Gordina, Maria; Cho, Gunhee Diameter theorems on Kähler and quaternionic Kähler manifolds under a positive lower curvature bound. (English) Zbl 07981386 Differ. Geom. Appl. 98, Article ID 102218, 19 p. (2025). MSC: 53C21 58J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tadano, Homare A Souplet-Zhang type gradient estimate for the fast diffusion equation associated with the Witten Laplacian. (English) Zbl 07981382 Differ. Geom. Appl. 98, Article ID 102203, 11 p. (2025). MSC: 53C20 58J35 35B45 35B53 × Cite Format Result Cite Review PDF Full Text: DOI
Kachmar, Ayman; Lotoreichik, Vladimir; Sundqvist, Mikael On the Laplace operator with a weak magnetic field in exterior domains. (English) Zbl 07978617 Anal. Math. Phys. 15, No. 1, Paper No. 5, 33 p. (2025). MSC: 35P15 58J50 34L15 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berkolaiko, Gregory; Canzani, Yaiza; Cox, Graham; Marzuola, Jeremy L. Homology of spectral minimal partitions. (English) Zbl 07976934 J. Lond. Math. Soc., II. Ser. 111, No. 1, Article ID e70065, 25 p. (2025). MSC: 35P05 35B05 55N10 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faikl, Tomáš Spectral analysis of metamaterials in curved manifolds. (English) Zbl 07974045 J. Phys. A, Math. Theor. 58, No. 2, Article ID 025202, 32 p. (2025). MSC: 47-XX 58-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Longa, Eduardo Extremal metrics for the eigenvalues of the Laplacian on manifolds with boundary. (English) Zbl 07965955 J. Geom. Anal. 35, No. 2, Paper No. 57, 15 p. (2025). MSC: 58C40 53C42 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nursultanov, Medet; Trad, William; Tzou, Justin; Tzou, Leo Eigenvalue variations of the Neumann Laplace operator due to perturbed boundary conditions. (English) Zbl 07965247 Res. Math. Sci. 12, No. 1, Paper No. 3, 27 p. (2025). MSC: 35J25 58J05 35P20 35B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Sanghoon Some uniformization problems for a fourth order conformal curvature. (English) Zbl 07965123 J. Funct. Anal. 288, No. 5, Article ID 110791, 34 p. (2025). MSC: 53C20 53C18 35J91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peng, Siyao The existence of optimal solutions for nonlocal partial systems involving fractional Laplace operator with arbitrary growth. (English) Zbl 07963415 Forum Math. 37, No. 1, 159-193 (2025). MSC: 35Q55 35B40 34M15 35J91 35J50 58J70 65F10 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Bradley, Patrick Erik Theta-induced diffusion on Tate elliptic curves over nonarchimedean local fields. (English) Zbl 07961359 Pac. J. Math. 334, No. 1, 13-42 (2025). MSC: 14H52 58J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mitrea, Dorina; Mitrea, Irina; Mitrea, Marius; Taylor, Michael The Hodge-Laplacian. Boundary value problems on Riemannian manifolds (to appear). 2nd revised edition. (English) Zbl 07944184 De Gruyter Studies in Mathematics 64. Berlin: De Gruyter (ISBN 978-3-11-148098-5/hbk; 978-3-11-148140-1/ebook). (2025). MSC: 58-02 58J32 35-02 45B05 35G30 × Cite Format Result Cite Review PDF
Mukherjee, Arka; Tiwari, Sweta On positive solutions of the nonlocal Yamabe type equation in compact Riemannian manifold. (English) Zbl 07941001 J. Math. Anal. Appl. 542, No. 2, Article ID 128808, 28 p. (2025). MSC: 35R11 35B33 35J92 35R01 58J05 × Cite Format Result Cite Review PDF Full Text: DOI
Violo, Ivan Yuri An overview of regularity results for the Laplacian and \(p\)-Laplacian in metric spaces. arXiv:2502.00825 Preprint, arXiv:2502.00825 [math.AP] (2025). MSC: 35B65 35J92 46E36 58J05 × Cite Format Result Cite Full Text: arXiv OA License
Kolaei, Mohammad Javad Habibi Vosta; Azami, Shahroud Conformal bounds for the first eigenvalue of the \((p,q)\)-Laplacian system. (English) Zbl 07973541 Tamkang J. Math. 55, No. 4, 371-389 (2024). MSC: 53C21 58C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azami, Shahroud; Abolarinwa, Abimbola Evolution of first eigenvalues of some geometric operators under the rescaled List’s extended Ricci flow. (English) Zbl 07971536 Rev. Unión Mat. Argent. 67, No. 2, 529-543 (2024). Reviewer: Emilio A. Lauret (Bahía Blanca) MSC: 53E20 53C21 58C40 × Cite Format Result Cite Review PDF Full Text: DOI
Doll, Moritz; Fedosova, Ksenia; Pohl, Anke Counting resonances on hyperbolic surfaces with unitary twists. (English) Zbl 07966004 Commun. Anal. Geom. 32, No. 10, 2805-2887 (2024). Reviewer: Emilio A. Lauret (Bahía Blanca) MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Steinerberger, Stefan Local sign changes of polynomials. (English) Zbl 07965871 J. Anal. Math. 154, No. 1, 255-273 (2024). MSC: 42A05 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hogg, Joseph; Nguyen, Luc Existence and uniqueness for the non-compact Yamabe problem of negative curvature type. (English) Zbl 07959281 Anal. Theory Appl. 40, No. 1, 57-91 (2024). MSC: 35J91 53C18 53C25 58J32 58J90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jung, Junehyuk; Zelditch, Steve 2-nodal domain theorems for higher-dimensional circle bundles. (English) Zbl 07957799 J. Spectr. Theory 14, No. 4, 1451-1474 (2024). MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krejčiřík, David; Lotoreichik, Vladimir Quasi-conical domains with embedded eigenvalues. (English) Zbl 07950050 Bull. Lond. Math. Soc. 56, No. 9, 2969-2981 (2024). MSC: 35P05 35P15 35J25 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arkhipova, N. A.; Stepanov, S. E. Two kernel vanishing theorems and an estimation theorem for the smallest eigenvalue of the Hodge-de Rham Laplacian. (English) Zbl 07947719 Differ. Geom. Mnogoobr. Figur 55, No. 2, 37-46 (2024). MSC: 53C21 58J50 × Cite Format Result Cite Review PDF Full Text: DOI
Asta, Dena Marie Non-parametric manifold learning. (English) Zbl 07941329 Electron. J. Stat. 18, No. 2, 3903-3930 (2024). MSC: 62G05 62R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Brovkin, V. V. On the solvability of the Neumann boundary value problem for the \(p\)-Laplacian on manifolds with a model end. (English. Russian original) Zbl 07938314 Mosc. Univ. Math. Bull. 79, No. 3, 103-111 (2024); translation from Vestn. Mosk. Univ., Ser. I 79, No. 3, 3-10 (2024). MSC: 53C21 58J32 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Kepplinger, Willi On spectral simplicity of the Hodge Laplacian and curl operator along paths of metrics. (English) Zbl 07935722 Trans. Am. Math. Soc. 377, No. 11, 7829-7845 (2024). MSC: 58J50 35P99 35B38 58A14 47A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lü, Ying; Wang, Peng; Xie, Zhenxiao Classification of minimal immersions of conformally flat 3-tori and 4-tori into spheres by the first eigenfunctions. (English) Zbl 07932357 Math. Ann. 390, No. 2, 2235-2280 (2024). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C42 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aino, Masayuki Convergence of Laplacian eigenmaps and its rate for submanifolds with singularities. (English) Zbl 07931813 Discrete Comput. Geom. 72, No. 3, 1086-1168 (2024). Reviewer: Dorin Andrica (Cluj Napoca) MSC: 58C40 58J50 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kupferman, Raz; Leder, Roee Double forms: regular elliptic bilaplacian operators. (English) Zbl 07930024 J. Anal. Math. 153, No. 2, 683-758 (2024). MSC: 35J40 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xia, Chao; Xiong, Changwei Escobar’s conjecture on a sharp lower bound for the first nonzero Steklov eigenvalue. (English) Zbl 07923292 Peking Math. J. 7, No. 2, 759-778 (2024). MSC: 35P15 35J25 35P20 47A75 49R05 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tang, Zhongwei; Wang, Heming; Zhou, Ning Existence and density results of conformal metrics with prescribed higher order \(Q\)-curvature on \(\mathbb{S}^n\). (English) Zbl 07922723 Differ. Geom. Appl. 96, Article ID 102172, 37 p. (2024). MSC: 53C18 35B38 35B44 35J91 × Cite Format Result Cite Review PDF Full Text: DOI
Letrouit, Cyril; Machado, Simon Maximal multiplicity of Laplacian eigenvalues in negatively curved surfaces. (English) Zbl 07921927 Geom. Funct. Anal. 34, No. 5, 1609-1645 (2024). Reviewer: Claude Zuily (Orsay) MSC: 58J05 53C21 35J05 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sürig, Philipp Sharp sub-Gaussian upper bounds for subsolutions of Trudinger’s equation on Riemannian manifolds. (English) Zbl 1548.35154 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 249, Article ID 113641, 19 p. (2024). MSC: 35K55 35K92 58J35 35B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anné, Colette; Takahashi, Junya Small eigenvalues of the rough and Hodge Laplacians under fixed volume. (English. French summary) Zbl 07915641 Ann. Fac. Sci. Toulouse, Math. (6) 33, No. 1, 123-151 (2024). Reviewer: Paul F. Bracken (Edinburg) MSC: 58J50 35P15 53C21 58C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Souza, Manassés; de Oliveira Sousa, Nadiel On a class of Hardy-Sobolev critical quasilinear elliptic systems on compact Riemannian manifolds. (English) Zbl 1547.35268 J. Math. Anal. Appl. 540, No. 1, Article ID 128581, 35 p. (2024). MSC: 35J47 35J92 58J05 35A01 35A15 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Pengyan; Chang, Huiting Some Hardy and Rellich type inequalities for affine connections. (English) Zbl 07914982 J. Pseudo-Differ. Oper. Appl. 15, No. 3, Paper No. 67, 44 p. (2024). MSC: 26D10 58J05 53B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Nanbo; Liang, Honghong; Huang, Zhihua; Liu, Xiaochun Hardy-Sobolev equation with negative power and sign-changing nonlinearity on closed manifolds. (English) Zbl 1547.35360 J. Pseudo-Differ. Oper. Appl. 15, No. 3, Paper No. 58, 27 p. (2024). MSC: 35J91 35J15 58J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Abolarinwa, Abimbola Some gradient estimates for nonlinear heat-type equations on smooth metric measure spaces with compact boundary. (English) Zbl 1544.58007 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 53, 54 p. (2024). MSC: 58J35 53C21 35B45 35R45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alluhaibi, Nadia; Ali, Akram The eigenvalue estimates of \(p\)-Laplacian of totally real submanifolds in generalized complex space forms. (English) Zbl 1546.58008 Ric. Mat. 73, No. 3, 1307-1321 (2024). MSC: 58C40 53C42 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Charles, Laurent On the spectrum of nondegenerate magnetic Laplacians. (English) Zbl 1547.35477 Anal. PDE 17, No. 6, 1907-1952 (2024). MSC: 35P20 35Q40 58J20 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taubes, C. H.; Wu, Y. Topological aspects of \(\mathbb{Z} / 2 \mathbb{Z}\) eigenfunctions for the Laplacian on \(S^2\). (English) Zbl 07902290 J. Differ. Geom. 128, No. 1, 379-462 (2024). Reviewer: Hideo Nakazawa (Tōkyō) MSC: 58J50 58J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Gittins, Katie; Gordon, Carolyn; Khalile, Magda; Membrillo Solis, Ingrid; Sandoval, Mary; Stanhope, Elizabeth Do the Hodge spectra distinguish orbifolds from manifolds? I. (English) Zbl 1547.58015 Mich. Math. J. 74, No. 3, 571-598 (2024). Reviewer: Emilio A. Lauret (Bahía Blanca) MSC: 58J53 53C20 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Papageorgiou, Effie Large-time behavior of two families of operators related to the fractional Laplacian on certain Riemannian manifolds. (English) Zbl 07896857 Potential Anal. 61, No. 2, 263-287 (2024). MSC: 47-XX 35R11 35B40 35K05 58J65 58J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Charles, Laurent Landau levels on a compact manifold. (Niveaux de Landau sur une variété compacte.) (English. French summary) Zbl 1545.35035 Ann. Henri Lebesgue 7, 69-121 (2024). MSC: 35J05 58J05 35P05 47L80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kröncke, Klaus; Szabó, Áron Optimal coordinates for Ricci-flat conifolds. (English) Zbl 07892755 Calc. Var. Partial Differ. Equ. 63, No. 7, Paper No. 188, 41 p. (2024). Reviewer: Özgür Kelekçi (Ankara) MSC: 58J50 58C40 53C20 53C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marinescu, George; Savale, Nikhil Bochner Laplacian and Bergman kernel expansion of semipositive line bundles on a Riemann surface. (English) Zbl 1547.58012 Math. Ann. 389, No. 4, 4083-4124 (2024). Reviewer: Xiaojun Wu (Nice) MSC: 58J50 58C40 53C17 53C21 32L05 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Branding, Volker; Habib, Georges Eigenvalue estimates on weighted manifolds. (English) Zbl 1544.35113 Result. Math. 79, No. 5, Paper No. 187, 36 p. (2024). MSC: 35P15 53C42 58J05 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsougkas, Konstantinos A connection between discrete and regularized Laplacian determinants on fractals. (English) Zbl 07881352 J. Phys. A, Math. Theor. 57, No. 28, Article ID 285207, 19 p. (2024). MSC: 28A80 81Q35 11M36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishida, Masashi Logarithmic Sobolev inequalities, Gaussian upper bounds for the heat kernel, and the \(\mathrm{G}_2\)-Laplacian flow. (English) Zbl 1546.53030 J. Geom. Anal. 34, No. 9, Paper No. 285, 57 p. (2024). MSC: 53C10 53C29 58J35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jie Lower bound estimate on the first eigenvalue of \(V\)-Laplacian. (English) Zbl 1542.35264 Kodai Math. J. 47, No. 2, 125-136 (2024). MSC: 35P15 53C26 58J05 58J50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gong, Yulin Spectral distribution of twisted Laplacian on typical hyperbolic surfaces of high genus. (English) Zbl 1542.58013 Commun. Math. Phys. 405, No. 7, Paper No. 158, 41 p. (2024). MSC: 58J50 11F72 53C22 32G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bello, Diana Carolina Suarez; Verri, Alessandra A. Spectral analysis in broken sheared waveguides. (English) Zbl 1547.49038 Math. Methods Appl. Sci. 47, No. 7, 6172-6183 (2024). MSC: 49R05 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Daowen; Ma, Xi-Nan Liouville type theorem for a class quasilinear \(p\)-Laplace type equation on the sphere. (English) Zbl 07867534 Math. Ann. 389, No. 3, 2273-2287 (2024). MSC: 35B53 35J92 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Castro, Alfonso; Cossio, Jorge; Herrón, Sigifredo; Vélez, Carlos Shooting from singularity to singularity and a quasilinear \(p\)-Laplace-Beltrami equation with indefinite weight. (English) Zbl 1545.35057 Discrete Contin. Dyn. Syst., Ser. S 17, No. 5-6, 2186-2207 (2024). Reviewer: Marius Ghergu (Dublin) MSC: 35J92 58J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Mesmar, Hussein; Robert, Frédéric Concentration analysis for elliptic critical equations with no boundary control: ground-state blow-up. (English) Zbl 1541.35251 Discrete Contin. Dyn. Syst., Ser. S 17, No. 4, 1599-1620 (2024). MSC: 35J91 35J05 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taheri, Ali; Vahidifar, Vahideh Curvature conditions, Liouville-type theorems and Harnack inequalities for a nonlinear parabolic equation on smooth metric measure spaces. (English) Zbl 07857774 Adv. Nonlinear Stud. 24, No. 3, 553-591 (2024). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 58J35 53C21 35A23 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Yunfeng Analysis on compact symmetric spaces: eigenfunctions and nonlinear Schrödinger equations. (English) Zbl 1541.35472 Cardona, Duván (ed.) et al., Extended abstracts 2021/2022. Methusalem lectures, Ghent, Belgium. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 3, 235-240 (2024). MSC: 35Q55 35Q41 43A85 43A90 58J05 22E30 35B65 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yunhui; Zhang, Haohao; Zhu, Xuwen Degenerating hyperbolic surfaces and spectral gaps for large genus. (English) Zbl 1545.30005 Anal. PDE 17, No. 4, 1377-1395 (2024). MSC: 30F10 58J05 35J05 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lopes, Pedro T. P.; Roidos, Nikolaos Existence of global attractors and convergence of solutions for the Cahn-Hilliard equation on manifolds with conical singularities. (English) Zbl 1541.35085 J. Math. Anal. Appl. 531, No. 2, Part 2, Article ID 127851, 25 p. (2024). MSC: 35B41 35K30 35K58 35R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; Federico, Serena; Ruzhansky, Michael Subelliptic sharp Gårding inequality on compact Lie groups. (English) Zbl 1544.35215 Pure Appl. Anal. 6, No. 2, 455-485 (2024). Reviewer: Do Ngoc Diep (Hà Nội) MSC: 35S05 22E30 58J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
dos Santos, Fábio R.; Soares, Matheus N. A Reilly type integral inequality for the \(p\)-Laplacian and applications to submanifolds of the unit sphere. (English) Zbl 1537.53017 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 2, Paper No. 65, 13 p. (2024). MSC: 53C20 53B20 51M16 58J50 × Cite Format Result Cite Review PDF Full Text: DOI
Rosen, Eitan; Hoyos, Paulina; Cheng, Xiuyuan; Kileel, Joe; Shkolnisky, Yoel The \(G\)-invariant graph Laplacian. I: Convergence rate and eigendecomposition. (English) Zbl 07844322 Appl. Comput. Harmon. Anal. 71, Article ID 101637, 35 p. (2024). MSC: 68-XX 58-XX × Cite Format Result Cite Review PDF Full Text: DOI
Dumitru, Dan Some remarks on the existence of compact multiply Einstein warped products. (English) Zbl 1536.53105 Int. J. Geom. Methods Mod. Phys. 21, No. 2, Article ID 2450047, 10 p. (2024). MSC: 53C25 53C15 × Cite Format Result Cite Review PDF Full Text: DOI
Fino, Anna; Raffero, Alberto On the existence of homogeneous solitons of gradient type for the \(\mathrm{G}_2\)-Laplacian flow. (English) Zbl 1545.53022 Proc. Am. Math. Soc. 152, No. 5, 2199-2204 (2024). Reviewer: Lothar Schiemanowski (Kiel) MSC: 53C10 53C07 53C29 53C30 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papageorgiou, Effie Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. (English) Zbl 1544.22010 J. Evol. Equ. 24, No. 2, Paper No. 34, 42 p. (2024). Reviewer: Antonio Vitolo (Fisciano) MSC: 22E30 35B40 35R01 58J47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mograby, Gamal; Balu, Radhakrishnan; Okoudjou, Kasso A.; Teplyaev, Alexander Quantitative approach to Grover’s quantum walk on graphs. (English) Zbl 1542.81127 Quantum Inf. Process. 23, No. 1, Paper No. 27, 18 p. (2024). MSC: 81P45 05C22 81Q10 81Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hassannezhad, Asma; Sher, David On Pleijel’s nodal domain theorem for the Robin problem. (English) Zbl 1540.35269 Bull. Lond. Math. Soc. 56, No. 4, 1449-1467 (2024). MSC: 35P15 35J25 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barletta, Giuseppina; Cianchi, Andrea; Maz’ya, Vladimir Bounds for eigenfunctions of the Neumann \(p\)-Laplacian on noncompact Riemannian manifolds. (English) Zbl 1536.58020 Adv. Calc. Var. 17, No. 2, 319-352 (2024). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J50 35B45 35P30 × Cite Format Result Cite Review PDF Full Text: DOI
Taheri, Ali; Vahidifar, Vahideh Hamilton and Li-Yau type gradient estimates for a weighted nonlinear parabolic equation under a super Perelman-Ricci flow. (English) Zbl 1534.53084 SN Partial Differ. Equ. Appl. 5, No. 1, Paper No. 1, 38 p. (2024). MSC: 53E20 58J60 58J35 58J05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Kui; Zhang, Shaoheng Lower bounds for the first eigenvalue of the \(p\)-Laplacian on quaternionic Kähler manifolds. (English) Zbl 1536.35233 J. Geom. Anal. 34, No. 5, Paper No. 123, 19 p. (2024). MSC: 35P30 35J92 35P15 35R01 53C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bisterzo, Andrea; Farina, Alberto; Pigola, Stefano \(L^p_{loc}\) positivity preservation and Liouville-type theorems. (English) Zbl 1537.35162 J. Geom. Anal. 34, No. 4, Paper No. 117, 19 p. (2024). MSC: 35J05 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Siqi; Jacobowitz, Howard; Zhu, Weixia Spectral stability of the Kohn Laplacian under perturbations of the boundary. (English) Zbl 1537.32139 J. Math. Anal. Appl. 535, No. 2, Article ID 128129, 18 p. (2024). MSC: 32W10 32V20 × Cite Format Result Cite Review PDF Full Text: DOI
Benslimane, Omar; Aberqi, Ahmed Singular two-phase problem on a complete manifold: analysis and insights. (English) Zbl 1534.35210 Arab. J. Math. 13, No. 1, 45-62 (2024). MSC: 35J92 58J05 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Ho, Pak Tung; Pyo, Juncheol First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow. (English) Zbl 1534.58007 Differ. Geom. Appl. 93, Article ID 102095, 8 p. (2024). MSC: 58C40 53E10 × Cite Format Result Cite Review PDF Full Text: DOI
Gou, Tianxiang; Rădulescu, Vicenţiu D. Non-autonomous double phase eigenvalue problems with indefinite weight and lack of compactness. (English) Zbl 1539.35153 Bull. Lond. Math. Soc. 56, No. 2, 734-755 (2024). Reviewer: Qin Dongdong (Changsha) MSC: 35P30 35J70 35J92 46E30 47J10 58C40 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Casiday, Beata; Contreras, Ivan; Meyer, Thomas; Mi, Sabrina; Spingarn, Ethan Laplace and Dirac operators on graphs. (English) Zbl 1533.05151 Linear Multilinear Algebra 72, No. 2, 325-365 (2024). MSC: 05C50 05C10 05C90 81Q05 81Q35 15A67 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Ling; Song, XingYu; Zhu, Meng Eigenvalue estimates for Beltrami-Laplacian under Bakry-Émery Ricci curvature condition. (English) Zbl 1534.58009 Potential Anal. 60, No. 2, 597-614 (2024). Reviewer: Emilio A. Lauret (Bahía Blanca) MSC: 58C40 53C25 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Jie; Wang, Youde; Wei, Guodong Gradient estimate for solutions of the equation \(\Delta_p v +av^q=0\) on a complete Riemannian manifold. (English) Zbl 1533.35184 Math. Z. 306, No. 3, Paper No. 42, 19 p. (2024). MSC: 35J92 58J05 35B53 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Pengyan; Chang, Huiting Weighted Sobolev type inequalities in a smooth metric measure space. (English) Zbl 1532.53067 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 5, 23 p. (2024). MSC: 53C21 53C23 58J32 × Cite Format Result Cite Review PDF Full Text: DOI
Funano, Kei A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space. (English) Zbl 1533.35220 Can. Math. Bull. 67, No. 1, 222-226 (2024). MSC: 35P15 35J25 53C23 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berkolaiko, Gregory; Colin de Verdière, Yves Exotic eigenvalues of shrinking metric graphs. (English) Zbl 1540.81057 J. Math. Anal. Appl. 534, No. 1, Article ID 128040, 9 p. (2024). MSC: 81Q35 03C66 35P20 81Q15 35B20 35J91 05C69 47A11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Guangyue; Guo, Qi; Guo, Lujun Gradient estimates for positive weak solution to \(\Delta_p u + au^\sigma = 0\) on Riemannian manifolds. (English) Zbl 1532.58010 J. Math. Anal. Appl. 533, No. 2, Article ID 128007, 16 p. (2024). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J05 35B09 35J92 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grigor’yan, Alexander; Sürig, Philipp Volume growth and on-diagonal heat kernel bounds on Riemannian manifolds with an end. (English) Zbl 1537.58009 Potential Anal. 60, No. 1, 45-77 (2024). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 58J35 60J65 31B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alías, Luis J.; Colombo, Giulio; Rigoli, Marco Growth of subsolutions of \(\Delta_p u = V|u|^{p-2} u\) and of a general class of quasilinear equations. (English) Zbl 1534.35172 J. Geom. Anal. 34, No. 2, Paper No. 44, 42 p. (2024). MSC: 35J62 35J70 35J92 58J05 35B53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ilyin, Alexei; Laptev, Ari; Weinmann, Timon Lieb-Thirring inequalities on manifolds with constant negative curvature. (English) Zbl 1531.35196 J. Geom. Anal. 34, No. 2, Paper No. 62, 17 p. (2024). MSC: 35P15 58J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gigli, Nicola; Mondino, Andrea; Semola, Daniele On the notion of Laplacian bounds on \(\operatorname{RCD}\) spaces and applications. (English) Zbl 1535.53042 Proc. Am. Math. Soc. 152, No. 2, 829-841 (2024). Reviewer: Joe Thomas (Durham) MSC: 53C23 58J90 58J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barilari, Davide; Habermann, Karen Intrinsic sub-Laplacian for hypersurface in a contact sub-Riemannian manifold. (English) Zbl 1528.53032 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 1, Paper No. 3, 31 p. (2024). Reviewer: Feng-Yu Wang (Tianjin) MSC: 53C17 53B25 58J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rey, Carolina Ana; Saintier, Nicolas Non-local equations and optimal Sobolev inequalities on compact manifolds. (English) Zbl 1527.35454 J. Geom. Anal. 34, No. 1, Paper No. 17, 33 p. (2024). MSC: 35R01 35A15 35A23 35R11 46E35 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Xianchao Non-concentration of Schrödinger eigenfunctions along hypersurfaces. (English) Zbl 1526.58010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 238, Article ID 113390, 8 p. (2024). MSC: 58J50 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Benci, Vieri; Corona, Dario; Nardulli, Stefano; Osorio Acevedo, Luis Eduardo; Piccione, Paolo Corrigendum to: “Lusternik-Schnirelman and Morse theory for the Van der Waals-Cahn-Hilliard equation with volume constraint”. (English) Zbl 1526.35182 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 238, Article ID 113389, 9 p. (2024). MSC: 35J91 58J05 35A01 35J20 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Díaz, Jesús Ildefonso; Podolskiy, Alexander Vadimovich; Shaposhnikova, Tatiana Ardolionovna Unexpected regionally negative solutions of the homogenization of Poisson equation with dynamic unilateral boundary conditions: critical symmetric particles. (English) Zbl 1526.35030 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 9, 19 p. (2024). MSC: 35B27 35K57 35K91 35R01 47B44 × Cite Format Result Cite Review PDF Full Text: DOI
McCann, Robert J. Trading linearity for ellipticity: a nonsmooth approach to Einstein’s theory of gravity and the Lorentzian splitting theorems. arXiv:2501.00702 Preprint, arXiv:2501.00702 [math-ph] (2024). MSC: 83C75 35J92 49Q22 51K10 53C50 58J05 × Cite Format Result Cite Full Text: arXiv OA License
Sürig, Philipp Finite extinction time for subsolutions of the weighted Leibenson equation on Riemannian manifolds. arXiv:2412.06496 Preprint, arXiv:2412.06496 [math.AP] (2024). MSC: 35K55 58J35 35K92 × Cite Format Result Cite Full Text: arXiv OA License
He, Jie; Sun, Linlin; Wang, Youde Optimal Liouville theorems for the Lane-Emden equation on Riemannian manifolds. arXiv:2411.06956 Preprint, arXiv:2411.06956 [math.AP] (2024). MSC: 58J05 35B53 35J92 35B45 35B08 35B09 × Cite Format Result Cite Full Text: arXiv
Braun, Mathias; Gigli, Nicola; McCann, Robert J.; Ohanyan, Argam; Sämann, Clemens An elliptic proof of the splitting theorems from Lorentzian geometry. arXiv:2410.12632 Preprint, arXiv:2410.12632 [math.DG] (2024). MSC: 83C75 35J92 35Q75 49Q22 51K10 53C21 53C50 58J05 × Cite Format Result Cite Full Text: arXiv
Hauer, Daniel; Sikora, Adam Regularity and Separation for \(p\)-Laplace operators. arXiv:2401.13381 Preprint, arXiv:2401.13381 [math.AP] (2024). MSC: 58J35 47H06 47H20 47H06 35J92 × Cite Format Result Cite Full Text: arXiv
Ghomari, Tewfik; Maliki, Youssef Some existence results for a generalization of the prescribed scalar curvature equation on compact manifolds. (English) Zbl 07955582 Asian-Eur. J. Math. 16, No. 6, Article ID 2350112, 16 p. (2023). MSC: 58J05 53A10 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Caiyun; Yin, Songting Eigenfunctions in Finsler Gaussian solitons. (English) Zbl 1547.53088 Open Math. 21, Article ID 20230167, 10 p. (2023). MSC: 53C60 58C40 58J50 × Cite Format Result Cite Review PDF Full Text: DOI
Hajiaghasi, Sakineh; Azami, Shahroud The lower bounds for the first eigenvalues of the \((p, q)\)-Laplacian on Finsler manifolds. (English) Zbl 07860974 Honam Math. J. 45, No. 1, 82-91 (2023). MSC: 58C40 58J50 58J60 × Cite Format Result Cite Review PDF Full Text: DOI
Egidi, Michela; Gittins, Katie; Habib, Georges; Peyerimhoff, Norbert Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms. (English) Zbl 1543.58003 J. Spectr. Theory 13, No. 4, 1297-1343 (2023). Reviewer: Simona Druta-Romaniuc (Iaşi) MSC: 58A10 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Valero, Carlos A uniqueness result for the Calderón problem for \(U(N)\)-connections coupled to spinors. (English) Zbl 1546.53048 J. Spectr. Theory 13, No. 4, 1145-1171 (2023). Reviewer: Robert Yuncken (Metz) MSC: 53C27 35R01 35R30 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakiev, S. M.; Kon’kov, A. A. On the existence of solutions of the Dirichlet problem for the \(p\)-Laplacian on Riemannian manifolds. (English. Russian original) Zbl 1535.35094 Math. Notes 114, No. 5, 679-686 (2023); translation from Mat. Zametki 114, No. 5, 659-668 (2023). MSC: 35J92 35J25 58J05 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv