Tran, Minh-Phuong; Nguyen, Thanh-Nhan; Tran, Quang-Vinh; Huynh, Phuoc-Nguyen Weighted distribution approach for a class of nonlinear elliptic equations associated to Schrödinger-type operators. (English) Zbl 07925455 Monatsh. Math. 205, No. 2, 325-349 (2024). MSC: 35B65 35J62 35J92 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Hirata, Kentaro Positive solutions of superlinear elliptic equations with respect to the Schrödinger operator. (English) Zbl 07925336 Machihara, Shuji (ed.), Mathematical physics and its interactions. In honor of the 60th birthday of Tohru Ozawa, Tokyo, Japan, August 25–27, 2021. Conference proceedings. Singapore: Springer. Springer Proc. Math. Stat. 451, 1-34 (2024). MSC: 35J91 31B10 31B35 35B09 35B45 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Dingwen; Li, Zhijun Invariants-preserving Du Fort-Frankel schemes and their analyses for nonlinear Schrödinger equations with wave operator. (English) Zbl 07924437 J. Comput. Math. 42, No. 3, 814-850 (2024). MSC: 26A33 34A08 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaojing; Guo, Qi Nonlinear Schrödinger equations with concave-convex nonlinearities. (English) Zbl 07923718 J. Differ. Equations 410, 716-736 (2024). MSC: 35Q40 49J35 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Chems Eddine, Nabil; Repovš, Dušan D. Generalized noncooperative Schrödinger-Kirchhoff-type systems in \(\mathbb{R}^N\). (English) Zbl 07923561 Math. Nachr. 297, No. 6, 2092-2121 (2024). MSC: 35-XX 34-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ma, Wen-Xiu Integrable couplings stemming from three-dimensional unital algebras. (English) Zbl 07921048 Phys. Lett., A 523, Article ID 129783, 5 p. (2024). MSC: 81-XX 82-XX 37K15 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Pucci, Patrizia; Wang, Linlin; Zhang, Binlin Bifurcation and existence for Schrödinger-Poisson systems with doubly critical nonlinearities. (English) Zbl 07920856 Z. Angew. Math. Phys. 75, No. 5, Paper No. 170, 23 p. (2024). MSC: 35B32 35P30 35J47 47J15 35J05 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Urban, Roman Feynman formulas for \(qp\)- and \(pq\)-quantization of some Vladimirov type time-dependent Hamiltonians on finite adeles. (English) Zbl 07920845 Anal. Math. Phys. 14, No. 5, Paper No. 105, 38 p. (2024). MSC: 81S40 81S99 35S05 47D08 11R56 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Sun, Chuanhong; Li, Pengtao; Lou, Zengjian Regularity of fractional heat semigroups associated with Schrödinger operators on Heisenberg groups. (English) Zbl 07920519 Forum Math. 36, No. 6, 1437-1481 (2024). MSC: 35J10 47B38 22E30 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Thin Van Nguyen; Rădulescu, Vicenţiu D. Multiple normalized solutions for fractional elliptic problems. (English) Zbl 07920507 Forum Math. 36, No. 5, 1225-1248 (2024). MSC: 35A15 35J10 35B09 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Bao, Qiqi Local-nonlocal Schrödinger equation with critical exponent: the zero mass case. (English) Zbl 07920033 Bull. Malays. Math. Sci. Soc. (2) 47, No. 5, Paper No. 163, 28 p. (2024). MSC: 35J20 35J35 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Shijun Spectral multipliers for magnetic Schrödinger operators. (English) Zbl 07919677 Matematica 3, No. 3, 907-940 (2024). MSC: 35J10 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Fengshuang; Guo, Yuxia Existence of normalized solutions for mass super-critical quasilinear Schrödinger equation with potentials. (English) Zbl 07919136 J. Geom. Anal. 34, No. 11, Paper No. 329, 39 p. (2024). MSC: 35A01 35J10 35J20 35J62 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Rong A direct method of moving planes for logarithmic Schrödinger operator. (English) Zbl 07917958 Ruzhansky, Michael (ed.) et al., Extended abstracts MWCAPDE 2023. Methusalem workshop on classical analysis and partial differential equations. Selected papers, Ghent, Belgium, February 27 – March 1, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 1, 225-235 (2024). MSC: 35R11 35B06 35B50 35B51 35D30 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Ahrami, Mohammed; El Allali, Zakaria; Harrell, Evans M. II; Kennedy, James B. Optimizing the fundamental eigenvalue gap of quantum graphs. (English) Zbl 07917835 J. Phys. A, Math. Theor. 57, No. 38, Article ID 385205, 26 p. (2024). MSC: 81-XX 90-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Razani, Abdolrahman; Costa, Gustavo S. A.; Figueiredo, Giovany M. A study on a class of weighted elliptic problems with indefinite nonlinearities. (English) Zbl 07916284 Appl. Anal. 103, No. 13, 2353-2371 (2024). MSC: 35Jxx 35A01 35A15 35B05 35B30 35J92 35J10 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tiezheng; Wei, Guangsheng The local Borg-Marchenko uniqueness theorem for matrix-valued Schrödinger operators with locally smooth at the right endpoint potentials. (English) Zbl 07916278 Appl. Anal. 103, No. 12, 2213-2223 (2024). MSC: 34B20 34E05 34A55 × Cite Format Result Cite Review PDF Full Text: DOI
Carl, Siegfried; Winkert, Patrick Parabolic double phase obstacle problems. (English) Zbl 07916232 Nonlinear Anal., Real World Appl. 80, Article ID 104169, 14 p. (2024). Reviewer: Leszek Gasiński (Kraków) MSC: 35J10 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ting; Chen, Guanwei Multiple standing waves of matrix nonlinear Schrödinger equations with mixed growth nonlinearities in \(\mathbb{R}^N\). (English) Zbl 07916223 Nonlinear Anal., Real World Appl. 80, Article ID 104153, 9 p. (2024). MSC: 35J10 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Kai; Li, Shifeng; Zhang, Juan High-accuracy numerical methods and convergence analysis for Schrödinger equation with incommensurate potentials. (English) Zbl 07915957 J. Sci. Comput. 101, No. 1, Paper No. 18, 23 p. (2024). MSC: 65-XX 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dorodnyi, M. A. High-frequency homogenization of nonstationary periodic equations. (English) Zbl 07915824 Appl. Anal. 103, No. 3, 533-561 (2024). MSC: 35B27 35B45 35L15 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feulefack, Pierre Aime The fractional logarithmic Schrödinger operator: properties and functional spaces. (English) Zbl 07914778 J. Pseudo-Differ. Oper. Appl. 15, No. 3, Paper No. 55, 38 p. (2024). MSC: 45K05 45P05 45C05 45A05 35R11 35S15 26A33 46E10 46E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hohage, Thorsten; Novikov, Roman G.; Sivkin, Vladimir N. Phase retrieval and phaseless inverse scattering with background information. (English) Zbl 07909979 Inverse Probl. 40, No. 10, Article ID 105007, 36 p. (2024). MSC: 35R30 35J10 35P25 78A46 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hirata, Kentaro Sublinear elliptic equations with unbounded coefficients in Lipschitz domains. (English) Zbl 07908377 Result. Math. 79, No. 5, Paper No. 215, 26 p. (2024). MSC: 35Jxx 35B45 31B10 31B25 31C45 35J10 35A01 35A02 35J91 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Tao, Kai On localization and homogeneity for analytic quasi-periodic Schrödinger operators with Gevrey perturbation. (English) Zbl 07908362 Commun. Pure Appl. Anal. 23, No. 9, 1216-1239 (2024). MSC: 37A30 37C55 47A35 × Cite Format Result Cite Review PDF Full Text: DOI
Ahrami, Mohammed; El Allali, Zakaria Optimizing the first eigenvalue of nonlinear quantum graphs. (English) Zbl 07907994 Gulf J. Math. 17, No. 1, 29-43 (2024). MSC: 34B45 34L15 35J05 81Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xu; Zhai, Hao; Zhao, Fukun A compact embedding result for nonlocal Sobolev spaces and multiplicity of sign-changing solutions for nonlocal Schrödinger equations. (English) Zbl 07906347 Acta Math. Sci., Ser. B, Engl. Ed. 44, No. 5, 1853-1876 (2024). MSC: 35R11 35J50 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Duong, Giao Ky; Frank, Rupert L.; Le, Thi Minh Thao; Nam, Phan Thành; Nguyen, Phuoc-Tai Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator. (English. French summary) Zbl 07906234 J. Math. Pures Appl. (9) 190, Article ID 103598, 16 p. (2024). MSC: 81Q20 81V70 81V74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yongming Dispersive estimates for 1D matrix Schrödinger operators with threshold resonance. (English) Zbl 07906104 Calc. Var. Partial Differ. Equ. 63, No. 8, Paper No. 206, 54 p. (2024). MSC: 35Q55 35Q41 35J10 35C08 35B20 35B40 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novikova, E. M. Coherent distributions of the symmetry algebra of spinor regularization generator and hydrogen atom. (English) Zbl 07906075 J. Math. Phys. 65, No. 8, Article ID 083502, 29 p. (2024). MSC: 81Q05 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Mashiko, Takuto; Marui, Yuma; Maruyama, Naoki; Nakano, Fumihiko Eigenvalue fluctuations of 1-dimensional random Schrödinger operators. (English) Zbl 07906073 J. Math. Phys. 65, No. 8, Article ID 083301, 23 p. (2024). MSC: 81Q10 60H25 82B44 15B52 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Yuan; Guo, Yuxia New type of solutions for Schrödinger equations with critical growth. (English) Zbl 07906049 J. Math. Phys. 65, No. 8, Article ID 081515, 35 p. (2024). MSC: 35Q55 35A01 35J61 35B09 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hwang, Gyeongha Probabilistic radial Strichartz estimates and its application. (English) Zbl 07905782 Funkc. Ekvacioj, Ser. Int. 67, No. 2, 199-216 (2024). MSC: 35Q55 35Q41 35J10 42B37 35B65 35A01 35A02 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Weigt, Martin Local nets of unbounded operator algebras. (English) Zbl 07905241 Rev. Math. Phys. 36, No. 7, Article ID 2450013, 26 p. (2024). MSC: 81T05 46L10 47L60 46N50 81P05 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Guoxia; Song, Manli Restriction theorems and Strichartz inequalities for the Laguerre operator involving orthonormal functions. (English) Zbl 07904884 J. Geom. Anal. 34, No. 9, Paper No. 287, 19 p. (2024). MSC: 35Q41 35J10 47B10 35P10 35B65 44A15 33C45 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borthwick, David; Wang, Yiran Existence of resonances for Schrödinger operators on hyperbolic space. (English) Zbl 07904878 Anal. PDE 17, No. 6, 2077-2108 (2024). MSC: 35P25 35B34 35J10 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Shan Infinitely many solutions for Schrödinger equations with Hardy potential and Berestycki-Lions conditions. (English) Zbl 07903495 Open Math. 22, Article ID 20230175, 9 p. (2024). MSC: 35J10 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bhimani, Divyang; Gou, Tianxiang; Hajaiej, Hichem Normalized solutions to nonlinear Schrödinger equations with competing Hartree-type nonlinearities. (English) Zbl 07903095 Math. Nachr. 297, No. 7, 2543-2580 (2024). MSC: 35J10 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goldstein, Michael; Schlag, Wilhelm; Voda, Mircea On localization and the spectrum of multi-frequency quasi-periodic operators. (English) Zbl 07903081 Vietnam J. Math. 52, No. 4, 915-966 (2024). MSC: 47B36 47B80 35J10 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Becker, Simon; Zworski, Maciej Dirac points for twisted bilayer graphene with in-plane magnetic field. (English) Zbl 07902921 J. Spectr. Theory 14, No. 2, 479-511 (2024). MSC: 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Exner, Pavel; Vugalter, Semjon Bound states in bent soft waveguides. (English) Zbl 07902919 J. Spectr. Theory 14, No. 2, 427-457 (2024). MSC: 81Q37 35J10 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Luo, Huxiao Uniqueness and nondegeneracy of ground states for the Schrödinger-Newton equation with power nonlinearity. (English) Zbl 07901512 Discrete Contin. Dyn. Syst. 44, No. 11, 3443-3473 (2024). MSC: 35J10 35Q55 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Jian-Xin; Chen, Ming-Chao; Xue, Yan-Fang Ground state solutions for quasilinear Schrödinger equations with critical Berestycki-Lions nonlinearities. (English) Zbl 07901304 Lith. Math. J. 64, No. 2, 138-162 (2024). MSC: 35J10 35J62 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosio, Vincenzo Concentration phenomena for the fractional relativistic Schrödinger-Choquard equation. (English) Zbl 07900930 Commun. Contemp. Math. 26, No. 9, Article ID 2350061, 40 p. (2024). MSC: 35R11 35B09 35J10 35J20 35J61 × Cite Format Result Cite Review PDF Full Text: DOI
Mizutani, Haruya; Wan, Zijun; Yao, Xiaohua \(L^{p}\)-boundedness of wave operators for bi-Schrödinger operators on the line. (English) Zbl 07900910 Adv. Math. 451, Article ID 109806, 68 p. (2024). MSC: 35J30 31B30 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Bao-Xi; Cao, Qin-Qin; Sun, Ying-Tai The possible \(K\bar{K}^\ast\) and \(D\bar{D}^\ast\) bound and resonance states by solving the Schrödinger equation. (The possible \(K\bar{K}^\ast\) and \(D\bar{D}^\ast\) bound and resonance states by solving the Schrodinger equation.) (English) Zbl 07899388 Commun. Theor. Phys. 76, No. 10, Article ID 105301, 7 p. (2024). MSC: 81Q05 81Q12 × Cite Format Result Cite Review PDF Full Text: DOI
Cabral, Adrián Weighted inequalities for Schrödinger type singular integrals on variable Lebesgue spaces. (English) Zbl 07898769 Tunis. J. Math. 6, No. 2, 321-342 (2024). MSC: 42B20 42B35 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thinh, Nguyen; Thang, Dang Hung; Son, Ta Cong On the regularity of generalized random spectral measures and their applications. (English) Zbl 07898741 Kyushu J. Math. 78, No. 1, 153-175 (2024). MSC: 60H25 46G10 60B11 45R05 × Cite Format Result Cite Review PDF Full Text: DOI
Exner, Pavel; Kondej, Sylwia; Lotoreichik, Vladimir Bound states of weakly deformed soft waveguides. (English) Zbl 07898733 Asymptotic Anal. 138, No. 3, 151-174 (2024). MSC: 35Q99 81Q37 81Q10 81V25 35P15 35J05 35C20 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stempak, Krzysztof Spectral analysis of an operator with Fourier-Neumann expansions beneath. (English) Zbl 07898609 Complex Anal. Oper. Theory 18, No. 6, Paper No. 134, 11 p. (2024). MSC: 34L40 34L05 47B25 47A57 × Cite Format Result Cite Review PDF Full Text: DOI
Mykytyuk, Ya. V.; Sushchyk, N. S. An operator Riccati equation and reflectionless Schrödinger operators. (English) Zbl 07898603 Mat. Stud. 61, No. 2, 176-187 (2024). MSC: 34L40 35J10 47A62 47A63 × Cite Format Result Cite Review PDF Full Text: DOI
Levin, S. B. Refinement of the asymptotics of three charged quantum particles scattering problem solution of the six-dimensional distorted plane wave type. (English. Russian original) Zbl 07897430 J. Math. Sci., New York 283, No. 4, 556-561 (2024); translation from Zap. Nauchn. Semin. POMI 506, 89-97 (2021). MSC: 35P25 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Kravchenko, Vladislav V.; Vicente-Benítez, Víctor A. Schrödinger equation with finitely many \(\delta\)-interactions: closed form, integral and series representations for solutions. (English) Zbl 07896867 Anal. Math. Phys. 14, No. 5, Paper No. 97, 42 p. (2024). MSC: 34L10 34A05 34A25 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Liping; Zhao, Chunyi Non-simple concentrations for nonlinear magnetic Schrödinger equations with constant electric potentials. (English) Zbl 07896602 Discrete Contin. Dyn. Syst. 44, No. 9, 2564-2597 (2024). MSC: 35J10 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Xing; Wang, Hongze; Zhou, Qi; Zhou, Tao Traveling fronts for Fisher-KPP lattice equations in almost-periodic media. (English) Zbl 07896318 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 5, 1179-1237 (2024). MSC: 35C07 35B15 35K57 37L60 47A75 35P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Dinh, van Duong; Nguyen, Dinh-Thi; Rougerie, Nicolas Blowup of two-dimensional attractive Bose-Einstein condensates at the critical rotational speed. (English) Zbl 07896315 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 5, 1055-1081 (2024). MSC: 35J10 35Q55 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Zang, Liming; Zhang, Qian; Liu, Q. P. On the integrability of three two-component bi-Hamiltonian systems. (English) Zbl 07895118 J. Phys. A, Math. Theor. 57, No. 33, Article ID 335204, 18 p. (2024). MSC: 37-XX 70-XX × Cite Format Result Cite Review PDF Full Text: DOI
Balmaseda, Aitor; Lonigro, Davide; Pérez-Pardo, Juan Manuel On a sharper bound on the stability of non-autonomous Schrödinger equations and applications to quantum control. (English) Zbl 07895013 J. Funct. Anal. 287, No. 8, Article ID 110563, 32 p. (2024). MSC: 35Q41 35J10 37K45 81Q93 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Ting; Zhou, Yuzhi; Zhou, Aihui Localization in the incommensurate systems: a plane wave study via effective potentials. (English) Zbl 07893891 Commun. Comput. Phys. 35, No. 4, 1029-1044 (2024). MSC: 35J10 35P15 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novikov, R. G.; Taimanov, I. A. On unitarity of the scattering operator in non-Hermitian quantum mechanics. (English) Zbl 07893523 Ann. Henri Poincaré 25, No. 8, 3899-3909 (2024). MSC: 81Q05 81Q12 81U20 81U40 × Cite Format Result Cite Review PDF Full Text: DOI
Jing, Yongtao; Liu, Haidong Nodal solutions of quasilinear Schrödinger equations in \(\mathbb{R}^N\). (English) Zbl 07893412 Differ. Integral Equ. 37, No. 9-10, 647-670 (2024). MSC: 35A15 35J10 35J62 × Cite Format Result Cite Review PDF Full Text: DOI
Chatziafratis, Andreas; Ozawa, Tohru; Tian, Shou-Fu Rigorous analysis of the unified transform method and long-range instabilities for the inhomogeneous time-dependent Schrödinger equation on the quarter-plane. (English) Zbl 07892673 Math. Ann. 389, No. 4, 3535-3602 (2024). MSC: 35Q41 35A09 35A22 35A25 35B40 35C05 35C15 35J10 35S30 41A60 43A32 44A15 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Faust, Matthew; Liu, Wencai; Matos, Rodrigo; Plute, Jenna; Robinson, Jonah; Tao, Yichen; Tran, Ethan; Zhuang, Cindy Floquet isospectrality of the zero potential for discrete periodic Schrödinger operators. (English) Zbl 07891909 J. Math. Phys. 65, No. 7, Article ID 073501, 8 p. (2024). MSC: 35P05 35J10 81Q10 58J50 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jensen, Arne; Kovařík, Hynek Resolvent expansions of 3D magnetic Schrödinger operators and Pauli operators. (English) Zbl 07891896 J. Math. Phys. 65, No. 7, Article ID 072102, 19 p. (2024). MSC: 81Q10 81Q05 81U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mokrzański, Norbert; Pałuba, Bartosz Ground state energy of Bogoliubov energy functional in the high density limit. (English) Zbl 07891893 J. Math. Phys. 65, No. 7, Article ID 071902, 10 p. (2024). MSC: 82B10 81Q05 81Q10 81V73 82B26 81V70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kato, Keiichi; Nakahashi, Wataru; Tadano, Yukihide Non-smoothness of the fundamental solutions for Schrödinger equations with super-quadratic and spherically symmetric potential. (English) Zbl 07891888 J. Math. Phys. 65, No. 7, Article ID 071506, 17 p. (2024). MSC: 35E05 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Damanik, David; Meng, Gang; Zhang, Meirong; Zhou, Zhe The rotation number for the Schrödinger operator with \(\alpha \)-norm almost periodic measures. (English) Zbl 07891451 Math. Z. 307, No. 4, Paper No. 71, 27 p. (2024). MSC: 43A60 34L40 37E45 35J10 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Sadovnichii, V. A.; Sultanaev, Ya. T.; Valeev, N. F. Optimization inverse spectral problem for the one-dimensional Schrödinger operator on the entire real line. (English. Russian original) Zbl 07891409 Differ. Equ. 60, No. 4, 465-471 (2024); translation from Differ. Uravn. 60, No. 4, 492-499 (2024). MSC: 81-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Tumanov, Sergey N. Weyl-Titchmarsh theory as applied to the singular non-sectorial Schrödinger operator. Conditions for discreteness of the spectrum and compactness of the resolvent. (English) Zbl 07890713 J. Funct. Anal. 287, No. 7, Article ID 110555, 24 p. (2024). MSC: 34L40 34L05 47A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Gui-Dong; Zhang, Jianjun Normalized solutions of Schrödinger equations involving Moser-Trudinger critical growth. (English) Zbl 07888036 Adv. Nonlinear Anal. 13, Article ID 20240024, 22 p. (2024). MSC: 35J10 35Q55 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Refai, Walid Localization of the discrete one-dimensional quasi-periodic Schrödinger operators. (English) Zbl 07883092 Math. Methods Appl. Sci. 47, No. 12, 10435-10443 (2024). MSC: 92C17 35A01 35K51 35K55 35D30 35K92 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Shi; Li, Xiantao; Liu, Nana; Yu, Yue Quantum simulation for quantum dynamics with artificial boundary conditions. (English) Zbl 07881662 SIAM J. Sci. Comput. 46, No. 4, B403-B421 (2024). MSC: 68Q12 81P68 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jian; Zhang, Ying An infinite sequence of localized semiclassical states for nonlinear Maxwell-Dirac system. (English) Zbl 07880821 J. Geom. Anal. 34, No. 9, Paper No. 277, 45 p. (2024). MSC: 35Q40 35Q60 35Q41 49J35 81R20 81Q10 78A35 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Choulli, Mourad; Metidji, Abdelmalek; Soccorsi, Éric Multidimensional Borg-Levinson uniqueness and stability results for the Robin Laplacian with unbounded potential. (English) Zbl 07880773 Doc. Math. 29, No. 4, 959-984 (2024). MSC: 35R30 35J10 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Simonov, Sergey; Woracek, Harald Local spectral multiplicity of selfadjoint couplings with general interface conditions. (English) Zbl 07879944 Integral Equations Oper. Theory 96, No. 2, Paper No. 18, 35 p. (2024). MSC: 34B45 34B20 34L40 47E05 47J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Barbaroux, J.-M.; Cornean, H. D.; Le Treust, L.; Raymond, N.; Stockmeyer, E. Magnetic Dirac systems: violation of bulk-edge correspondence in the zigzag limit. (English) Zbl 07879941 Lett. Math. Phys. 114, No. 4, Paper No. 93, 27 p. (2024). MSC: 35Q40 35Q41 35P15 35P05 35P30 81Q10 81-10 81V70 65N06 65H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davey, Blair On Landis’ conjecture in the plane for potentials with growth. (English) Zbl 07879431 Vietnam J. Math. 52, No. 3, 675-688 (2024). MSC: 35B60 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Patra, Rashmirekha; Satapathy, Nihar Ranjan A new quarternionic Dirac operator on symplectic submanifold of a product symplectic manifold. (English) Zbl 1541.58022 Korean J. Math. 32, No. 1, 83-95 (2024). MSC: 58J50 53D05 53C42 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
Moumen, Latifa; Sidiali, Fatima Zohra; Rebiai, Salah-Eddine Stability of the transmission Schrödinger equation with a delay term in the boundary feedback. (English) Zbl 07878098 J. Dyn. Control Syst. 30, No. 2, Paper No. 13, 23 p. (2024). MSC: 35J10 35K10 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Fischer, Florian On the optimality and decay of \(p\)-Hardy weights on graphs. (English) Zbl 07877913 Calc. Var. Partial Differ. Equ. 63, No. 7, Paper No. 162, 37 p. (2024). MSC: 35A23 35R02 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Muminov, Mukhiddin I.; Asrorova, Zarina On the positivity of three identical particle discrete Schrödinger on lattice. (English) Zbl 07877784 Uzb. Math. J. 68, No. 1, 114-120 (2024). MSC: 45C05 × Cite Format Result Cite Review PDF Full Text: DOI
Cometx, Thomas; Ouhabaz, El Maati Littlewood-Paley-Stein functionals: an \(\mathcal{R}\)-boundedness approach. (Fonctionnelles de Littlewood-Paley-Stein: une approche par la \(\mathcal{R}\)-bornétude.) (English. French summary) Zbl 07877212 Ann. Inst. Fourier 74, No. 3, 1251-1296 (2024). MSC: 42B20 42B15 42B25 44A15 58J35 47D08 60G50 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hérau, Frédéric; Raymond, Nicolas Semiclassical spectral gaps of the 3D Neumann Laplacian with constant magnetic field. (Trou spectral semiclassique pour le Laplacien Neumann 3D avec un champ magnétique constant.) (English. French summary) Zbl 07877203 Ann. Inst. Fourier 74, No. 3, 915-972 (2024). MSC: 35P15 35J25 81Q10 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frank, Rupert L.; Laptev, Ari; Read, Larry Weighted CLR type bounds in two dimensions. (English) Zbl 07876049 Trans. Am. Math. Soc. 377, No. 5, 3357-3371 (2024). MSC: 35P15 35J10 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Guanwei Multiple standing waves of matrix nonlinear Schrödinger equations with sign-changing potentials. (English) Zbl 07875691 Mediterr. J. Math. 21, No. 4, Paper No. 127, 13 p. (2024). MSC: 35J10 35K10 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Akbulut, Ali; Celik, Suleyman; Omarova, Mehriban N. Fractional maximal operator associated with Schrödinger operator and its commutators on vanishing generalized Morrey spaces. (English) Zbl 07875326 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 44, No. 1, Math., 3-19 (2024). MSC: 42B35 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Lv, Yan-Cheng; Li, Gui-Dong Multiplicity of normalized solutions for Schrödinger equations. (English) Zbl 07873946 Bull. Malays. Math. Sci. Soc. (2) 47, No. 4, Paper No. 113, 18 p. (2024). MSC: 35J61 35J10 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zhenyu; Sun, Juntao Normalized solutions of NLS equations with mixed nonlocal nonlinearities. (English) Zbl 07873690 Adv. Nonlinear Anal. 13, Article ID 20240004, 17 p. (2024). MSC: 35J10 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Lin, Xiaoyan; Tang, Xianhua; Zhang, Ning Mountain-pass-type solutions for Schrödinger equations in R2 with unbounded or vanishing potentials and critical exponential growth nonlinearities. (English) Zbl 07873687 Adv. Nonlinear Anal. 13, Article ID 20230127, 15 p. (2024). MSC: 35J10 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI OA License
M. Pitelli, João Paulo; Mosna, Ricardo A.; Souto, Felipe Felix Quantum mechanics on sharply bent wires via two-interval Sturm-Liouville theory. (English) Zbl 07873525 J. Math. Phys. 65, No. 6, Article ID 062104, 12 p. (2024). MSC: 81Q10 81Q05 34B24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Enciso, Alberto; García-Ruiz, Alba; Peralta-Salas, Daniel Inverse localization and global approximation for some Schrödinger operators on hyperbolic spaces. (English) Zbl 07873523 J. Math. Phys. 65, No. 6, Article ID 062102, 20 p. (2024). MSC: 81Q05 35R30 35J05 34L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Guanwei; Ma, Shiwang Ground state solitons for periodic Schrödinger lattice systems with saturable nonlinearities and spectrum 0. (English) Zbl 07873303 Anal. Math. Phys. 14, No. 4, Paper No. 78, 16 p. (2024). MSC: 35Q51 35Q55 39A12 39A70 35C08 35A01 78A60 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Saburova, Natalia Asymptotic isospectrality of Schrödinger operators on periodic graphs. (English) Zbl 07873299 Anal. Math. Phys. 14, No. 4, Paper No. 74, 31 p. (2024). MSC: 35J10 35R02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schulze-Halberg, Axel; Roy, Pinaki Darboux transformations for Dunkl-Schrödinger equations with energy-dependent potential and position-dependent mass. (English) Zbl 07872298 J. Phys. A, Math. Theor. 57, No. 22, Article ID 225204, 24 p. (2024). MSC: 81-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Chitorkin, Egor E.; Bondarenko, Natalia P. Local solvability and stability for the inverse Sturm-Liouville problem with polynomials in the boundary conditions. (English) Zbl 07872008 Math. Methods Appl. Sci. 47, No. 11, 8881-8903 (2024). MSC: 34A55 34B07 34B09 34B24 34L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Qin; Li, Gui-Dong; Zeng, Shengda Normalized solutions for Schrödinger equations with local superlinear nonlinearities. (English) Zbl 07871731 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 220, 26 p. (2024). MSC: 35J10 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Veliev, O. A. On the Bloch eigenvalues, band functions and bands of the differential operator of odd order with the periodic matrix coefficients. (English) Zbl 07870832 Lett. Math. Phys. 114, No. 3, Paper No. 64, 17 p. (2024). MSC: 34L05 34L15 34L40 47E05 × Cite Format Result Cite Review PDF Full Text: DOI
Nina Mollisaca, Raul; Sepúlveda Cortés, Mauricio; Véjar Asem, Rodrigo; Vera Villagran, Octavio Gain of regularity for a coupled system of generalized nonlinear Schrödinger equations. (English) Zbl 07869345 Math. Methods Appl. Sci. 47, No. 7, 5618-5650 (2024). MSC: 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khasanov, Aknazar; Khudayorov, Ulughbek; Khasanov, Temur The Cauchy problem for the modified Korteweg-de Vries-Liouville (mKdV-L) equation with an additional term in the class of periodic infinite-gap functions. (English) Zbl 07868791 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 50, No. 1, 78-95 (2024). MSC: 35Q35 35Q53 35Q55 35B53 34A55 34B24 37K15 × Cite Format Result Cite Review PDF Full Text: DOI
Mazepa, E. A.; Ryaboshlykova, D. K. Asymptotic behavior of solutions of the inhomogeneous Schrödinger equation on noncompact Riemannian manifolds. (English. Russian original) Zbl 1541.58015 Russ. Math. 68, No. 1, 30-42 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 1, 35-49 (2024). MSC: 58J05 35J10 53C21 × Cite Format Result Cite Review PDF Full Text: DOI