80 35J05 PDFBibTeX XMLCite \textit{T. Carroll} and \textit{J. Ratzkin}, Z. Angew. Math. Phys. 63, No. 5, 855--863 (2012; Zbl 1258.35154) Full Text: DOI arXiv
Lewis, John L.; Nyström, Kaj; Poggi-Corradini, Pietro \(p\) harmonic measure in simply connected domains. (English. French summary) Zbl 1241.35071 Ann. Inst. Fourier 61, No. 2, 689-715 (2011). Reviewer: Stephen J. Gardiner (Dublin) MSC: 35J60 31A15 35Q92 35D30 35R06 PDFBibTeX XMLCite \textit{J. L. Lewis} et al., Ann. Inst. Fourier 61, No. 2, 689--715 (2011; Zbl 1241.35071) Full Text: DOI arXiv EuDML
Murata, Minoru Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries. (English) Zbl 1116.58026 J. Funct. Anal. 245, No. 1, 177-212 (2007). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 35C15 PDFBibTeX XMLCite \textit{M. Murata}, J. Funct. Anal. 245, No. 1, 177--212 (2007; Zbl 1116.58026) Full Text: DOI
Burdzy, Krzysztof; Chen, Zhen-Qing Comparison of potential theoretic properties of rough domains. (English) Zbl 1122.35085 Proc. Am. Math. Soc. 134, No. 11, 3247-3253 (2006). Reviewer: Feng-Yu Wang (Swansea) MSC: 35P05 60J45 31B15 PDFBibTeX XMLCite \textit{K. Burdzy} and \textit{Z.-Q. Chen}, Proc. Am. Math. Soc. 134, No. 11, 3247--3253 (2006; Zbl 1122.35085) Full Text: DOI
Jones, Peter W. \(L^\infty\) estimates for the \(\bar\partial\) problem in a half-plane. (English) Zbl 0516.35060 Acta Math. 150, 137-152 (1983). MSC: 35N15 30D55 PDFBibTeX XMLCite \textit{P. W. Jones}, Acta Math. 150, 137--152 (1983; Zbl 0516.35060) Full Text: DOI