Jelbart, S.; Kuehn, C. A formal geometric blow-up method for pattern forming systems. (English) Zbl 07936186 Engel, Maximilian (ed.) et al., Topics in multiple time scale dynamics. Workshop, Banff International Research Station, Banff, Alberta, Canada, November 27 – December 2, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 806, 49-86 (2024). MSC: 35B25 35B32 35B36 35Q56 37G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yao, Jinhui; Huang, Jicai; Wang, Hao Relaxation oscillation, homoclinic orbit and limit cycles in a piecewise smooth predator-prey model. (English) Zbl 07931972 Qual. Theory Dyn. Syst. 23, Suppl. Issue 1, Paper No. 289, 17 p. (2024). MSC: 34C60 92D25 34C05 34C26 34C37 34E15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jiemei; Wang, Liyuan Bounded and blow-up solutions of \(k\)-Hessian system with augmented terms. (English) Zbl 07924367 J. Appl. Anal. Comput. 14, No. 6, 3197-3213 (2024). MSC: 37G05 37G10 34K18 × Cite Format Result Cite Review PDF Full Text: DOI
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
Llibre, Jaume; Rondón, Gabriel Global centers of a class of cubic polynomial differential systems. (English) Zbl 07905951 Rend. Circ. Mat. Palermo (2) 73, No. 5, 2141-2160 (2024). MSC: 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koike, Takayuki \( \overline{\partial}\) cohomology of the complement of a semi-positive anticanonical divisor of a compact surface. (English) Zbl 07901567 Math. Z. 308, No. 2, Paper No. 22, 31 p. (2024). MSC: 32C35 32W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian; Steinert, Maximilian The hyperbolic umbilic singularity in fast-slow systems. (English) Zbl 07900891 Nonlinearity 37, No. 9, Article ID 095036, 64 p. (2024). MSC: 34E15 34C05 34A26 58K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kang, Jin-Cai; Tang, Chun-Lei Normalized solutions for the nonlinear Schrödinger equation with potential and combined nonlinearities. (English) Zbl 1545.35180 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 246, Article ID 113581, 29 p. (2024). MSC: 35Q55 35Q41 35J20 35B38 35B35 35B44 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hamano, Masaru; Ikeda, Masahiro; Inui, Takahisa; Shimizu, Ikkei Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph. (English) Zbl 1541.35456 SN Partial Differ. Equ. Appl. 5, No. 1, Paper No. 4, 36 p. (2024). MSC: 35Q55 35Q41 35B40 35B44 35B38 35R02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Minh, Tran Quang; Pham, Hong-Danh; Freitas, Mirelson M. A class of fourth-order dispersive wave equations with exponential source. (English) Zbl 1539.35144 Calc. Var. Partial Differ. Equ. 63, No. 5, Paper No. 127, 31 p. (2024). MSC: 35L35 35B38 35B40 35B44 35L76 × Cite Format Result Cite Review PDF Full Text: DOI
Esposito, Pierpaolo; Malchiodi, Andrea Critical metrics for log-determinant functionals in conformal geometry. (English) Zbl 1536.35053 J. Differ. Geom. 126, No. 1, 99-168 (2024). MSC: 35B38 35A08 35B44 35G20 35J35 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Jelbart, S.; Kuehn, C.; Kuntz, S.-V. Geometric blow-up for folded limit cycle manifolds in three time-scale systems. (English) Zbl 1537.34074 J. Nonlinear Sci. 34, No. 1, Paper No. 17, 68 p. (2024). Reviewer: Nikola Popovic (Edinburgh) MSC: 34E13 34E10 34E15 34E20 34C45 34C27 34C05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferčec, Brigita; Žulj, Maja; Giné, Jaume Blow-up method for linearizability of resonant differential systems. (English) Zbl 1543.34026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 8, Article ID 2350100, 17 p. (2023). Reviewer: Hao Wu (Nanjing) MSC: 34C05 34C20 70K28 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Koike, Takayuki Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points. (English. French summary) Zbl 1528.32023 Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 2, 231-285 (2023). MSC: 32J25 14C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Hebai; Zhang, Rui; Zhang, Xiang Dynamics of polynomial Rayleigh-Duffing system near infinity and its global phase portraits with a center. (English) Zbl 1531.34044 Adv. Math. 433, Article ID 109326, 37 p. (2023). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C25 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Bian, Shen; Wang, Quan; Li, Jing Critical mass capacity for two-dimensional Keller-Segel model with nonlocal reaction terms. (English) Zbl 1533.35037 Nonlinearity 36, No. 10, 5568-5608 (2023). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B44 35B38 35K59 65M06 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Hsu, Shu-Yu Asymptotic behaviour of blow-up solutions of the fast diffusion equation. (English) Zbl 1522.35318 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 6, Paper No. 71, 31 p. (2023). MSC: 35K65 35B40 35B44 35B51 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giesselmann, Jan; Mäder-Baumdicker, Elena; Stonner, David Jakob A posteriori error estimates for wave maps into spheres. (English) Zbl 07723895 Adv. Comput. Math. 49, No. 4, Paper No. 54, 31 p. (2023). MSC: 65M06 65N06 65M12 35D30 35B38 35R01 65M15 35B44 35L71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yan; Tang, Zhongwei; Zhou, Ning On a fractional Nirenberg problem involving the square root of the Laplacian on \(\mathbb{S}^3\). (English) Zbl 1516.35468 J. Geom. Anal. 33, No. 7, Paper No. 227, 52 p. (2023). MSC: 35R11 35B38 35B44 35J20 35J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sugie, Jitsuro Global-in-time existence of unbounded separatrices and blow-up time of solutions for Liénard systems whose restoring force is an odd power function. (English) Zbl 1520.34026 J. Differ. Equations 361, 219-247 (2023). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C11 34C37 34B30 × Cite Format Result Cite Review PDF Full Text: DOI
Khaldi, Aya; Ouaoua, Amar; Maouni, Messaoud Blow-up of solutions for wave equation with multiple \(\alpha(x)\)-Laplacian and variable exponent nonlinearities. (English) Zbl 1512.35119 Turk. J. Math. 47, No. 3, SI-1, 1039-1050 (2023). MSC: 35B44 35B38 35L20 35L72 × Cite Format Result Cite Review PDF Full Text: DOI
Bounaama, Abir; Maouni, Messaoud; Ouaoua, Amar On the existence, decay and blowup of solutions for a quasilinear hyperbolic equations involving the weighted \(p\)-Laplacian with source terms. (English) Zbl 1509.35068 Mediterr. J. Math. 20, No. 2, Paper No. 78, 16 p. (2023). MSC: 35B44 35B38 35L20 35L72 × Cite Format Result Cite Review PDF Full Text: DOI
Ichida, Yu Traveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity. (English) Zbl 1504.34066 Electron. J. Differ. Equ. 2023, Paper No. 05, 20 p. (2023). MSC: 34C05 34C08 35B40 35C07 35L81 74H35 × Cite Format Result Cite Review PDF Full Text: Link
Alexander, Christopher; Hadžić, Mahir; Schrecker, Matthew Supersonic Gravitational Collapse for Non-Isentropic Gaseous Stars. arXiv:2311.18795 Preprint, arXiv:2311.18795 [math.AP] (2023). MSC: 35Q85 35B44 34C05 × Cite Format Result Cite Full Text: arXiv
Savin, Ovidiu; Yu, Hui Half-space solutions with \(7/2\) frequency in the thin obstacle problem. (English) Zbl 1517.35272 Arch. Ration. Mech. Anal. 246, No. 2-3, 397-474 (2022). Reviewer: Wenhui Shi (Clayton) MSC: 35R35 35B65 35J86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahmedou, Mohameden; Ayed, Mohamed Ben Non simple blow ups for the Nirenberg problem on half spheres. (English) Zbl 1502.35004 Discrete Contin. Dyn. Syst. 42, No. 12, 5967-6005 (2022). MSC: 35A15 35J20 35R01 58J05 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koike, Takayuki; Uehara, Takato A gluing construction of projective \(K3\) surfaces. (English) Zbl 1534.14037 Épijournal de Géom. Algébr., EPIGA 6, Article 12, 15 p. (2022). MSC: 14J28 32G05 × Cite Format Result Cite Review PDF Full Text: arXiv
Jelbart, S.; Kristiansen, K. U.; Szmolyan, P.; Wechselberger, M. Singularly perturbed oscillators with exponential nonlinearities. (English) Zbl 1505.34087 J. Dyn. Differ. Equations 34, No. 3, 1823-1875 (2022). MSC: 34E15 34C15 34C05 34C26 34C20 34A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jeanjean, Louis; Le, Thanh Trung Multiple normalized solutions for a Sobolev critical Schrödinger equation. (English) Zbl 1497.35433 Math. Ann. 384, No. 1-2, 101-134 (2022). MSC: 35Q55 35Q41 35B35 35B38 35B44 35A01 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karaca, Yeliz Global attractivity, asymptotic stability and blow-up points for nonlinear functional-integral equations’ solutions and applications in Banach space \(BC( R_+)\) with computational complexity. (English) Zbl 1496.45006 Fractals 30, No. 5, Article ID 2240188, 22 p. (2022). MSC: 45G15 45N05 45M05 45M10 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhong, Liyan; Shen, Jianhe Degenerate transcritical bifurcation point can be an attractor: a case study in a slow-fast modified Leslie-Gower model. (English) Zbl 1502.34067 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 76, 11 p. (2022). Reviewer: Iliya Iliev (Sofia) MSC: 34E15 34C05 34C23 34D45 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Huzak, Renato Cyclicity of canard cycles with hyperbolic saddles located away from the critical curve. (English) Zbl 1493.34163 J. Differ. Equations 320, 479-509 (2022). MSC: 34E17 34C07 34C23 34C05 34E15 34C26 34E20 × Cite Format Result Cite Review PDF Full Text: DOI
Dai, Mimi; Friedlander, Susan Dyadic models for ideal MHD. (English) Zbl 1490.35306 J. Math. Fluid Mech. 24, No. 1, Paper No. 21, 18 p. (2022). MSC: 35Q35 76B03 76W05 76B25 35D30 35B44 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Engel, Maximilian; Kuehn, Christian; Petrera, Matteo; Suris, Yuri Discretized fast-slow systems with canards in two dimensions. (English) Zbl 1484.39016 J. Nonlinear Sci. 32, No. 2, Paper No. 19, 41 p. (2022). Reviewer: Jörg Härterich (Bochum) MSC: 39A28 39A12 34E15 34E20 37M15 37M20 37M21 37G10 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Maesschalck, Peter; Dumortier, Freddy; Roussarie, Robert Canard cycles. From birth to transition. (English) Zbl 1515.34002 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 73. Cham: Springer (ISBN 978-3-030-79232-9/hbk; 978-3-030-79235-0/pbk; 978-3-030-79233-6/ebook). xxi, 408 p. (2022). Reviewer: Nikola Popovic (Edinburgh) MSC: 34-02 34C05 34E17 34E15 34C26 34A26 34C45 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Jardón-Kojakhmetov, Hildeberto; Kuehn, Christian A survey on the blow-up method for fast-slow systems. (English) Zbl 1506.34003 Galaz-García, Fernando (ed.) et al., Mexican mathematicians in the world. Trends and recent contributions. IV meeting. Reunión de matemáticos mexicanos en el mundo, Casa Matemática Oaxaca, Oaxaca, Mexico, June 10–15, 2018. Providence, RI: American Mathematical Society (AMS); México: Sociedad Matemática Mexicana. Contemp. Math. 775, 115-160 (2021). MSC: 34-02 34E15 34C05 34E17 34A26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Christopher, Colin; Giné, Jaume Analytic integrability of certain resonant saddle. (English) Zbl 1498.34088 Chaos Solitons Fractals 146, Article ID 110821, 4 p. (2021). MSC: 34C05 34C20 37G05 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Maria; Spolaor, Luca; Velichkov, Bozhidar Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem. (English) Zbl 1477.35317 Interfaces Free Bound. 23, No. 2, 159-167 (2021). MSC: 35R35 35B44 35J86 49J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fortuny Ayuso, Pedro; Bayón, Luis; Grau, José María; del Mar Ruiz, Maria; Suárez, Pedro Maria A modified backward integration method for optimal control problems with degenerate equilibrium points. (English) Zbl 1484.49054 Optim. Control Appl. Methods 42, No. 4, 927-942 (2021). Reviewer: Florian Mannel (Graz) MSC: 49M05 37D05 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Xiao; Yang, Tao Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation. (English) Zbl 1479.35810 J. Differ. Equations 304, 326-347 (2021). MSC: 35Q55 35A15 35B35 35B40 35B38 35B44 82B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jelbart, S.; Kristiansen, K. U.; Wechselberger, M. Singularly perturbed boundary-equilibrium bifurcations. (English) Zbl 1480.34056 Nonlinearity 34, No. 11, 7371-7414 (2021). MSC: 34C23 34E15 34C05 34C37 34A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsui, Naoki Minimal-mass blow-up solutions for nonlinear Schrödinger equations with an inverse potential. (English) Zbl 1479.35813 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112497, 32 p. (2021). MSC: 35Q55 35Q41 35B44 35B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jelbart, Samuel; Kristiansen, Kristian Uldall; Wechselberger, Martin Singularly perturbed boundary-focus bifurcations. (English) Zbl 1472.34109 J. Differ. Equations 296, 412-492 (2021). MSC: 34E15 34A36 34C20 34C05 34C23 34C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Novaes, Douglas D.; Rondón, Gabriel Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles. (English) Zbl 1478.34016 Nonlinearity 34, No. 6, 4202-4263 (2021). Reviewer: Alexey O. Remizov (Moskva) MSC: 34A36 34A26 34C05 37C83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huzak, Renato; Rojas, David Period function of planar turning points. (English) Zbl 1474.34389 Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 16, 21 p. (2021). MSC: 34E15 34E17 34C25 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Saanouni, Tarek Potential well theory for the focusing fractional Choquard equation. (English) Zbl 1452.81105 J. Math. Phys. 61, No. 6, 061502, 22 p. (2020). MSC: 81Q05 35Q55 35B38 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Ichida, Yu; Sakamoto, Takashi Okuda Traveling wave solutions for degenerate nonlinear parabolic equations. (English) Zbl 1451.35045 J. Elliptic Parabol. Equ. 6, No. 2, 795-832 (2020); correction ibid. 6, No. 2, 833 (2020). MSC: 35C07 35K65 35B40 34C05 34C08 × Cite Format Result Cite Review PDF Full Text: DOI
Esteve, Carlos Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equation in domains with non-constant curvature. (English. French summary) Zbl 1450.35077 J. Math. Pures Appl. (9) 137, 143-177 (2020). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B44 35K20 35K57 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Poggiale, Jean-Christophe; Aldebert, Clément; Girardot, Benjamin; Kooi, Bob W. Analysis of a predator-prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions. (English) Zbl 1475.92138 J. Math. Biol. 80, No. 1-2, 39-60 (2020). Reviewer: Shengqiang Liu (Harbin) MSC: 92D25 34C40 37G10 37N25 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Yilei; Zhang, Xiang Global dynamics of planar quasi-homogeneous differential systems. (English) Zbl 1431.34041 Nonlinear Anal., Real World Appl. 49, 90-110 (2019). MSC: 34C05 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferčec, Brigita; Giné, Jaume Blow-up method to compute necessary conditions of integrability for planar differential systems. (English) Zbl 1428.34041 Appl. Math. Comput. 358, 16-24 (2019). MSC: 34C05 34C20 37G05 × Cite Format Result Cite Review PDF Full Text: DOI
de Fernex, Tommaso; Docampo, Roi Nash blow-ups of jet schemes. (Éclatements de Nash des espaces de jets.) (English. French summary) Zbl 1504.14028 Ann. Inst. Fourier 69, No. 6, 2577-2588 (2019). MSC: 14E18 14B05 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuehn, Christian; Münch, Christian Duck traps: two-dimensional critical manifolds in planar systems. (English) Zbl 1440.34060 Dyn. Syst. 34, No. 4, 584-612 (2019). Reviewer: Vladimir Sobolev (Samara) MSC: 34E15 34C45 34E17 34C20 34C05 34C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arcidiacono, Luca; Engel, Maximilian; Kuehn, Christian Discretized fast-slow systems near pitchfork singularities. (English) Zbl 1436.37062 J. Difference Equ. Appl. 25, No. 7, 1024-1051 (2019). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37G10 37G05 37M20 37D10 70K70 65L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pistoia, Angela; Vaira, Giusi Clustering phenomena for linear perturbation of the Yamabe equation. (English) Zbl 1428.35139 Ben Ayed, Mohamed (ed.) et al., Partial differential equations arising from physics and geometry. A volume in memory of Abbas Bahri. Based on the conference, Hammamet, Tunisia, March 20–29, 2015. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 450, 311-331 (2019). MSC: 35J91 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsue, Kaname Geometric treatments and a common mechanism in finite-time singularities for autonomous ODEs. (English) Zbl 1428.34027 J. Differ. Equations 267, No. 12, 7313-7368 (2019). Reviewer: Alexey O. Remizov (Moscow) MSC: 34A26 34C08 34C05 34C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ndiaye, Cheikh Birahim Topological methods for the resonant \(Q\)-curvature problem in arbitrary even dimension. (English) Zbl 1416.53038 J. Geom. Phys. 140, 178-213 (2019). MSC: 53C21 58J60 × Cite Format Result Cite Review PDF Full Text: DOI
Arriagada, Waldo; Skrzypacz, Piotr \(\mathbb{Z}_2\)-equivariant analytic foliations. (English) Zbl 1438.37029 Rev. Roum. Math. Pures Appl. 64, No. 1, 7-24 (2019). Reviewer: Vladimir P. Kostov (Nice) MSC: 37F75 37F46 37C25 32M25 32S65 × Cite Format Result Cite Review PDF
Huzak, Renato Canard explosion near non-Liénard type slow-fast Hopf point. (English) Zbl 1426.34071 J. Dyn. Differ. Equations 31, No. 2, 683-709 (2019). Reviewer: Robert Vrabel (Trnava) MSC: 34E17 34C23 34E15 34C05 34E10 × Cite Format Result Cite Review PDF Full Text: DOI
Engel, Maximilian; Kuehn, Christian Discretized fast-slow systems near transcritical singularities. (English) Zbl 1416.37045 Nonlinearity 32, No. 7, 2365-2391 (2019). Reviewer: Robert Vrabel (Trnava) MSC: 37G10 37G15 37C05 70K70 65L06 65L12 65L11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chirkova, Elena Anatol’evna Investigation of a 3D system of differential equations with non-isolated singular points. (Russian. English summary) Zbl 1465.34037 Chelyabinskiĭ Fiz.-Mat. Zh. 3, No. 3, 332-337 (2018). MSC: 34C05 34A12 34A34 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Matsue, Kaname On blow-up solutions of differential equations with Poincaré-type compactifications. (English) Zbl 1411.34027 SIAM J. Appl. Dyn. Syst. 17, No. 3, 2249-2288 (2018). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 34A26 34C05 34C20 34C11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Korpusov, Maxim Olegovich; Ovchinnikov, Alexey Vital’evich; Sveshnikov, Alexey Georgievich; Yushkov, Egor Vladislavovich Blow-up in nonlinear equations of mathematical physics. Theory and methods. (English) Zbl 1420.35005 De Gruyter Series in Nonlinear Analysis and Applications 27. Berlin: De Gruyter (ISBN 978-3-11-060108-4/hbk; 978-3-11-060207-4/ebook). xviii, 326 p. (2018). Reviewer: Vladimir N. Grebenev (Darmstadt) MSC: 35-02 35Qxx 35B44 35B50 35B51 × Cite Format Result Cite Review PDF Full Text: DOI
Leung, Man Chun; Zhou, Feng Conformal scalar curvature equation on \(S^n\): functions with two close critical points (twin pseudo-peaks). (English) Zbl 1395.35091 Commun. Contemp. Math. 20, No. 5, Article ID 1750051, 33 p. (2018). MSC: 35J60 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Binhua; Ren, Jiajia; Wang, Kai Blow-up in several points for the Davey-Stewartson system in \(\mathbb{R}^2\). (English) Zbl 1408.35148 J. Math. Anal. Appl. 466, No. 2, 1317-1326 (2018). MSC: 35Q35 35B44 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Cheng; Zhang, Xiang Stability loss delay and smoothness of the return map in slow-fast systems. (English) Zbl 1396.34042 SIAM J. Appl. Dyn. Syst. 17, No. 1, 788-822 (2018). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E15 34E20 34D05 34C20 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Seunghyeok; Pistoia, Angela Nodal solutions for a Yamabe type equation. (English) Zbl 1474.35273 J. Nonlinear Convex Anal. 18, No. 7, 1361-1373 (2017). MSC: 35J35 35J60 × Cite Format Result Cite Review PDF Full Text: Link
Du, Chengyong Weighted blow-up of orbifold Gromov-Witten invariants along smooth points. (Chinese. English summary) Zbl 1513.53143 Acta Math. Sin., Chin. Ser. 60, No. 4, 689-704 (2017). MSC: 53D45 14N35 × Cite Format Result Cite Review PDF
Huang, Tusen; Zhang, Lijun A monodromy criterion for a type of degenerate system defined by the sum of two homogeneous vector fields. (English) Zbl 1391.34064 Rocky Mt. J. Math. 47, No. 7, 2255-2275 (2017). Reviewer: Jaume Giné (Lleida) MSC: 34C05 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Fan, Chenjie \(\log\)-\(\log\) blow up solutions blow up at exactly \(m\) points. (English. French summary) Zbl 1382.35263 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 6, 1429-1482 (2017). Reviewer: Guido Schneider (Stuttgart) MSC: 35Q55 35B44 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ben Ayed, Mohamed; Fourti, Habib Scalar curvature type problem on the three dimensional bounded domain. (English) Zbl 1389.35182 Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 1, 139-173 (2017). MSC: 35J91 35B38 35B44 35J20 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Mancini, Gabriele; Martinazzi, Luca The Moser-Trudinger inequality and its extremals on a disk via energy estimates. (English) Zbl 1382.35010 Calc. Var. Partial Differ. Equ. 56, No. 4, Paper No. 94, 26 p. (2017). MSC: 35A23 35A01 35B09 35B33 35B44 34E05 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wen, Zhenshu Bifurcations and exact traveling wave solutions of the celebrated Green-Naghdi equations. (English) Zbl 1370.34065 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 7, Article ID 1750114, 7 p. (2017). MSC: 34C23 35C07 34A05 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Lan, Yang Blow-up solutions for \(L^2\) supercritical gKdV equations with exactly \(k\) blow-up points. (English) Zbl 1373.35275 Nonlinearity 30, No. 8, 3203-3240 (2017). MSC: 35Q53 35B40 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morabito, Filippo; Pistoia, Angela; Vaira, Giusi Towering phenomena for the Yamabe equation on symmetric manifolds. (English) Zbl 1379.35104 Potential Anal. 47, No. 1, 53-102 (2017). Reviewer: Dian K. Palagachev (Bari) MSC: 35J35 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Killip, Rowan; Oh, Tadahiro; Pocovnicu, Oana; Vişan, Monica Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\). (English) Zbl 1367.35158 Arch. Ration. Mech. Anal. 225, No. 1, 469-548 (2017). MSC: 35Q55 35C08 35B38 35B44 35B40 35Q41 35P25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huzak, Renato Regular and slow-fast codimension 4 saddle-node bifurcations. (English) Zbl 1365.34070 J. Differ. Equations 262, No. 2, 1119-1154 (2017). Reviewer: Jörg Härterich (Bochum) MSC: 34C23 34E15 37G15 34E20 34C26 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Ricciardi, Tonia; Takahashi, Ryo Blow-up behavior for a degenerate elliptic \(\sinh \)-Poisson equation with variable intensities. (English) Zbl 1361.35056 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 152, 25 p. (2016). Reviewer: Lubomira Softova (Aversa) MSC: 35J25 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghoudi, Rabeh; Bouh, Kamal Ould Construction of sign-changing solutions for a subcritical problem on the four dimensional half sphere. (English) Zbl 1380.35092 Tohoku Math. J. (2) 68, No. 4, 591-605 (2016). Reviewer: Marcelo Furtado (Brasília) MSC: 35J60 35B44 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Bouh, Kamal Ould Construction of sign-changing solutions for a harmonic equation with subcritical exponent. (English) Zbl 1347.35098 Monatsh. Math. 180, No. 4, 713-730 (2016). MSC: 35J20 35J60 35B33 35B38 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Musso, Monica; Pistoia, Angela; Wei, Juncheng New blow-up phenomena for \(\mathrm{SU}(n+1)\) Toda system. (English) Zbl 1418.35139 J. Differ. Equations 260, No. 7, 6232-6266 (2016). MSC: 35J57 35B33 35B40 35B44 35J91 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lashkarian, Razie Shafeii; Sharifabad, Dariush Behmardi Monodromy problem for the degenerate critical points. (English) Zbl 1412.34242 Comput. Methods Differ. Equ. 3, No. 1, 1-13 (2015). MSC: 34M35 74H35 34C05 × Cite Format Result Cite Review PDF Full Text: Link
Koike, Takayuki Toward a higher codimensional Ueda theory. (English) Zbl 1331.32007 Math. Z. 281, No. 3-4, 967-991 (2015). Reviewer: Antonella Nannicini (Firenze) MSC: 32J25 14C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wickramasekera, Neshan Regularity of stable minimal hypersurfaces: recent advances in the theory and applications. (English) Zbl 1329.49002 Cao, Huai-Dong (ed.) et al., Regularity and evolution of nonlinear equations. Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck. Somerville, MA: International Press (ISBN 978-1-57146-303-6/hbk). Surveys in Differential Geometry 19, 231-301 (2015). Reviewer: Kungching Chang (Beijing) MSC: 49-02 49N60 49Q05 49Q20 49Q15 58E05 58K99 × Cite Format Result Cite Review PDF
Guo, Jong-Shenq; Souplet, Philippe No touchdown at zero points of the permittivity profile for the MEMS problem. (English) Zbl 1332.35160 SIAM J. Math. Anal. 47, No. 1, 614-625 (2015). Reviewer: S. G. Pyatkov (Khanty-Mansiysk) MSC: 35K55 35B40 35B44 74K15 74F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferragut, A.; Galindo, C.; Monserrat, F. A class of polynomial planar vector fields with polynomial first integral. (English) Zbl 1328.34003 J. Math. Anal. Appl. 430, No. 1, 354-380 (2015). Reviewer: Jaume Giné (Lleida) MSC: 34A05 37C10 34C14 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gladiali, Francesca; Grossi, Massimo; Ohtsuka, Hiroshi; Suzuki, Takashi Morse indices of multiple blow-up solutions to the two-dimensional Gel’fand problem. (English) Zbl 1304.35468 Commun. Partial Differ. Equations 39, No. 11, 2028-2063 (2014). MSC: 35P30 35B44 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grossi, Massimo; Takahashi, Futoshi On the location of two blowup points on an annulus for the mean field equation. (Sur l’emplacement de deux points d’explosion sur un annulus pour l’équation de champ moyen.) (English. French summary) Zbl 1297.35198 C. R., Math., Acad. Sci. Paris 352, No. 7-8, 615-619 (2014). MSC: 35Q40 35B44 81T13 35B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Robert, Frédéric; Vétois, Jérôme Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds. (English) Zbl 1307.58011 J. Differ. Geom. 98, No. 2, 349-356 (2014). Reviewer: Maria Aparecida Soares Ruas (São Carlos) MSC: 58J37 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kuehn, Christian Normal hyperbolicity and unbounded critical manifolds. (English) Zbl 1295.34056 Nonlinearity 27, No. 6, 1351-1366 (2014). MSC: 34E15 34C45 37G10 34C23 34E10 57R70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Malchiodi, Andrea; Martinazzi, Luca Critical points of the Moser-Trudinger functional on a disk. (English) Zbl 1304.49011 J. Eur. Math. Soc. (JEMS) 16, No. 5, 893-908 (2014). Reviewer: Raffaella Servadei (Arcavata di Rende) MSC: 49J20 35B38 35B44 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takahashi, Futoshi Morse indices and the number of blow up points of blowing-up solutions for a Liouville equation with singular data. (English) Zbl 1308.35076 Discrete Contin. Dyn. Syst. 2013, Suppl., 729-736 (2013). MSC: 35J20 35B40 35J25 × Cite Format Result Cite Review PDF Full Text: Link
Hakem, Ali; Berbiche, Mohamed Blow up results for fractional differential equations and systems. (English) Zbl 1313.35360 Publ. Inst. Math., Nouv. Sér. 93(107), 173-186 (2013). MSC: 35R11 26A33 35B44 35B38 × Cite Format Result Cite Review PDF Full Text: DOI
Nie, Yuanyuan; Wang, Chunpeng; Zhou, Qian Quenching for singular and degenerate quasilinear diffusion equations. (English) Zbl 1288.35317 Electron. J. Differ. Equ. 2013, Paper No. 131, 14 p. (2013). MSC: 35K65 35K67 35B40 35K20 35B44 × Cite Format Result Cite Review PDF Full Text: EMIS
Mammadov, Yusif A.; Gadjiev, Tahir S.; Rasulov, Rafig A. On behavior of solutions of nonlinear parabolic equations. (English) Zbl 1293.35158 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 33, No. 1, Math. Mech., 51-56 (2013). MSC: 35K92 35B44 35K20 × Cite Format Result Cite Review PDF
Huzak, R.; De Maesschalck, P.; Dumortier, F. Limit cycles in slow-fast codimension 3 saddle and elliptic bifurcations. (English) Zbl 1316.34060 J. Differ. Equations 255, No. 11, 4012-4051 (2013). Reviewer: Christos Sourdis (Athens) MSC: 34E15 37G15 34E20 34C23 34C26 34C05 34C45 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Medvedeva, N. B. On analytic insolubility of the stability problem on the plane. (English. Russian original) Zbl 1296.37019 Russ. Math. Surv. 68, No. 5, 923-949 (2013); translation from Usp. Mat. Nauk 68, No. 5, 147-176 (2013). Reviewer: Nivaldo de Góes Grulha Júnior (São Carlos) MSC: 37C10 37C75 58K45 37E35 37C25 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Kesheng; Zhang, Xiang Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces. (English) Zbl 1338.37038 Physica D 244, No. 1, 25-35 (2013). MSC: 37D10 37D45 37C70 34C45 34C05 34C28 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Qiang; Gao, Hang; Yang, Ying Controllability results for weakly blowing up reaction-diffusion system. (English) Zbl 1340.35144 Electron. J. Qual. Theory Differ. Equ. 2012, Paper No. 11, 19 p. (2012). MSC: 35K57 35B44 93B05 × Cite Format Result Cite Review PDF Full Text: DOI
Roussarie, Robert; Roux, Jean From differential equations to dynamical systems. Volume II. Towards the theory of dynamical systems. (Des équations différentielles aux systèmes dynamiques. Tome II. Vers la théorie des systèmes dynamiques.) (French) Zbl 1350.34001 Collection Enseignement SUP. Mathémathiques. Les Ulis: EDP Sciences (ISBN 978-2-7598-0654-6/pbk). ix, 318 p. (2012). Reviewer: Waldo Arriagada (Abu Dhabi) MSC: 34-01 34A34 34C05 34C23 34C40 34C41 34C45 34D30 37C10 37G05 37G10 × Cite Format Result Cite Review PDF