Dabrock, Nils; Knüttel, Sascha; Röger, Matthias “Gradient-free” diffuse approximations of the Willmore functional and Willmore flow. (English) Zbl 07702114 Asymptotic Anal. 133, No. 1-2, 185-226 (2023). MSC: 35Q35 49Q10 49Q20 35R09 45K05 35R10 35B40 35C20 53E10 65M70 65M06 65N35 PDFBibTeX XMLCite \textit{N. Dabrock} et al., Asymptotic Anal. 133, No. 1--2, 185--226 (2023; Zbl 07702114) Full Text: DOI arXiv
Cozzi, Matteo; Lombardini, Luca On nonlocal minimal graphs. (English) Zbl 1479.49090 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 136, 72 p. (2021). Reviewer: Laurent Moonens (Paris) MSC: 49Q05 53A10 45G05 47G20 35Q31 35D30 35D40 PDFBibTeX XMLCite \textit{M. Cozzi} and \textit{L. Lombardini}, Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 136, 72 p. (2021; Zbl 1479.49090) Full Text: DOI arXiv
Beltritti, Gaston; Rossi, Julio D. Nonlocal averages in space and time given by medians and the mean curvature flow. (English) Zbl 1448.45003 Z. Anal. Anwend. 39, No. 2, 223-243 (2020). Reviewer: Vincenzo Vespri (Firenze) MSC: 45G10 45J05 35K93 PDFBibTeX XMLCite \textit{G. Beltritti} and \textit{J. D. Rossi}, Z. Anal. Anwend. 39, No. 2, 223--243 (2020; Zbl 1448.45003) Full Text: DOI
Zemlyanova, Anna Y. An adhesive contact problem for a semi-plane with a surface elasticity in the Steigmann-Ogden form. (English) Zbl 1415.74008 J. Elasticity 136, No. 1, 103-121 (2019). MSC: 74B05 45J05 PDFBibTeX XMLCite \textit{A. Y. Zemlyanova}, J. Elasticity 136, No. 1, 103--121 (2019; Zbl 1415.74008) Full Text: DOI
Jin, Tianling; Xiong, Jingang On the isoperimetric quotient over scalar-flat conformal classes. (English) Zbl 1414.53030 Commun. Partial Differ. Equations 43, No. 12, 1737-1760 (2018). MSC: 53C21 35J60 45G10 58J60 PDFBibTeX XMLCite \textit{T. Jin} and \textit{J. Xiong}, Commun. Partial Differ. Equations 43, No. 12, 1737--1760 (2018; Zbl 1414.53030) Full Text: DOI arXiv
Jin, Tianling; Li, YanYan; Xiong, Jingang The Nirenberg problem and its generalizations: a unified approach. (English) Zbl 1384.53039 Math. Ann. 369, No. 1-2, 109-151 (2017). Reviewer: Cihan Özgür (Balikesir) MSC: 53C21 35B44 45M20 35G20 PDFBibTeX XMLCite \textit{T. Jin} et al., Math. Ann. 369, No. 1--2, 109--151 (2017; Zbl 1384.53039) Full Text: DOI arXiv
Chen, Xuezhang A nonlocal \(\mathbf Q\)-curvature flow on a class of closed manifolds of dimension \(\mathbf{n \geq 5}\). arXiv:1501.00618 Preprint, arXiv:1501.00618 [math.DG] (2015). MSC: 53C44 58J05 53C21 45K05 35J30 35B40 35B50 BibTeX Cite \textit{X. Chen}, ``A nonlocal $\mathbf Q$-curvature flow on a class of closed manifolds of dimension $\mathbf{n \geq 5}$'', Preprint, arXiv:1501.00618 [math.DG] (2015) Full Text: arXiv OA License
Bonnetier, Eric; Bretin, Elie; Chambolle, Antonin Consistency result for a non monotone scheme for anisotropic mean curvature flow. (English) Zbl 1254.35128 Interfaces Free Bound. 14, No. 1, 1-35 (2012). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35K65 45L05 35B40 53C44 PDFBibTeX XMLCite \textit{E. Bonnetier} et al., Interfaces Free Bound. 14, No. 1, 1--35 (2012; Zbl 1254.35128) Full Text: DOI arXiv
Barles, Guy; Ley, Olivier; Mitake, Hiroyoshi Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations. (English) Zbl 1246.35013 Math. Ann. 352, No. 2, 409-451 (2012). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35A02 35K15 49L25 45K05 53C44 35D40 35R09 PDFBibTeX XMLCite \textit{G. Barles} et al., Math. Ann. 352, No. 2, 409--451 (2012; Zbl 1246.35013) Full Text: DOI arXiv
Alfaro, Matthieu Generation, motion and thickness of transition layers for a nonlocal Allen-Cahn equation. (English) Zbl 1184.35019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 7-8, 3324-3336 (2010). MSC: 35B25 35K57 45K05 35R35 53C44 35K20 PDFBibTeX XMLCite \textit{M. Alfaro}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 7--8, 3324--3336 (2010; Zbl 1184.35019) Full Text: DOI arXiv
Jiménez-Pérez, Hugo; de Medrano, Santiago López On the self-CPG curves and the Björling problem. arXiv:1010.3049 Preprint, arXiv:1010.3049 [math.DG] (2010). MSC: 53A10 45Q05 BibTeX Cite \textit{H. Jiménez-Pérez} and \textit{S. L. de Medrano}, ``On the self-CPG curves and the Bj\"orling problem'', Preprint, arXiv:1010.3049 [math.DG] (2010) Full Text: arXiv OA License
Imbert, Cyril; Souganidis, Panagiotis E. Phasefield theory for fractional diffusion-reaction equations and applications. arXiv:0907.5524 Preprint, arXiv:0907.5524 [math.AP] (2009). MSC: 34E10 45G05 45K05 47G20 49L25 53C44 BibTeX Cite \textit{C. Imbert} and \textit{P. E. Souganidis}, ``Phasefield theory for fractional diffusion-reaction equations and applications'', Preprint, arXiv:0907.5524 [math.AP] (2009) Full Text: arXiv OA License
Forcadel, N. An error estimate for a new scheme for mean curvature motion. (English) Zbl 1176.65154 SIAM J. Numer. Anal. 46, No. 5, 2715-2741 (2008). MSC: 65R20 45K05 45G10 53C44 49L25 PDFBibTeX XMLCite \textit{N. Forcadel}, SIAM J. Numer. Anal. 46, No. 5, 2715--2741 (2008; Zbl 1176.65154) Full Text: DOI
Jiang, Lishang; Pan, Shengliang On a non-local curve evolution problem in the plane. (English) Zbl 1151.35392 Commun. Anal. Geom. 16, No. 1, 1-26 (2008). MSC: 35K65 35K15 53A04 53C44 45K05 PDFBibTeX XMLCite \textit{L. Jiang} and \textit{S. Pan}, Commun. Anal. Geom. 16, No. 1, 1--26 (2008; Zbl 1151.35392) Full Text: DOI Euclid
Xu, Xingwang Uniqueness theorem for integral equations and its application. (English) Zbl 1153.45005 J. Funct. Anal. 247, No. 1, 95-109 (2007). Reviewer: J. Banaś (Rzeszów) MSC: 45G05 45M20 PDFBibTeX XMLCite \textit{X. Xu}, J. Funct. Anal. 247, No. 1, 95--109 (2007; Zbl 1153.45005) Full Text: DOI
Xu, Xingwang Exact solutions of nonlinear conformally invariant integral equations in \(\mathbf R^3\). (English) Zbl 1073.45003 Adv. Math. 194, No. 2, 485-503 (2005). Reviewer: D. Przeworska-Rolewicz (Warszawa) MSC: 45G05 45M20 53C21 PDFBibTeX XMLCite \textit{X. Xu}, Adv. Math. 194, No. 2, 485--503 (2005; Zbl 1073.45003) Full Text: DOI
Scherzer, O. Explicit versus implicit relative error regularization on the space of functions of bounded variation. (English) Zbl 1028.65147 Nashed, M. Zuhair (ed.) et al., Inverse problems, image analysis, and medical imaging. AMS special session on interaction of inverse problems and image analysis, New Orleans, LA, USA, January 10-13, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 313, 171-198 (2002). MSC: 65R20 65R30 45G10 PDFBibTeX XMLCite \textit{O. Scherzer}, Contemp. Math. 313, 171--198 (2002; Zbl 1028.65147)
Rotstein, Horacio G.; Brandon, Simon; Novick-Cohen, Amy; Nepomnyashchy, Alexander Phase field equations with memory: The hyperbolic case. (English) Zbl 0990.80007 SIAM J. Appl. Math. 62, No. 1, 264-282 (2001). MSC: 80A22 74D10 45K05 35L70 35R35 65M60 PDFBibTeX XMLCite \textit{H. G. Rotstein} et al., SIAM J. Appl. Math. 62, No. 1, 264--282 (2001; Zbl 0990.80007) Full Text: DOI
Chen, Chiun-Chuan; Lin, Chang-Shou On the asymptotic symmetry of singular solutions of the scalar curvature equations. (English) Zbl 0927.35034 Math. Ann. 313, No. 2, 229-245 (1999). Reviewer: L.Chang-Shou MSC: 35J60 45G10 53C21 PDFBibTeX XMLCite \textit{C.-C. Chen} and \textit{C.-S. Lin}, Math. Ann. 313, No. 2, 229--245 (1999; Zbl 0927.35034) Full Text: DOI
Dovbnya, E. N. The boundary integral equations system for negative or zeros curvature orthotropic shells with slits and cuts. (Russian) Zbl 0963.74539 Visn. Donetsk. Univ., Ser. A, Pryrod. Nauky 2, 45-52 (1998). MSC: 74K25 45F15 PDFBibTeX XMLCite \textit{E. N. Dovbnya}, Visn. Donetsk. Univ., Ser. A, Pryrod. Nauky 2, 45--52 (1998; Zbl 0963.74539)
Sharafutdinov, V. A. An inverse problem of determining a source in the stationary transport equation for a medium with refraction. (English. Russian original) Zbl 0851.53046 Sib. Math. J. 35, No. 4, 835-843 (1994); translation from Sib. Mat. Zh. 35, No. 4, 937-945 (1994). MSC: 53Z05 82C70 85A25 45G10 PDFBibTeX XMLCite \textit{V. A. Sharafutdinov}, Sib. Math. J. 35, No. 4, 835--843 (1994; Zbl 0851.53046); translation from Sib. Mat. Zh. 35, No. 4, 937--945 (1994) Full Text: DOI
Lambert, Pol V. A. J. The symmetry group of the integro-partial differential equations of Poisson-Vlasov. (English) Zbl 0799.45010 Allgower, Eugene L. (ed.) et al., Exploiting symmetry in applied and numerical analysis. Proceedings of the 22nd AMS-SIAM summer seminar in applied mathematics, Colorado State University, Fort Collins, CO, USA, July 26-August 1, 1992. Providence, RI: American Mathematical Society. Lect. Appl. Math. 29, 319-324 (1993). Reviewer: H.Brunner (St.John’s) MSC: 45K05 53C21 PDFBibTeX XMLCite \textit{P. V. A. J. Lambert}, Lect. Appl. Math. 29, 319--324 (1993; Zbl 0799.45010)
Alvarez, Luis; Lions, Pierre-Louis; Morel, Jean-Michel Image selective smoothing and edge detection by nonlinear diffusion. II. (English) Zbl 0766.65117 SIAM J. Numer. Anal. 29, No. 3, 845-866 (1992). Reviewer: E.Krause (Aachen) MSC: 65R10 45K05 65R20 49Q20 35K55 35R10 49J45 49L25 65M12 94A08 PDFBibTeX XMLCite \textit{L. Alvarez} et al., SIAM J. Numer. Anal. 29, No. 3, 845--866 (1992; Zbl 0766.65117) Full Text: DOI Link
Klimentov, S. B. On a method of constructing the solutions of boundary-value problems of the theory of bendings of surfaces of positive curvature. (English. Russian original) Zbl 0716.35020 J. Sov. Math. 51, No. 3, 2230-2248 (1990); translation from Ukr. Geom. Sb. 29, 56-82 (1986). MSC: 35F30 53C40 45K05 30G20 35F15 35J45 PDFBibTeX XMLCite \textit{S. B. Klimentov}, J. Sov. Math. 51, No. 3, 2230--2248 (1990; Zbl 0716.35020); translation from Ukr. Geom. Sb. 29, 56--82 (1986) Full Text: DOI
Mokin, Yu. I. Integral equations for the mixed boundary value problem. (English. Russian original) Zbl 0709.35037 Mosc. Univ. Comput. Math. Cybern. 1990, No. 1, 26-32 (1990); translation from Vestn. Mosk. Univ., Ser. XV 1990, No. 1, 27-35 (1990). Reviewer: E.Schechter MSC: 35J55 35C20 65M99 65N99 45A05 65R20 PDFBibTeX XMLCite \textit{Yu. I. Mokin}, Mosc. Univ. Comput. Math. Cybern. 1990, No. 1, 26--32 (1990; Zbl 0709.35037); translation from Vestn. Mosk. Univ., Ser. XV 1990, No. 1, 27--35 (1990)
Mokin, Yu. I. Estimates of the derivatives of solutions of integral equations of potential theory. (English. Russian original) Zbl 0681.35007 Mosc. Univ. Comput. Math. Cybern. 1988, No. 2, 1-6 (1988); translation from Vestn. Mosk. Univ., Ser. XV 1988, No. 2, 3-8 (1988). Reviewer: V.Ionescu MSC: 35B05 35J25 31A20 45E05 PDFBibTeX XMLCite \textit{Yu. I. Mokin}, Mosc. Univ. Comput. Math. Cybern. 1988, No. 2, 1--6 (1988; Zbl 0681.35007); translation from Vestn. Mosk. Univ., Ser. XV 1988, No. 2, 3--8 (1988)
Chang, Sun-Yung Alice; Yang, Paul C. Prescribing Gaussian curvature on S 2. (English) Zbl 0636.53053 Acta Math. 159, 215-259 (1987). Reviewer: S.A.Chang MSC: 53C20 58E35 45E10 58J90 45C05 PDFBibTeX XMLCite \textit{S.-Y. A. Chang} and \textit{P. C. Yang}, Acta Math. 159, 215--259 (1987; Zbl 0636.53053) Full Text: DOI
Bin, Chuong Minh; Marchokov, I. On the system of equations solving ferro-concrete sloping shells with a double curvature and a rectangular base when the material creep is accounted for. (Bulgarian. English, Russian summaries) Zbl 0626.73066 Teor. Prilozhna Mekh. 1987, No. 4, 66-70 (1987). MSC: 74E30 45K05 74K15 PDFBibTeX XMLCite \textit{C. M. Bin} and \textit{I. Marchokov}, Teor. Prilozhna Mekh. 1987, No. 4, 66--70 (1987; Zbl 0626.73066)
Klimentov, S. B. On a method for the construction of solutions of boundary value problems from the theory of bending of surfaces with positive curvature. (Russian) Zbl 0615.35014 Ukr. Geom. Sb. 29, 56-82 (1986). Reviewer: A.Szybiak MSC: 35F30 53C40 45K05 30G20 35F15 35J45 PDFBibTeX XMLCite \textit{S. B. Klimentov}, Ukr. Geom. Sb. 29, 56--82 (1986; Zbl 0615.35014)
Gavrilenko, V. N.; Kubenko, V. D. Plane problem of rigid body penetration into a compressible fluid. (English. Russian original) Zbl 0588.76128 Sov. Appl. Mech. 21, 345-352 (1985); translation from Prikl. Mekh., Kiev 21, No. 4, 41-49 (1985). MSC: 76N20 70E15 45D05 34A12 PDFBibTeX XMLCite \textit{V. N. Gavrilenko} and \textit{V. D. Kubenko}, Sov. Appl. Mech. 21, 345--352 (1985; Zbl 0588.76128); translation from Prikl. Mekh., Kiev 21, No. 4, 41--49 (1985) Full Text: DOI
Lean, Meng H.; Wexler, A. Accurate numerical integration of singular boundary element kernels over boundaries with curvature. (English) Zbl 0555.65091 Int. J. Numer. Methods Eng. 21, 211-228 (1985). MSC: 65R20 65N35 35C15 45E10 PDFBibTeX XMLCite \textit{M. H. Lean} and \textit{A. Wexler}, Int. J. Numer. Methods Eng. 21, 211--228 (1985; Zbl 0555.65091) Full Text: DOI
Chernous, K. A. Flow of a viscous incompressible fluid under the effect of the forces of surface tension. (Russian) Zbl 0519.76036 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 5, 44-48 (1983). MSC: 76D99 45K05 PDFBibTeX XMLCite \textit{K. A. Chernous}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 5, 44--48 (1983; Zbl 0519.76036)
Bocek, Leo Eine Verschaerfung der Poincaré-Ungleichung. (German) Zbl 0519.52011 Cas. Pěst. Mat. 108, 78-81 (1983). MSC: 52A40 35P15 45A05 PDFBibTeX XMLCite \textit{L. Bocek}, Čas. Pěstování Mat. 108, 78--81 (1983; Zbl 0519.52011) Full Text: EuDML
Inoue, Atsushi; Maeda, Yoshiaki On integral transformations associated with a certain Riemannian metric. (English) Zbl 0516.53045 Proc. Japan Acad., Ser. A 58, 281-283 (1982). MSC: 53C20 58J40 47Gxx 45P05 PDFBibTeX XMLCite \textit{A. Inoue} and \textit{Y. Maeda}, Proc. Japan Acad., Ser. A 58, 281--283 (1982; Zbl 0516.53045) Full Text: DOI
Heinz, Erhard Ein mit der Theorie der Minimalflächen zusammenhängendes Variationsproblem. (German) Zbl 0456.49029 Nachr. Akad. Wiss. Gött., II. Math.-Phys. Kl. 1980, 25-35 (1980). MSC: 49Q05 53A10 45E05 PDFBibTeX XMLCite \textit{E. Heinz}, Nachr. Akad. Wiss. Gött., II. Math.-Phys. Kl. 1980, 25--35 (1980; Zbl 0456.49029)
Almgren, F. J. jun. Minimal surfaces: Tangent cones, singularities, and topological types. (English) Zbl 0433.49016 Proc. int. Congr. Math., Helsinki 1978, Vol. 2, 767-770 (1980). MSC: 49Q20 35Q30 35Q99 45F10 53A10 58E12 PDFBibTeX XML