Ma, Shiwang Non-existence and multiplicity of positive solutions for Choquard equations with critical combined nonlinearities. (English) Zbl 07977251 J. Funct. Anal. 288, No. 7, Article ID 110826, 66 p. (2025). MSC: 35J61 35J15 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Qian; Zou, Wenming Existence and asymptotics of normalized solutions for the logarithmic Schrödinger system. (English) Zbl 1547.35280 Sci. China, Math. 67, No. 9, 2019-2048 (2024). MSC: 35J47 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mao, Anmin; Lu, Shuyao Normalized solutions to the quasilinear Schrödinger equations with combined nonlinearities. (English) Zbl 1540.35148 Proc. Edinb. Math. Soc., II. Ser. 67, No. 2, 349-387 (2024). MSC: 35J15 35J62 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Weixun; Tang, Xianhua; Zhang, Luyu Existence of a positive bound state solution for logarithmic Schrödinger equation. (English) Zbl 1540.35138 J. Math. Anal. Appl. 531, No. 2, Part 1, Article ID 127861, 16 p. (2024). MSC: 35J10 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Lou, Qingjun; Zhang, Zhitao Multiplicity and concentration of normalized solutions to \(\mathrm{p}\)-Laplacian equations. (English) Zbl 1539.35120 Z. Angew. Math. Phys. 75, No. 3, Paper No. 81, 27 p. (2024). MSC: 35J92 35A01 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Cingolani, Silvia; Degiovanni, Marco; Sciunzi, Berardino Weighted Sobolev spaces and Morse estimates for quasilinear elliptic equations. (English) Zbl 1534.35214 J. Funct. Anal. 286, No. 8, Article ID 110346, 45 p. (2024). MSC: 35J92 35J25 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Monteil, Antonin; Pegon, Paul Mass concentration in rescaled first order integral functionals. (Concentration de masse dans des fonctionnelles intégrales d’ordre \(1\).) (English. French summary) Zbl 07811896 J. Éc. Polytech., Math. 11, 431-472 (2024). MSC: 28A33 49J45 46E35 49Q20 76T99 49Q22 49J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Xiaoming; Yang, Xian Multi-peak solutions for logarithmic Schrödinger equations with potentials unbounded below. (English) Zbl 1525.35083 Discrete Contin. Dyn. Syst. 43, No. 11, 3940-3968 (2023). MSC: 35J10 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Juncheng; Wu, Yuanze On some nonlinear Schrödinger equations in \(\mathbb{R}^N\). (English) Zbl 1522.35180 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 5, 1503-1528 (2023). MSC: 35J10 35J61 35Q55 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Bellazzini, Jacopo; Forcella, Luigi; Georgiev, Vladimir Ground state energy threshold and blow-up for NLS with competing nonlinearities. (English) Zbl 1522.35457 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 2, 955-988 (2023). MSC: 35Q55 35Q41 35B40 35B44 35J91 35J20 35A01 35B20 35B09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jia, Liqian; Li, Xinfu; Ma, Shiwang Existence of positive solutions for Kirchhoff-type problem in exterior domains. (English) Zbl 1516.35402 Proc. Edinb. Math. Soc., II. Ser. 66, No. 1, 182-217 (2023). MSC: 35Q74 74K05 74H45 74J30 35B09 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Akahori, Takafumi; Murata, Miho Nondegeneracy of ground states for nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies in three and four dimensions. (English) Zbl 1518.35383 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113285, 32 p. (2023). MSC: 35J91 35J15 35B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cortázar, Carmen; García-Huidobro, Marta; Herreros, Pilar Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity. (English) Zbl 1514.35220 Discrete Contin. Dyn. Syst. 43, No. 2, 968-992 (2023). MSC: 35J91 35J15 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Houwang; Zou, Wenming Quasilinear Schrödinger equations: ground state and infinitely many normalized solutions. (English) Zbl 1514.35205 Pac. J. Math. 322, No. 1, 99-138 (2023). MSC: 35J62 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jian; Liu, Huize; Zuo, Jiabin High energy solutions of general Kirchhoff type equations without the Ambrosetti-Rabinowitz type condition. (English) Zbl 1512.35605 Adv. Nonlinear Anal. 12, Article ID 20220311, 19 p. (2023). MSC: 35R09 35J62 35S15 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chao; Sun, Juntao Normalized solutions for the \(p\)-Laplacian equation with a trapping potential. (English) Zbl 1512.35208 Adv. Nonlinear Anal. 12, Article ID 20220291, 14 p. (2023). MSC: 35J20 35J92 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Ikoma, Norihisa; Tanaka, Kazunaga; Wang, Zhi-Qiang; Zhang, Chengxiang Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions. (English) Zbl 1505.35213 Indiana Univ. Math. J. 71, No. 5, 2001-2043 (2022). MSC: 35J91 35J15 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Friederich, Xavier On existence and uniqueness of asymptotic \(N\)-soliton-like solutions of the nonlinear Klein-Gordon equation. (English) Zbl 1502.35140 Math. Z. 302, No. 4, 2131-2191 (2022). MSC: 35Q51 35Q53 35L71 35B40 35C08 37K40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Poláčik, Peter; Valdebenito, Darío A. The existence of partially localized periodic-quasiperiodic solutions and related KAM-type results for elliptic equations on the entire space. (https://www.zentralblatt-math.org/math/correction/.) (English) Zbl 1501.35148 J. Dyn. Differ. Equations 34, No. 4, 3035-3056 (2022). MSC: 35J15 35J61 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hamel, F.; Ninomiya, H. Localized and expanding entire solutions of reaction-diffusion equations. (English) Zbl 1503.35017 J. Dyn. Differ. Equations 34, No. 4, 2937-2974 (2022). MSC: 35B08 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Zhang, Chengxiang; Zhang, Luyu Qualitative analysis on logarithmic Schrödinger equation with general potential. (English) Zbl 1500.35178 J. Fixed Point Theory Appl. 24, No. 4, Paper No. 74, 33 p. (2022). MSC: 35J91 35J10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akahori, Takafumi; Murata, Miho Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent at high frequencies in three and four dimensions. (English) Zbl 1500.35254 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 6, Paper No. 71, 54 p. (2022). Reviewer: Federico Bernini (Bari) MSC: 35Q55 35A02 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Lixiong; Chen, Haibo; Yang, Liu Ground state solutions for fractional \(p\)-Kirchhoff equation. (English) Zbl 1498.35284 Electron. J. Differ. Equ. 2022, Paper No. 61, 14 p. (2022). MSC: 35J62 35R11 35A01 35A02 35A15 × Cite Format Result Cite Review PDF Full Text: Link
Chen, Ching-yu; Wu, Tsung-fang Positive solutions for nonlinear Schrödinger-Poisson systems with general nonlinearity. (English) Zbl 1492.35108 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 5, Paper No. 58, 22 p. (2022). MSC: 35J47 35J61 35A01 35A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Poláčik, Peter; Valdebenito, Darío A. Further results on quasiperiodic partially localized solutions of homogeneous elliptic equations on \(\mathbb{R}^{N + 1} \). (English) Zbl 1489.35098 J. Funct. Anal. 282, No. 12, Article ID 109457, 32 p. (2022). Reviewer: Simone Secchi (Milano) MSC: 35J61 35B08 35B15 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Côte, Raphaël; Yuan, Xu Asymptotics of solutions with a compactness property for the nonlinear damped Klein-Gordon equation. (English) Zbl 1484.35052 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112768, 34 p. (2022). MSC: 35B40 35L15 35L71 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Jian; Liu, Huize; Bao, Xue Bound state solutions for Kirchhoff type equations in dimension two. (English) Zbl 1480.35239 J. Math. Anal. Appl. 507, No. 2, Article ID 125796, 18 p. (2022). MSC: 35J62 35A01 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Alessio, Francesca G.; Montecchiari, Piero Gradient Lagrangian systems and semilinear PDE. (English) Zbl 1497.35208 Math. Eng. (Springfield) 3, No. 6, Paper No. 44, 28 p. (2021). MSC: 35J61 35B08 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
He, Jingran; Guo, Helin; Wang, Wenqing A \(p\)-Laplace eigenvalue problem with coercive potentials. (Chinese. English summary) Zbl 1513.35173 Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 5, 1323-1332 (2021). MSC: 35J20 35J60 47J30 × Cite Format Result Cite Review PDF Full Text: Link
Liu, Zhongyuan Multiple sign-changing solutions for a class of Schrödinger equations with saturable nonlinearity. (English) Zbl 1513.35252 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 2, 493-504 (2021). MSC: 35J61 35J66 35Q55 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Côte, Raphaël; Friederich, Xavier On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations. (English) Zbl 1491.35117 Commun. Partial Differ. Equations 46, No. 12, 2325-2385 (2021). Reviewer: Deniz Bilman (Cincinnati) MSC: 35C08 35B40 35B65 35Q55 35C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Carles, Rémi; Sparber, Christof Orbital stability vs. scattering in the cubic-quintic Schrödinger equation. (English) Zbl 1471.35254 Rev. Math. Phys. 33, No. 3, Article ID 2150004, 27 p. (2021). MSC: 35Q55 35A01 35C08 35P25 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Yang, Minbo; Zhao, Fukun; Zhao, Shunneng Classification of solutions to a nonlocal equation with doubly Hardy-Littlewood-Sobolev critical exponents. (English) Zbl 1473.35306 Discrete Contin. Dyn. Syst. 41, No. 11, 5209-5241 (2021). MSC: 35J91 35A01 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Chteoui, Riadh; Mabrouk, Anouar Ben; Cattani, Carlo Mixed concave-convex sub-superlinear Schrödinger equation: survey and development of some new cases. (English) Zbl 1473.35128 Rassias, Themistocles M. (ed.) et al., Nonlinear analysis and global optimization. Cham: Springer. Springer Optim. Appl. 167, 109-162 (2021). MSC: 35J10 35Q55 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Cortázar, Carmen; García-Huidobro, Marta; Herreros, Pilar; Tanaka, Satoshi On the uniqueness of solutions of a semilinear equation in an annulus. (English) Zbl 1471.35141 Commun. Pure Appl. Anal. 20, No. 4, 1479-1496 (2021). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35J61 35A02 35A24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mederski, Jarosław General class of optimal Sobolev inequalities and nonlinear scalar field equations. (English) Zbl 1460.35170 J. Differ. Equations 281, 411-441 (2021). MSC: 35J91 35J20 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Byeon, Jaeyoung; Choi, Sun-Ho; Kim, Yeonho; Moon, Sang-Hyuck Least energy solution for a scalar field equation with a singular nonlinearity. (English) Zbl 1459.35209 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 93-109 (2021). MSC: 35J91 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Maia, L. A.; Raom, D.; Ruviaro, R.; Sobral, Y. D. Mini-max algorithm via Pohozaev manifold. (English) Zbl 1459.35114 Nonlinearity 34, No. 1, 642-668 (2021). MSC: 35J20 35J91 65N99 65N22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fukaya, Noriyoshi; Hayashi, Masayuki Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities. (English) Zbl 1458.35387 Trans. Am. Math. Soc. 374, No. 2, 1421-1447 (2021). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q41 35A15 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Poláčik, Peter; Valdebenito, Darío A. Existence of partially localized quasiperiodic solutions of homogeneous elliptic equations on \(\mathbb{R}^{N+1}\). (English) Zbl 1479.35412 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 771-800 (2020). Reviewer: Said El Manouni (Berlin) MSC: 35J61 35B09 35B08 35B15 35B07 × Cite Format Result Cite Review PDF Full Text: DOI
Lewin, Mathieu; Rota Nodari, Simona The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications. (English) Zbl 1456.35098 Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 197, 48 p. (2020). MSC: 35J91 35A02 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dinh, Van Duong Existence and blow-up behavior of standing waves for the Gross-Pitaevskii functional with a higher order interaction. (English) Zbl 1448.35139 Math. Methods Appl. Sci. 43, No. 12, 7087-7105 (2020). MSC: 35J20 35A15 35B44 35J35 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Tai-Chia; Wu, Tsung-Fang Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions. (English) Zbl 1436.35097 Discrete Contin. Dyn. Syst. 40, No. 4, 2165-2187 (2020). MSC: 35J10 35J61 35A15 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Albalawi, Wedad; Mercuri, Carlo; Moroz, Vitaly Groundstate asymptotics for a class of singularly perturbed \(p\)-Laplacian problems in \({{\mathbb{R}}}^N\). (English) Zbl 1437.35400 Ann. Mat. Pura Appl. (4) 199, No. 1, 23-63 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J92 35B09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akahori, Takafumi; Ibrahim, Slim; Ikoma, Norihisa; Kikuchi, Hiroaki; Nawa, Hayato Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies. (English) Zbl 1418.35166 Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 120, 32 p. (2019). MSC: 35J61 35B09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ao, Yong; Zou, Wenming Ground states for a class of quasilinear elliptic systems with critical exponent. (English) Zbl 1418.35193 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 181, 222-248 (2019). MSC: 35J92 35J30 × Cite Format Result Cite Review PDF Full Text: DOI
Bhakta, Mousomi; Mukherjee, Debangana Nonlocal scalar field equations: qualitative properties, asymptotic profiles and local uniqueness of solutions. (English) Zbl 1416.35108 J. Differ. Equations 266, No. 11, 6985-7037 (2019). MSC: 35J60 35R11 35B40 35B09 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Zhi-Qiang; Zhang, Chengxiang Convergence from power-law to logarithm-law in nonlinear scalar field equations. (English) Zbl 1406.35372 Arch. Ration. Mech. Anal. 231, No. 1, 45-61 (2019). MSC: 35Q55 35B44 81Q05 42B35 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Zuji; Zhang, Xinguang Schrödinger-Kirchhoff equation involving double critical nonlinearities. (English) Zbl 1408.35040 J. Math. Anal. Appl. 471, No. 1-2, 358-377 (2019). MSC: 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Sfecci, Andrea On the structure of radial solutions for some quasilinear elliptic equations. (English) Zbl 1401.35138 J. Math. Anal. Appl. 470, No. 1, 515-531 (2019). MSC: 35J92 35B06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application. (English) Zbl 1438.35165 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 4, 1121-1142 (2018). MSC: 35J61 35A02 35B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zeng, Xiaoyu; Zhang, Yimin Existence and asymptotic behavior for the ground state of quasilinear elliptic equations. (English) Zbl 1404.35142 Adv. Nonlinear Stud. 18, No. 4, 725-744 (2018). MSC: 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ricaud, Julien Symmetry breaking in the periodic Thomas-Fermi-Dirac-von Weizsäcker model. (English) Zbl 1420.35376 Ann. Henri Poincaré 19, No. 10, 3129-3177 (2018). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 35Q40 81V55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Khatib, Alireza; Maia, Liliane A. A positive bound state for an asymptotically linear or superlinear Schrödinger equation in exterior domains. (English) Zbl 1397.35279 Commun. Pure Appl. Anal. 17, No. 6, 2789-2812 (2018). MSC: 35Q55 35J61 35J20 35J50 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Ogawa, Takayoshi; Seraku, Kento Logarithmic Sobolev and Shannon’s inequalities and an application to the uncertainty principle. (English) Zbl 1395.42067 Commun. Pure Appl. Anal. 17, No. 4, 1651-1669 (2018). MSC: 42B37 49K20 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Côte, Raphaël; Martel, Yvan Multi-travelling waves for the nonlinear Klein-Gordon equation. (English) Zbl 1403.35260 Trans. Am. Math. Soc. 370, No. 10, 7461-7487 (2018); corrigendum ibid. 375, No. 5, 3755-3757 (2022). Reviewer: Joseph Shomberg (Providence) MSC: 35Q51 35L71 35Q40 35B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Qin, Dongdong; Chen, Jing; Tang, XianHua Existence and non-existence of nontrivial solutions for Schrödinger systems via Nehari-Pohozaev manifold. (English) Zbl 1400.35095 Comput. Math. Appl. 74, No. 12, 3141-3160 (2017). MSC: 35J47 35J50 35J91 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Maia, Liliane A.; Pellacci, Benedetta Positive solutions for asymptotically linear problems in exterior domains. (English) Zbl 1388.35020 Ann. Mat. Pura Appl. (4) 196, No. 4, 1399-1430 (2017). Reviewer: Marcelo Furtado (Brasília) MSC: 35J10 35J61 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iagar, Razvan Gabriel; Laurençot, Philippe Self-similar extinction for a diffusive Hamilton-Jacobi equation with critical absorption. (English) Zbl 1391.35096 Calc. Var. Partial Differ. Equ. 56, No. 3, Paper No. 77, 38 p. (2017). MSC: 35C06 35B40 35K67 34C11 34B40 35B33 35K92 35F21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
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 Link
Muratov, Cyrill B.; Zhong, Xing Threshold phenomena for symmetric-decreasing radial solutions of reaction-diffusion equations. (English) Zbl 1364.35145 Discrete Contin. Dyn. Syst. 37, No. 2, 915-944 (2017). MSC: 35K57 35K15 35A15 35B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gu, Long-Jiang; Zeng, Xiaoyu; Zhou, Huan-Song Eigenvalue problem for a \(p\)-Laplacian equation with trapping potentials. (English) Zbl 1362.35132 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 148, 212-227 (2017). Reviewer: Patrick Winkert (Berlin) MSC: 35J60 35J92 35B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Troy, William C. Uniqueness of positive ground state solutions of the logarithmic Schrödinger equation. (English) Zbl 1348.35247 Arch. Ration. Mech. Anal. 222, No. 3, 1581-1600 (2016). MSC: 35Q55 34B15 × Cite Format Result Cite Review PDF Full Text: DOI
Shioji, Naoki; Watanabe, Kohtaro Uniqueness and nondegeneracy of positive radial solutions of \(\operatorname{div}(\rho\nabla u)+\rho (-gu+hu^p)=0\). (English) Zbl 1342.35086 Calc. Var. Partial Differ. Equ. 55, No. 2, Paper No. 32, 42 p. (2016). Reviewer: Gelu Paşa (Bucureşti) MSC: 35J15 35A02 34B18 35B09 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Mandel, Rainer Minimal energy solutions and infinitely many bifurcating branches for a class of saturated nonlinear Schrödinger systems. (English) Zbl 1334.35319 Adv. Nonlinear Stud. 16, No. 1, 95-113 (2016). MSC: 35Q55 35J47 35J50 35B32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clapp, Mónica; Maia, Liliane A. A positive bound state for an asymptotically linear or superlinear Schrödinger equation. (English) Zbl 1333.35247 J. Differ. Equations 260, No. 4, 3173-3192 (2016). Reviewer: Santosh Bhattarai (Buffalo) MSC: 35Q55 35B09 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
An, Yulian; Kim, Chan-Gyun; Shi, Junping Exact multiplicity of positive solutions for a \(p\)-Laplacian equation with positive convex nonlinearity. (English) Zbl 1329.35131 J. Differ. Equations 260, No. 3, 2091-2118 (2016). MSC: 35J25 35J05 35B32 34B18 35B09 × Cite Format Result Cite Review PDF Full Text: DOI Link
Farina, Alberto Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems. (English) Zbl 1335.35054 Discrete Contin. Dyn. Syst. 35, No. 12, 5869-5877 (2015). MSC: 35J50 35B53 35J47 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Esfahani, Amin Anisotropic Gagliardo-Nirenberg inequality with fractional derivatives. (English) Zbl 1337.26030 Z. Angew. Math. Phys. 66, No. 6, 3345-3356 (2015). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 26A33 35A23 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Qiuping; Ling, Zhi Least energy solutions for an elliptic problem involving sublinear term and peaking phenomenon. (English) Zbl 1326.35108 Commun. Pure Appl. Anal. 14, No. 6, 2411-2429 (2015). MSC: 35J20 35J60 58E05 × Cite Format Result Cite Review PDF Full Text: DOI
Cortázar, Carmen; García-Huidobro, Marta; Herreros, Pilar Multiplicity results for sign changing bound state solutions of a semilinear equation. (English) Zbl 1327.35107 J. Differ. Equations 259, No. 12, 7108-7134 (2015). Reviewer: Xavier Lamy (Leipzig) MSC: 35J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lewin, Mathieu; Rota Nodari, Simona Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation. (English) Zbl 1325.35179 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 673-698 (2015). MSC: 35Q40 81V35 35A02 35Q41 35B09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lehrer, Raquel; Maia, Liliane A.; Ruviaro, Ricardo Bound states of a nonhomogeneous nonlinear Schrödinger equation with non symmetric potential. (English) Zbl 1321.35210 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 651-672 (2015). MSC: 35Q55 35J20 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Lehrer, Raquel; Maia, Liliane A.; Squassina, Marco Asymptotically linear fractional Schrödinger equations. (English) Zbl 1319.35289 Complex Var. Elliptic Equ. 60, No. 4, 529-558 (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35R11 35Q40 58E05 35A01 35B09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maia, Liliane A.; Montefusco, Eugenio; Pellacci, Benedetta Singularly perturbed elliptic problems with nonautonomous asymptotically linear nonlinearities. (English) Zbl 1310.35119 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 116, 193-209 (2015). MSC: 35J61 35Q51 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Yongkuan; Yang, Jun The existence and uniqueness result for a relativistic nonlinear Schrödinger equation. (English) Zbl 1472.35349 Abstr. Appl. Anal. 2014, Article ID 362985, 10 p. (2014). MSC: 35Q55 35A01 35A02 35B09 35J62 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Sciunzi, Berardino Regularity and comparison principles for \(p\)-Laplace equations with vanishing source term. (English) Zbl 1323.35050 Commun. Contemp. Math. 16, No. 6, Article ID 1450013, 20 p. (2014). Reviewer: Huansong Zhou (Wuhan) MSC: 35J92 35B51 35B65 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Jing The estimation and profile of the critical value for a Schrödinger equation. (English) Zbl 1304.35240 Bound. Value Probl. 2014, Paper No. 202, 10 p. (2014). MSC: 35J10 × Cite Format Result Cite Review PDF Full Text: DOI
Alessio, Francesca; Montecchiari, Piero An energy constrained method for the existence of layered type solutions of NLS equations. (English) Zbl 1444.35057 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 4, 725-749 (2014). MSC: 35J60 35B08 35B40 35J20 34C37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruffini, B. Stability theorems for Gagliardo-Nirenberg-Sobolev inequalities: a reduction principle to the radial case. (English) Zbl 1315.46038 Rev. Mat. Complut. 27, No. 2, 509-539 (2014). MSC: 46E35 26D10 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Côte, Raphaël; Muñoz, Claudio Multi-solitons for nonlinear Klein-Gordon equations. (English) Zbl 1301.35126 Forum Math. Sigma 2, Paper No. e15, 38 p. (2014). Reviewer: Miguel A. Alejo (Rio de Janeiro) MSC: 35Q51 35L71 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moroz, Vitaly; Muratov, Cyrill B. Asymptotic properties of ground states of scalar field equations with a vanishing parameter. (English) Zbl 1295.35228 J. Eur. Math. Soc. (JEMS) 16, No. 5, 1081-1109 (2014). Reviewer: Guy Katriel (Haifa) MSC: 35J60 35B25 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adachi, Shinji; Shibata, Masataka; Watanabe, Tatsuya Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations with general nonlinearities. (English) Zbl 1273.35136 Commun. Pure Appl. Anal. 13, No. 1, 97-118 (2014). MSC: 35J62 35A15 35B40 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Case, Jeffrey S. Conformal invariants measuring the best constants for Gagliardo-Nirenberg-Sobolev inequalities. (English) Zbl 1275.49081 Calc. Var. Partial Differ. Equ. 48, No. 3-4, 507-526 (2013). MSC: 49Q20 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Almeida Maia, Liliane; Montefusco, Eugenio; Pellacci, Benedetta Weakly coupled nonlinear Schrödinger systems: the saturation effect. (English) Zbl 1257.35171 Calc. Var. Partial Differ. Equ. 46, No. 1-2, 325-351 (2013). MSC: 35Q55 35Q60 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Gladiali, Francesca; Squassina, Marco Uniqueness of ground states for a class of quasi-linear elliptic equations. (English) Zbl 1277.35126 Adv. Nonlinear Anal. 1, No. 2, 159-179 (2012). MSC: 35D99 35J62 58E05 74G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dávila, Juan; Montenegro, Marcelo Concentration for an elliptic equation with singular nonlinearity. (English. French summary) Zbl 1246.35085 J. Math. Pures Appl. (9) 97, No. 6, 545-578 (2012). Reviewer: Dian K. Palagachev (Bari) MSC: 35J60 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Korman, Philip; Li, Yi A computer assisted study of uniqueness of ground state solutions. (English) Zbl 1241.35078 J. Comput. Appl. Math. 236, No. 11, 2838-2843 (2012). MSC: 35J61 65M80 × Cite Format Result Cite Review PDF Full Text: DOI
Hsu, Tsing-San; Lin, Huei-Li; Hu, Chung-Che Multiple positive solutions of quasilinear elliptic equations in \(\mathbb{R}^n\). (English) Zbl 1236.35066 J. Math. Anal. Appl. 388, No. 1, 500-512 (2012). MSC: 35J62 35R02 35B09 × Cite Format Result Cite Review PDF Full Text: DOI
Adachi, Shinji; Watanabe, Tatsuya Uniqueness of the ground state solutions of quasilinear Schrödinger equations. (English) Zbl 1232.35067 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 819-833 (2012). MSC: 35J62 35A02 82D10 35J61 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI Link
Maia, L. A.; Ruviaro, R. Sign-changing solutions for a Schrödinger equation with saturable nonlinearity. (English) Zbl 1229.35271 Milan J. Math. 79, No. 1, 259-271 (2011). MSC: 35Q55 35J61 35J20 47J30 × Cite Format Result Cite Review PDF Full Text: DOI
Cortázar, Carmen; García-Huidobro, Marta; Yarur, Cecilia S. On the uniqueness of sign changing bound state solutions of a semilinear equation. (English) Zbl 1236.35056 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 4, 599-621 (2011). MSC: 35J61 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Xianling Existence and uniqueness for the \(p(x)\)-Laplacian-Dirichlet problems. (English) Zbl 1234.35111 Math. Nachr. 284, No. 11-12, 1435-1445 (2011). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35J70 35J92 35B09 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Dolbeault, Jean; Stańczy, Robert Non-existence and uniqueness results for supercritical semilinear elliptic equations. (English) Zbl 1214.35026 Ann. Henri Poincaré 10, No. 7, 1311-1333 (2010). Reviewer: Florin Catrina (Queens) MSC: 35J61 35A02 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Huei-Li Multiple solutions of quasilinear elliptic equations in \(\mathbb R^N\). (English) Zbl 1207.35169 Int. J. Differ. Equ. 2010, Article ID 673526, 12 p. (2010). MSC: 35J92 35J62 35B09 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Castro, Alfonso; Padrón, Víctor Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary. (English) Zbl 1206.35005 Mem. Am. Math. Soc. 976, v, 72 p. (2010). Reviewer: Adrian Muntean (Eindhoven) MSC: 35-02 35J60 85A25 35K60 80A20 35B32 35R35 35B44 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Jang, Jaeduck Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \(\mathbb R^N\), \(N \geq 2\). (English) Zbl 1209.34030 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 7, 2189-2198 (2010). Reviewer: Ruyun Ma (Lanzhou) MSC: 34B18 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Chunshan Locating the peaks of least-energy solutions to a quasilinear elliptic Neumann problem. II. (English) Zbl 1187.35102 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4188-4199 (2010). MSC: 35J62 35J92 35J93 35J25 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Hsu, Tsing-San Existence and multiplicity of positive solutions to a class of quasilinear elliptic equations in \(\mathbb R^N\). (English) Zbl 1189.35111 Bound. Value Probl. 2010, Article ID 579387, 13 p. (2010). MSC: 35J62 35J92 35B09 35B45 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Castorina, D. Uniqueness of positive radial solutions for quasilinear elliptic equations in an annulus. (English) Zbl 1184.35144 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2195-2203 (2010). MSC: 35J70 35B05 35B65 35J92 × Cite Format Result Cite Review PDF Full Text: DOI