Rialland, Guillaume Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes. (English) Zbl 07804828 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113474, 30 p. (2024). MSC: 35Q55 35C08 35B40 35B20 35B35 PDFBibTeX XMLCite \textit{G. Rialland}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113474, 30 p. (2024; Zbl 07804828) Full Text: DOI arXiv
Castro, Alejandro J.; Esfahani, Amin; Zhapsarbayeva, Lyailya A note on the quartic generalized Korteweg-de Vries equation in weighted Sobolev spaces. (English) Zbl 1527.35344 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 238, Article ID 113400, 21 p. (2024). MSC: 35Q53 35A01 35A02 35B65 35B35 26A33 35R11 PDFBibTeX XMLCite \textit{A. J. Castro} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 238, Article ID 113400, 21 p. (2024; Zbl 1527.35344) Full Text: DOI arXiv
Bai, Ruobing; Li, Bing Finite time/infinite time blow-up behaviors for the inhomogeneous nonlinear Schrödinger equation. (English) Zbl 1515.35239 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113266, 10 p. (2023). MSC: 35Q55 35Q41 35B44 PDFBibTeX XMLCite \textit{R. Bai} and \textit{B. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113266, 10 p. (2023; Zbl 1515.35239) Full Text: DOI
Kita, Naoyasu; Masaki, Satoshi; Segata, Jun-ichi; Uriya, Kota Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension. (English) Zbl 1510.35305 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113216, 22 p. (2023). MSC: 35Q55 35Q41 35A22 35B40 PDFBibTeX XMLCite \textit{N. Kita} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113216, 22 p. (2023; Zbl 1510.35305) Full Text: DOI arXiv
Hasegawa, Shoichi; Ikoma, Norihisa; Kawakami, Tatsuki On weak solutions to a fractional Hardy-Hénon equation. II: Existence. (English) Zbl 1504.35621 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113165, 48 p. (2023). MSC: 35R11 35B09 35B33 35B35 35D30 35J61 PDFBibTeX XMLCite \textit{S. Hasegawa} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113165, 48 p. (2023; Zbl 1504.35621) Full Text: DOI arXiv
Fukaya, Noriyoshi; Hayashi, Masayuki Instability of degenerate solitons for nonlinear Schrödinger equations with derivative. (English) Zbl 1492.35307 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112954, 25 p. (2022). MSC: 35Q55 PDFBibTeX XMLCite \textit{N. Fukaya} and \textit{M. Hayashi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112954, 25 p. (2022; Zbl 1492.35307) Full Text: DOI arXiv
Van Tin, Phan Construction of multi-solitons and multi kink-solitons of derivative nonlinear Schrödinger equations. (English) Zbl 1489.35258 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112915, 24 p. (2022). MSC: 35Q55 35C08 35Q51 PDFBibTeX XMLCite \textit{P. Van Tin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112915, 24 p. (2022; Zbl 1489.35258) Full Text: DOI arXiv
Wang, Zhong Isoinertial operators around the KdV multi-solitons. (English) Zbl 1490.35355 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112820, 24 p. (2022). MSC: 35Q35 35Q53 35Q51 37K06 37K10 37K15 35C08 PDFBibTeX XMLCite \textit{Z. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112820, 24 p. (2022; Zbl 1490.35355) 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 PDFBibTeX XMLCite \textit{R. Côte} and \textit{X. Yuan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112768, 34 p. (2022; Zbl 1484.35052) Full Text: DOI arXiv
Chen, Gong; Jendrej, Jacek Kink networks for scalar fields in dimension \(1 + 1\). (English) Zbl 1479.35208 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 215, Article ID 112643, 23 p. (2022). MSC: 35C08 35L71 PDFBibTeX XMLCite \textit{G. Chen} and \textit{J. Jendrej}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 215, Article ID 112643, 23 p. (2022; Zbl 1479.35208) 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 PDFBibTeX XMLCite \textit{N. Matsui}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112497, 32 p. (2021; Zbl 1479.35813) Full Text: DOI arXiv
Liu, Fei Justina; Tsai, Tai-Peng; Zwiers, Ian Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities. (English) Zbl 1487.35170 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 211, Article ID 112409, 34 p. (2021). MSC: 35C07 34B40 35Q55 PDFBibTeX XMLCite \textit{F. J. Liu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 211, Article ID 112409, 34 p. (2021; Zbl 1487.35170) Full Text: DOI arXiv
Cazenave, Thierry; Han, Zheng; Naumkin, Ivan Asymptotic behavior for a dissipative nonlinear Schrödinger equation. (English) Zbl 1458.35383 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 205, Article ID 112243, 38 p. (2021). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{T. Cazenave} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 205, Article ID 112243, 38 p. (2021; Zbl 1458.35383) Full Text: DOI arXiv
Ning, Cui Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case. (English) Zbl 1436.35068 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111665, 23 p. (2020). MSC: 35C08 35B35 35Q55 PDFBibTeX XMLCite \textit{C. Ning}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111665, 23 p. (2020; Zbl 1436.35068) Full Text: DOI
Ding, Danping; Wang, Kai Decay property of solutions near the traveling wave solutions for the second-order Camassa-Holm equation. (English) Zbl 1418.35035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 183, 230-258 (2019). MSC: 35B40 35C07 35Q53 35Q55 PDFBibTeX XMLCite \textit{D. Ding} and \textit{K. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 183, 230--258 (2019; Zbl 1418.35035) Full Text: DOI
Díaz, J. I.; Gómez-Castro, D.; Vázquez, J. L. The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach. (English) Zbl 1402.35093 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part A, 325-360 (2018). MSC: 35J10 35D30 35J67 35J75 35R11 PDFBibTeX XMLCite \textit{J. I. Díaz} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part A, 325--360 (2018; Zbl 1402.35093) Full Text: DOI arXiv
Benci, Vieri; Fortunato, Donato Hylomorphic solitons for the Benjamin-Ono and the fractional KdV equations. (English) Zbl 1345.35014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 41-57 (2016). MSC: 35C08 35R11 35Q53 35A15 35Q74 35B35 PDFBibTeX XMLCite \textit{V. Benci} and \textit{D. Fortunato}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 41--57 (2016; Zbl 1345.35014) Full Text: DOI arXiv
Goldstein, Jerome A.; Hauer, Daniel; Rhandi, Abdelaziz Existence and nonexistence of positive solutions of \(p\)-Kolmogorov equations perturbed by a Hardy potential. (English) Zbl 1328.35005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 121-154 (2016). MSC: 35A01 35B09 35B25 35D30 35D35 35K92 PDFBibTeX XMLCite \textit{J. A. Goldstein} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 121--154 (2016; Zbl 1328.35005) Full Text: DOI
Díaz, Jesus Ildefonso; Mingazzini, Tommaso Free boundaries touching the boundary of the domain for some reaction-diffusion problems. (English) Zbl 1325.35290 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 119, 275-294 (2015). Reviewer: Adrian Muntean (Karlstadt) MSC: 35R35 35K57 PDFBibTeX XMLCite \textit{J. I. Díaz} and \textit{T. Mingazzini}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 119, 275--294 (2015; Zbl 1325.35290) Full Text: DOI
Chen, Yan-Hong; Zheng, Youquan Peak solutions for the fractional Nirenberg problem. (English) Zbl 1322.35161 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 122, 100-124 (2015). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35R11 PDFBibTeX XMLCite \textit{Y.-H. Chen} and \textit{Y. Zheng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 122, 100--124 (2015; Zbl 1322.35161) Full Text: DOI arXiv
Hineman, Jay L.; Ryham, Rolf J. Very weak solutions for Poisson-Nernst-Planck system. (English) Zbl 1309.35021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 115, 12-24 (2015). MSC: 35J47 35D30 35J05 PDFBibTeX XMLCite \textit{J. L. Hineman} and \textit{R. J. Ryham}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 115, 12--24 (2015; Zbl 1309.35021) Full Text: DOI
Skrzypczak, Iwona Hardy-type inequalities derived from \(p\)-harmonic problems. (English) Zbl 1282.26040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 93, 30-50 (2013). MSC: 26D15 35J60 35R45 PDFBibTeX XMLCite \textit{I. Skrzypczak}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 93, 30--50 (2013; Zbl 1282.26040) Full Text: DOI
Cuomo, Salvatore; Perrotta, Adamaria On best constants in Hardy inequalities with a remainder term. (English) Zbl 1220.35031 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 16, 5784-5792 (2011). MSC: 35J20 26D10 46E35 35D30 49J40 PDFBibTeX XMLCite \textit{S. Cuomo} and \textit{A. Perrotta}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 16, 5784--5792 (2011; Zbl 1220.35031) Full Text: DOI
Dias, João-Paulo; Figueira, Mário; Oliveira, Filipe Well-posedness and existence of bound states for a coupled Schrödinger-gKdV system. (English) Zbl 1194.35405 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 8, 2686-2698 (2010). MSC: 35Q55 35Q53 81Q05 PDFBibTeX XMLCite \textit{J.-P. Dias} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 8, 2686--2698 (2010; Zbl 1194.35405) Full Text: DOI
Yuxiang, Li Optimal conditions for a priori estimates for semilinear elliptic systems with two components. (English) Zbl 1186.35056 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1850-1864 (2010). MSC: 35J57 35J47 35J61 35B45 35D30 35B65 PDFBibTeX XMLCite \textit{L. Yuxiang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1850--1864 (2010; Zbl 1186.35056) Full Text: DOI
Ferrero, Alberto; Warnault, Guillaume On solutions of second and fourth order elliptic equations with power-type nonlinearities. (English) Zbl 1171.35374 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 8, 2889-2902 (2009). MSC: 35J60 35J65 35B65 35B30 PDFBibTeX XMLCite \textit{A. Ferrero} and \textit{G. Warnault}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 8, 2889--2902 (2009; Zbl 1171.35374) Full Text: DOI
Berchio, Elvise On some higher order Hardy-Rellich type inequalities with boundary terms. (English) Zbl 1162.26311 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 8, 2834-2841 (2009). MSC: 26D10 47A75 35J40 PDFBibTeX XMLCite \textit{E. Berchio}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 8, 2834--2841 (2009; Zbl 1162.26311) Full Text: DOI
Goldstein, Jerome A.; Kombe, Ismail The Hardy inequality and nonlinear parabolic equations on Carnot groups. (English) Zbl 1154.35061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4643-4653 (2008). Reviewer: Marco Biroli (Milano) MSC: 35K65 35R05 22E30 26D10 PDFBibTeX XMLCite \textit{J. A. Goldstein} and \textit{I. Kombe}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4643--4653 (2008; Zbl 1154.35061) Full Text: DOI arXiv
García-Azorero, J.; Peral, I.; Primo, A. A borderline case in elliptic problems involving weights of Caffarelli-Kohn-Nirenberg type. (English) Zbl 1387.35224 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 6, 1878-1894 (2007). MSC: 35J60 35J25 35J15 35J20 35J65 PDFBibTeX XMLCite \textit{J. García-Azorero} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 6, 1878--1894 (2007; Zbl 1387.35224) Full Text: DOI
Sanchón, Manel Boundedness of the extremal solution of some \(p\)-Laplacian problems. (English) Zbl 1143.35064 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 1, 281-294 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J70 35J60 35B45 35B65 PDFBibTeX XMLCite \textit{M. Sanchón}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 1, 281--294 (2007; Zbl 1143.35064) Full Text: DOI Link
Arrieta, José M.; Cholewa, Jan W.; Dłotko, Tomasz; Rodríguez-Bernal, Aníbal Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains. (English) Zbl 1058.35102 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 4, 515-554 (2004). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 35K57 35B41 PDFBibTeX XMLCite \textit{J. M. Arrieta} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 4, 515--554 (2004; Zbl 1058.35102) Full Text: DOI
Kombe, Ismail Doubly nonlinear parabolic equations with singular lower order term. (English) Zbl 1047.35065 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 2, 185-199 (2004). Reviewer: Mersaid Aripov (Tashkent) MSC: 35K60 35K65 35B33 PDFBibTeX XMLCite \textit{I. Kombe}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 2, 185--199 (2004; Zbl 1047.35065) Full Text: DOI
Sandeep, K.; Sreenadh, K. Asymptotic behaviour of the first eigenfunction of a Hardy-Sobolev operator. (English) Zbl 1126.35349 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 3, 545-563 (2003). Reviewer: Messoud A. Efendiev (München) MSC: 35P30 35B40 35J60 PDFBibTeX XMLCite \textit{K. Sandeep} and \textit{K. Sreenadh}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 3, 545--563 (2003; Zbl 1126.35349) Full Text: DOI
Cortazar, Carmen; Elgueta, Manuel; Rossi, Julio D. Short time behavior near the boundary for the heat equation with a nonlinear boundary condition. (English) Zbl 1004.35072 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 50, No. 2, 205-213 (2002). Reviewer: Pavol Quittner (Bratislava) MSC: 35K60 35B40 35B05 PDFBibTeX XMLCite \textit{C. Cortazar} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 50, No. 2, 205--213 (2002; Zbl 1004.35072) Full Text: DOI
Fila, Marek; Guo, Jong-Shenq Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition. (English) Zbl 0994.35066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 7, 995-1002 (2002). Reviewer: Lubomira Softova (Bari) MSC: 35K60 35B05 35B60 PDFBibTeX XMLCite \textit{M. Fila} and \textit{J.-S. Guo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 7, 995--1002 (2002; Zbl 0994.35066) Full Text: DOI