Ruan, Xinran; Yi, Wenfan Ground states and energy asymptotics of the nonlinear Schrödinger equation with a general power nonlinearity. (English) Zbl 1475.35156 Commun. Comput. Phys. 24, No. 4, 1121-1142 (2018). MSC: 35J61 35B40 35P30 35Q55 PDFBibTeX XMLCite \textit{X. Ruan} and \textit{W. Yi}, Commun. Comput. Phys. 24, No. 4, 1121--1142 (2018; Zbl 1475.35156) Full Text: DOI arXiv
Li, Gui-Dong; Tang, Chun-Lei Existence of a ground state solution for Choquard equation with the upper critical exponent. (English) Zbl 1442.35160 Comput. Math. Appl. 76, No. 11-12, 2635-2647 (2018). MSC: 35J91 35J20 PDFBibTeX XMLCite \textit{G.-D. Li} and \textit{C.-L. Tang}, Comput. Math. Appl. 76, No. 11--12, 2635--2647 (2018; Zbl 1442.35160) Full Text: DOI
Hirano, Norimichi; Kim, Wan Se Multiple existence of solutions for a nonhomogeneous elliptic problems on \(\mathbb{R}^N\). (Multiple existence of solutions for a nonhomogeneous ellpitic problems on \(R^N\).) (English) Zbl 1428.35137 East Asian Math. J. 34, No. 5, 703-713 (2018). MSC: 35J91 35A01 PDFBibTeX XMLCite \textit{N. Hirano} and \textit{W. S. Kim}, East Asian Math. J. 34, No. 5, 703--713 (2018; Zbl 1428.35137) Full Text: DOI
Rao, Ling; Chang, Shih-Sen Numerical solution for a nonlinear obstacle problem. (English) Zbl 1438.35190 J. Nonlinear Sci. Appl. 11, No. 12, 1302-1312 (2018). MSC: 35J87 35J61 PDFBibTeX XMLCite \textit{L. Rao} and \textit{S.-S. Chang}, J. Nonlinear Sci. Appl. 11, No. 12, 1302--1312 (2018; Zbl 1438.35190) Full Text: DOI
Zhong, Xiao-Jing; Tang, Chun-Lei Ground state sign-changing solutions for a class of subcritical Choquard equations with a critical pure power nonlinearity in \(\mathbb{R}^N\). (English) Zbl 1423.35123 Comput. Math. Appl. 76, No. 1, 23-34 (2018). MSC: 35J91 35B33 35A01 35J20 PDFBibTeX XMLCite \textit{X.-J. Zhong} and \textit{C.-L. Tang}, Comput. Math. Appl. 76, No. 1, 23--34 (2018; Zbl 1423.35123) Full Text: DOI
Sidorov, M. V. Green-Rvachev’s quasi-function method for constructing two-sided approximations to positive solution of nonlinear boundary value problems. (English) Zbl 1414.35059 Carpathian Math. Publ. 10, No. 2, 360-375 (2018). MSC: 35J05 35J91 35B09 PDFBibTeX XMLCite \textit{M. V. Sidorov}, Carpathian Math. Publ. 10, No. 2, 360--375 (2018; Zbl 1414.35059) Full Text: DOI
Azeroual, Boubker; Zertiti, Abderrahim Localized radial solution to a superlinear Dirichlet problem in annular domain. (English) Zbl 1415.35136 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 67, No. 1, 129-140 (2018). MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{B. Azeroual} and \textit{A. Zertiti}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 67, No. 1, 129--140 (2018; Zbl 1415.35136)
Hiesmayr, Fritz Spectrum and index of two-sided Allen-Cahn minimal hypersurfaces. (English) Zbl 1462.53057 Commun. Partial Differ. Equations 43, No. 11, 1541-1565 (2018). MSC: 53C42 49K35 58E05 35J91 49Q05 PDFBibTeX XMLCite \textit{F. Hiesmayr}, Commun. Partial Differ. Equations 43, No. 11, 1541--1565 (2018; Zbl 1462.53057) Full Text: DOI arXiv
Grossi, Massimo; Stehlick, Alexandre Regularity and asymptotic approach to semilinear elliptic equations with singular potential. (English) Zbl 1417.35044 Indiana Univ. Math. J. 67, No. 6, 2313-2335 (2018). Reviewer: Giovanni Anello (Messina) MSC: 35J91 35J25 35B65 PDFBibTeX XMLCite \textit{M. Grossi} and \textit{A. Stehlick}, Indiana Univ. Math. J. 67, No. 6, 2313--2335 (2018; Zbl 1417.35044) Full Text: DOI Link
Alves, Claudianor O.; Barros, Luciano M. Existence and multiplicity of solutions for a class of elliptic problem with critical growth. (English) Zbl 1421.35142 Monatsh. Math. 187, No. 2, 195-215 (2018). Reviewer: Patrick Winkert (Berlin) MSC: 35J91 35B09 35B33 35A15 PDFBibTeX XMLCite \textit{C. O. Alves} and \textit{L. M. Barros}, Monatsh. Math. 187, No. 2, 195--215 (2018; Zbl 1421.35142) Full Text: DOI
Cerami, Giovanna; Pomponio, Alessio On some scalar field equations with competing coefficients. (English) Zbl 1412.35142 Int. Math. Res. Not. 2018, No. 8, 2481-2507 (2018). MSC: 35J91 PDFBibTeX XMLCite \textit{G. Cerami} and \textit{A. Pomponio}, Int. Math. Res. Not. 2018, No. 8, 2481--2507 (2018; Zbl 1412.35142) Full Text: DOI arXiv
Pörner, Frank; Wachsmuth, Daniel Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations. (English) Zbl 1407.49031 Math. Control Relat. Fields 8, No. 1, 315-335 (2018). MSC: 49K20 49J30 49M20 49N45 49K30 PDFBibTeX XMLCite \textit{F. Pörner} and \textit{D. Wachsmuth}, Math. Control Relat. Fields 8, No. 1, 315--335 (2018; Zbl 1407.49031) Full Text: DOI arXiv
Lou, Hongwei; Yong, Jiongmin Second-order necessary conditions for optimal control of semilinear elliptic equations with leading term containing controls. (English) Zbl 1407.49028 Math. Control Relat. Fields 8, No. 1, 57-88 (2018). MSC: 49K20 35J61 35Q93 PDFBibTeX XMLCite \textit{H. Lou} and \textit{J. Yong}, Math. Control Relat. Fields 8, No. 1, 57--88 (2018; Zbl 1407.49028) Full Text: DOI arXiv
Takahashi, Kazune Positive solution for Hénon type equations with critical Sobolev growth. (English) Zbl 1405.35032 Electron. J. Differ. Equ. 2018, Paper No. 194, 17 p. (2018). MSC: 35J20 35J60 35J61 35J91 PDFBibTeX XMLCite \textit{K. Takahashi}, Electron. J. Differ. Equ. 2018, Paper No. 194, 17 p. (2018; Zbl 1405.35032) Full Text: Link
Tietz, Christoph Existence and inclusion for nonlocal elliptic boundary value problems. (English) Zbl 1422.35084 Nonlinear Stud. 25, No. 3, 475-487 (2018). MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{C. Tietz}, Nonlinear Stud. 25, No. 3, 475--487 (2018; Zbl 1422.35084) Full Text: Link
Goodrich, Christopher S. Radially symmetric solutions of elliptic PDEs with uniformly negative weight. (English) Zbl 1412.35144 Ann. Mat. Pura Appl. (4) 197, No. 5, 1585-1611 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J91 35J25 35B09 45G10 45M20 47H30 92D40 PDFBibTeX XMLCite \textit{C. S. Goodrich}, Ann. Mat. Pura Appl. (4) 197, No. 5, 1585--1611 (2018; Zbl 1412.35144) Full Text: DOI
Lin, Chang-Shou Conformal geometry and the Painlevé VI equation. (English) Zbl 1410.34265 Ji, Lizhen (ed.) et al., Uniformization, Riemann-Hilbert correspondence, Calabi-Yau manifolds and Picard-Fuchs equations. Based on the conference, Institute Mittag-Leffler, Stockholm, Sweden, July 13–18, 2015. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 42, 187-217 (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M35 34M55 34M56 30B50 53A30 35J91 12H05 PDFBibTeX XMLCite \textit{C.-S. Lin}, Adv. Lect. Math. (ALM) 42, 187--217 (2018; Zbl 1410.34265)
Wang, Biao; Zhang, Zhengce Asymptotic behavior of positive solutions of the Hénon equation. (English) Zbl 1408.35055 Rocky Mt. J. Math. 48, No. 8, 2717-2749 (2018). MSC: 35J91 35B09 PDFBibTeX XMLCite \textit{B. Wang} and \textit{Z. Zhang}, Rocky Mt. J. Math. 48, No. 8, 2717--2749 (2018; Zbl 1408.35055) Full Text: DOI Euclid
Wei, Juncheng; Zhang, Lei Nondegeneracy of the Gauss curvature equation with negative conic singularity. (English) Zbl 1406.35130 Pac. J. Math. 297, No. 2, 455-475 (2018). MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{J. Wei} and \textit{L. Zhang}, Pac. J. Math. 297, No. 2, 455--475 (2018; Zbl 1406.35130) Full Text: DOI arXiv
Ngô, Quoc Anh; Nguyen, Van Hoang; Phan, Quoc Hung A pointwise inequality for a biharmonic equation with negative exponent and related problems. (English) Zbl 1408.35054 Nonlinearity 31, No. 12, 5484-5499 (2018). MSC: 35J91 30B30 PDFBibTeX XMLCite \textit{Q. A. Ngô} et al., Nonlinearity 31, No. 12, 5484--5499 (2018; Zbl 1408.35054) Full Text: DOI arXiv
Fang, Yanqin; Tang, De Method of sub-super solutions for fractional elliptic equations. (English) Zbl 1404.35185 Discrete Contin. Dyn. Syst., Ser. B 23, No. 8, 3153-3165 (2018). MSC: 35J61 35R11 PDFBibTeX XMLCite \textit{Y. Fang} and \textit{D. Tang}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 8, 3153--3165 (2018; Zbl 1404.35185) Full Text: DOI
Dipierro, Serena; Farina, Alberto; Valdinoci, Enrico Density estimates for degenerate double-well potentials. (English) Zbl 1404.35184 SIAM J. Math. Anal. 50, No. 6, 6333-6347 (2018). MSC: 35J61 35J62 35J70 35J75 35J15 35J20 PDFBibTeX XMLCite \textit{S. Dipierro} et al., SIAM J. Math. Anal. 50, No. 6, 6333--6347 (2018; Zbl 1404.35184) Full Text: DOI arXiv
Chernov, A. V. Total preservation of the solvability of the semilinear global electric circuit equation. (English. Russian original) Zbl 1403.93104 Differ. Equ. 54, No. 8, 1073-1082 (2018); translation from Differ. Uravn. 54, No. 8, 1090-1099 (2018). MSC: 93C20 35J61 PDFBibTeX XMLCite \textit{A. V. Chernov}, Differ. Equ. 54, No. 8, 1073--1082 (2018; Zbl 1403.93104); translation from Differ. Uravn. 54, No. 8, 1090--1099 (2018) Full Text: DOI
Su, Yu; Chen, Haibo The existence of nontrivial solution for biharmonic equation with sign-changing potential. (English) Zbl 1404.35203 Math. Methods Appl. Sci. 41, No. 16, 6170-6183 (2018). MSC: 35J91 31B30 PDFBibTeX XMLCite \textit{Y. Su} and \textit{H. Chen}, Math. Methods Appl. Sci. 41, No. 16, 6170--6183 (2018; Zbl 1404.35203) Full Text: DOI
Chan, Hardy; Wei, Juncheng On De Giorgi’s conjecture: recent progress and open problems. (English) Zbl 1402.35023 Sci. China, Math. 61, No. 11, 1925-1946 (2018). MSC: 35B08 35J61 35-02 PDFBibTeX XMLCite \textit{H. Chan} and \textit{J. Wei}, Sci. China, Math. 61, No. 11, 1925--1946 (2018; Zbl 1402.35023) Full Text: DOI
Hong, Jieliang Renormalization of local times of super-Brownian motion. (English) Zbl 1402.60097 Electron. J. Probab. 23, Paper No. 109, 45 p. (2018). MSC: 60J55 60J68 35J61 60J65 PDFBibTeX XMLCite \textit{J. Hong}, Electron. J. Probab. 23, Paper No. 109, 45 p. (2018; Zbl 1402.60097) Full Text: DOI arXiv Euclid
Wang, Lixia Multiple solutions for nonhomogeneous Choquard equations. (English) Zbl 1401.35123 Electron. J. Differ. Equ. 2018, Paper No. 172, 27 p. (2018). MSC: 35J91 35J20 PDFBibTeX XMLCite \textit{L. Wang}, Electron. J. Differ. Equ. 2018, Paper No. 172, 27 p. (2018; Zbl 1401.35123) Full Text: Link
Sang, Yanbin; Luo, Xiaorong; Wang, Yongqing The Choquard equation with weighted terms and Sobolev-Hardy exponent. (English) Zbl 1404.35202 J. Funct. Spaces 2018, Article ID 7210680, 22 p. (2018). MSC: 35J91 35B09 PDFBibTeX XMLCite \textit{Y. Sang} et al., J. Funct. Spaces 2018, Article ID 7210680, 22 p. (2018; Zbl 1404.35202) Full Text: DOI
Sato, Yohei; Shibata, Masataka Infinitely many solutions for a nonlinear Schrödinger equation with general nonlinearity. (English) Zbl 1401.35122 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 137, 31 p. (2018). MSC: 35J91 35J10 35A01 PDFBibTeX XMLCite \textit{Y. Sato} and \textit{M. Shibata}, Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 137, 31 p. (2018; Zbl 1401.35122) Full Text: DOI
Zhang, Tao; Zhou, Chunqin Liouville type equation with exponential Neumann boundary condition and with singular data. (English) Zbl 1401.35124 Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 163, 32 p. (2018). MSC: 35J91 35J65 35B44 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{C. Zhou}, Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 163, 32 p. (2018; Zbl 1401.35124) Full Text: DOI
Kamburov, Nikola; Sirakov, Boyan Uniform a priori estimates for positive solutions of the Lane-Emden equation in the plane. (English) Zbl 1401.35118 Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 164, 8 p. (2018). MSC: 35J91 35B09 35B45 PDFBibTeX XMLCite \textit{N. Kamburov} and \textit{B. Sirakov}, Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 164, 8 p. (2018; Zbl 1401.35118) Full Text: DOI arXiv
Carl, Siegfried; Costa, David G.; Tehrani, Hossein Extremal solutions of logistic-type equations in exterior domain in \(\mathbb{R}^2\). (English) Zbl 1401.35115 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 176, 272-287 (2018). MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{S. Carl} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 176, 272--287 (2018; Zbl 1401.35115) Full Text: DOI
Li, Yanyan; Wei, Juncheng; Xu, Haoyuan Multi-bump solutions of \(-\Delta = K(x)u^{\frac{n+2}{n-2}}\) on lattices in \(\mathbb{R}^n\). (English) Zbl 1410.35047 J. Reine Angew. Math. 743, 163-211 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J91 35B09 35A01 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Reine Angew. Math. 743, 163--211 (2018; Zbl 1410.35047) Full Text: DOI arXiv
Yao, Ruofei; Chen, Hongbin; Li, Yi Symmetry and monotonicity of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical cone. (English) Zbl 1400.35140 Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 154, 28 p. (2018). MSC: 35J91 35J25 35B06 35B09 35B50 PDFBibTeX XMLCite \textit{R. Yao} et al., Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 154, 28 p. (2018; Zbl 1400.35140) Full Text: DOI
Jevnikar, Aleks; Wei, Juncheng; Yang, Wen Classification of blow-up limits for the sinh-Gordon equation. (English) Zbl 1449.35224 Differ. Integral Equ. 31, No. 9-10, 657-684 (2018). MSC: 35J61 35R01 35B44 PDFBibTeX XMLCite \textit{A. Jevnikar} et al., Differ. Integral Equ. 31, No. 9--10, 657--684 (2018; Zbl 1449.35224) Full Text: arXiv
Klimsiak, Tomasz; Rozkosz, Andrzej On semilinear elliptic equations with diffuse measures. (English) Zbl 1401.35097 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 4, Paper No. 35, 23 p. (2018). MSC: 35J61 31C25 PDFBibTeX XMLCite \textit{T. Klimsiak} and \textit{A. Rozkosz}, NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 4, Paper No. 35, 23 p. (2018; Zbl 1401.35097) Full Text: DOI arXiv
Agudelo, Oscar; Correa, Santiago; Restrepo, Daniel; Vélez, Carlos Multiplicity results and qualitative properties for Neumann semilinear elliptic problems. (English) Zbl 1400.35133 J. Math. Anal. Appl. 468, No. 1, 141-160 (2018). MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{O. Agudelo} et al., J. Math. Anal. Appl. 468, No. 1, 141--160 (2018; Zbl 1400.35133) Full Text: DOI
Jiao, Yujuan; Tang, Zhongwei On the least energy solutions for semilinear Schrödinger equation with electromagnetic fields involving critical growth and indefinite potentials. (English) Zbl 1405.35047 Appl. Anal. 97, No. 12, 2157-2169 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J61 35B33 PDFBibTeX XMLCite \textit{Y. Jiao} and \textit{Z. Tang}, Appl. Anal. 97, No. 12, 2157--2169 (2018; Zbl 1405.35047) Full Text: DOI
Nekludov, Alekseĭ Vladimirivich Asymptotic of solutions of two-dimesional Gauss-Bierbach-Rademacher equation with variable coefficients in external area. (Russian. English summary) Zbl 1400.35121 Sib. Èlektron. Mat. Izv. 15, 338-354 (2018). MSC: 35J61 PDFBibTeX XMLCite \textit{A. V. Nekludov}, Sib. Èlektron. Mat. Izv. 15, 338--354 (2018; Zbl 1400.35121)
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 PDFBibTeX XMLCite \textit{A. Khatib} and \textit{L. A. Maia}, Commun. Pure Appl. Anal. 17, No. 6, 2789--2812 (2018; Zbl 1397.35279) Full Text: DOI
Wang, Qingfang The Nehari manifold for a fractional Laplacian equation involving critical nonlinearities. (English) Zbl 1398.35073 Commun. Pure Appl. Anal. 17, No. 6, 2261-2281 (2018). MSC: 35J61 35R11 35B33 PDFBibTeX XMLCite \textit{Q. Wang}, Commun. Pure Appl. Anal. 17, No. 6, 2261--2281 (2018; Zbl 1398.35073) Full Text: DOI
Zhang, Zhitao; Luo, Haijun Symmetry and asymptotic behavior of ground state solutions for Schrödinger systems with linear interaction. (English) Zbl 1400.35084 Commun. Pure Appl. Anal. 17, No. 3, 787-806 (2018). MSC: 35J10 35J61 35J47 35J20 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{H. Luo}, Commun. Pure Appl. Anal. 17, No. 3, 787--806 (2018; Zbl 1400.35084) Full Text: DOI
He, Yi Singularly perturbed fractional Schrödinger equations with critical growth. (English) Zbl 1397.35079 Adv. Nonlinear Stud. 18, No. 3, 587-611 (2018). MSC: 35J10 35J61 35R11 35B09 PDFBibTeX XMLCite \textit{Y. He}, Adv. Nonlinear Stud. 18, No. 3, 587--611 (2018; Zbl 1397.35079) Full Text: DOI
García-Melián, Jorge; Rossi, Julio D.; Sabina de Lis, José C. A diffusion equation with a variable reaction order. (English) Zbl 1397.35110 Adv. Nonlinear Stud. 18, No. 3, 555-566 (2018). MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{J. García-Melián} et al., Adv. Nonlinear Stud. 18, No. 3, 555--566 (2018; Zbl 1397.35110) Full Text: DOI
Cao, Daomin; Liu, Zhongyuan; Peng, Shuangjie Sign-changing bubble tower solutions for the supercritical Hénon-type equations. (English) Zbl 1403.35108 Ann. Mat. Pura Appl. (4) 197, No. 4, 1227-1246 (2018). MSC: 35J61 35J05 35J25 PDFBibTeX XMLCite \textit{D. Cao} et al., Ann. Mat. Pura Appl. (4) 197, No. 4, 1227--1246 (2018; Zbl 1403.35108) Full Text: DOI
Hirata, Kentaro Existence and nonexistence of a positive solution of the Lane-Emden equation having a boundary singularity: the subcritical case. (English) Zbl 1402.35129 Monatsh. Math. 186, No. 4, 635-652 (2018). Reviewer: Dagmar Medková (Praha) MSC: 35J91 35B09 PDFBibTeX XMLCite \textit{K. Hirata}, Monatsh. Math. 186, No. 4, 635--652 (2018; Zbl 1402.35129) Full Text: DOI
Pisante, Giovanni; Ricciardi, Tonia Sign-changing two-peak solutions for an elliptic free boundary problem related to confined plasmas. (English) Zbl 1398.35092 Adv. Nonlinear Anal. 7, No. 3, 385-405 (2018). MSC: 35J91 35J25 35J20 82D10 PDFBibTeX XMLCite \textit{G. Pisante} and \textit{T. Ricciardi}, Adv. Nonlinear Anal. 7, No. 3, 385--405 (2018; Zbl 1398.35092) Full Text: DOI arXiv
Byeon, Jaeyoung; Jin, Sangdon The Hénon equation with a critical exponent under the Neumann boundary condition. (English) Zbl 1400.35134 Discrete Contin. Dyn. Syst. 38, No. 9, 4353-4390 (2018). MSC: 35J91 35J25 35B40 PDFBibTeX XMLCite \textit{J. Byeon} and \textit{S. Jin}, Discrete Contin. Dyn. Syst. 38, No. 9, 4353--4390 (2018; Zbl 1400.35134) Full Text: DOI
Chen, Huyuan; Zhou, Feng Isolated singularities for elliptic equations with Hardy operator and source nonlinearity. (English) Zbl 1400.35136 Discrete Contin. Dyn. Syst. 38, No. 6, 2945-2964 (2018). MSC: 35J91 35J75 35B09 35B35 PDFBibTeX XMLCite \textit{H. Chen} and \textit{F. Zhou}, Discrete Contin. Dyn. Syst. 38, No. 6, 2945--2964 (2018; Zbl 1400.35136) Full Text: DOI arXiv
Santra, Sanjiban On the positive solutions for a perturbed negative exponent problem on \(\mathbb{R}^3\). (English) Zbl 1400.35139 Discrete Contin. Dyn. Syst. 38, No. 3, 1441-1460 (2018). MSC: 35J91 35B09 35B20 35A01 PDFBibTeX XMLCite \textit{S. Santra}, Discrete Contin. Dyn. Syst. 38, No. 3, 1441--1460 (2018; Zbl 1400.35139) Full Text: DOI
Mâagli, Habib; Alzahrani, Abdulah Khamis; El Abidine, Zagharide Zine Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in exterior domains. (English) Zbl 1401.35121 Electron. J. Differ. Equ. 2018, Paper No. 137, 14 p. (2018). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J91 35B09 35B40 PDFBibTeX XMLCite \textit{H. Mâagli} et al., Electron. J. Differ. Equ. 2018, Paper No. 137, 14 p. (2018; Zbl 1401.35121) Full Text: Link
Khamessi, Bilel Asymptotic behaviour of ground state solutions of a non-linear Dirichlet problem. (English) Zbl 1398.35089 Complex Var. Elliptic Equ. 63, No. 10, 1497-1507 (2018). MSC: 35J91 35B09 PDFBibTeX XMLCite \textit{B. Khamessi}, Complex Var. Elliptic Equ. 63, No. 10, 1497--1507 (2018; Zbl 1398.35089) Full Text: DOI
Ben Chrouda, Mohamed Entire large solutions of semilinear equations involving the fractional Laplacian. (English) Zbl 1398.35070 Complex Var. Elliptic Equ. 63, No. 10, 1378-1395 (2018). MSC: 35J61 35R11 35B09 PDFBibTeX XMLCite \textit{M. Ben Chrouda}, Complex Var. Elliptic Equ. 63, No. 10, 1378--1395 (2018; Zbl 1398.35070) Full Text: DOI
Figueiredo, Giovany M.; Molica Bisci, Giovanni; Servadei, Raffaella The effect of the domain topology on the number of solutions of fractional Laplace problems. (English) Zbl 1423.35110 Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 103, 24 p. (2018). Reviewer: Luigi Rodino (Torino) MSC: 35J61 35R11 PDFBibTeX XMLCite \textit{G. M. Figueiredo} et al., Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 103, 24 p. (2018; Zbl 1423.35110) Full Text: DOI
Duong Minh Duc On superlinear \(p\)-Laplace equations. (English) Zbl 1400.35147 Vietnam J. Math. 46, No. 3, 507-516 (2018). MSC: 35J92 35J40 46E35 PDFBibTeX XMLCite \textit{Duong Minh Duc}, Vietnam J. Math. 46, No. 3, 507--516 (2018; Zbl 1400.35147) Full Text: DOI
Battaglia, Luca; Van Schaftingen, Jean Groundstates of the Choquard equations with a sign-changing self-interaction potential. (English) Zbl 1395.35096 Z. Angew. Math. Phys. 69, No. 3, Paper No. 86, 16 p. (2018). MSC: 35J91 PDFBibTeX XMLCite \textit{L. Battaglia} and \textit{J. Van Schaftingen}, Z. Angew. Math. Phys. 69, No. 3, Paper No. 86, 16 p. (2018; Zbl 1395.35096) Full Text: DOI arXiv
Liou, Jia-Ming (Frank); Liu, Chih-Chung An algebraic construction of a solution to the mean field equations on hyperelliptic curves and its adiabatic limit. (English) Zbl 1400.14087 Proc. Am. Math. Soc. 146, No. 9, 3693-3707 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H55 35J15 35J91 PDFBibTeX XMLCite \textit{J.-M. Liou} and \textit{C.-C. Liu}, Proc. Am. Math. Soc. 146, No. 9, 3693--3707 (2018; Zbl 1400.14087) Full Text: DOI arXiv
Wei, Suting; Xu, Bin; Yang, Jun On Ambrosetti-Malchiodi-Ni Conjecture on two-dimensional smooth bounded domains. (English) Zbl 1398.35041 Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 87, 1-45 (2018). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J25 35J61 PDFBibTeX XMLCite \textit{S. Wei} et al., Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 87, 1--45 (2018; Zbl 1398.35041) Full Text: DOI arXiv
Nagahara, Kentaro; Yanagida, Eiji Maximization of the total population in a reaction-diffusion model with logistic growth. (English) Zbl 1398.35091 Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 80, 1-14 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{K. Nagahara} and \textit{E. Yanagida}, Calc. Var. Partial Differ. Equ. 57, No. 3, Paper No. 80, 1--14 (2018; Zbl 1398.35091) Full Text: DOI
Balodis, Pedro; Escudero, Carlos Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\). (English) Zbl 1401.35114 J. Differ. Equations 265, No. 8, 3363-3399 (2018). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 35J91 35J30 35A01 35A02 PDFBibTeX XMLCite \textit{P. Balodis} and \textit{C. Escudero}, J. Differ. Equations 265, No. 8, 3363--3399 (2018; Zbl 1401.35114) Full Text: DOI arXiv
Algahtani, Obaid; Chtioui, Hichem; Fehem, Ramzi; Hajaiej, Hichem Compactness and existence results for an elliptic PDE with zero Dirichlet boundary condition. (English) Zbl 1394.35196 Complex Var. Elliptic Equ. 63, No. 9, 1322-1340 (2018). MSC: 35J91 35J25 35B09 PDFBibTeX XMLCite \textit{O. Algahtani} et al., Complex Var. Elliptic Equ. 63, No. 9, 1322--1340 (2018; Zbl 1394.35196) Full Text: DOI
Papageorgiou, Nikolaos S.; Vetro, Calogero; Vetro, Francesca Multiple solutions for strongly resonant Robin problems. (English) Zbl 1396.35021 Math. Nachr. 291, No. 7, 1147-1167 (2018). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J92 35J40 PDFBibTeX XMLCite \textit{N. S. Papageorgiou} et al., Math. Nachr. 291, No. 7, 1147--1167 (2018; Zbl 1396.35021) Full Text: DOI
Magliaro, Marco; Mari, Luciano; Rigoli, Marco On a paper of Berestycki-Hamel-Rossi and its relations to the weak maximum principle at infinity, with applications. (English) Zbl 1393.58016 Rev. Mat. Iberoam. 34, No. 2, 915-936 (2018). MSC: 58J05 35B53 35J61 PDFBibTeX XMLCite \textit{M. Magliaro} et al., Rev. Mat. Iberoam. 34, No. 2, 915--936 (2018; Zbl 1393.58016) Full Text: DOI
Chiron, David; Scheid, Claire Multiple branches of travelling waves for the Gross-Pitaevskii equation. (English) Zbl 1393.35216 Nonlinearity 31, No. 6, 2809-2853 (2018). MSC: 35Q55 35B38 35C07 35J61 35Q40 35Q53 35C08 65M06 65F15 65H10 PDFBibTeX XMLCite \textit{D. Chiron} and \textit{C. Scheid}, Nonlinearity 31, No. 6, 2809--2853 (2018; Zbl 1393.35216) Full Text: DOI
Alves, Claudianor O.; dos Santos, Jefferson A.; Nemer, Rodrigo C. M. Multiple solutions for a problem with discontinuous nonlinearity. (English) Zbl 1396.35017 Ann. Mat. Pura Appl. (4) 197, No. 3, 883-903 (2018). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{C. O. Alves} et al., Ann. Mat. Pura Appl. (4) 197, No. 3, 883--903 (2018; Zbl 1396.35017) Full Text: DOI
Bagyrov, Sh. G. Nonexistence of solutions of a semilinear biharmonic equation with singular potential. (English. Russian original) Zbl 1397.35105 Math. Notes 103, No. 1, 24-32 (2018); translation from Mat. Zametki 103, No. 1, 27-37 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35J61 31B30 35A01 PDFBibTeX XMLCite \textit{Sh. G. Bagyrov}, Math. Notes 103, No. 1, 24--32 (2018; Zbl 1397.35105); translation from Mat. Zametki 103, No. 1, 27--37 (2018) Full Text: DOI
Bahrouni, Anouar; Ounaies, Hichem; Rădulescu, Vicenţiu D. Compactly supported solutions of Schrödinger equations with small perturbation. (English) Zbl 1524.35247 Appl. Math. Lett. 84, 148-154 (2018). MSC: 35J61 35J20 35J65 35Q55 35J25 PDFBibTeX XMLCite \textit{A. Bahrouni} et al., Appl. Math. Lett. 84, 148--154 (2018; Zbl 1524.35247) Full Text: DOI
Miyamoto, Yasuhito; Naito, Yūki Singular extremal solutions for supercritical elliptic equations in a ball. (English) Zbl 1397.35113 J. Differ. Equations 265, No. 7, 2842-2885 (2018). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J91 35A01 PDFBibTeX XMLCite \textit{Y. Miyamoto} and \textit{Y. Naito}, J. Differ. Equations 265, No. 7, 2842--2885 (2018; Zbl 1397.35113) Full Text: DOI
Fall, Mouhamed Moustapha; Thiam, El Hadji Abdoulaye Hardy-Sobolev inequality with singularity a curve. (English) Zbl 1400.35137 Topol. Methods Nonlinear Anal. 51, No. 1, 151-181 (2018). MSC: 35J91 35A01 PDFBibTeX XMLCite \textit{M. M. Fall} and \textit{E. H. A. Thiam}, Topol. Methods Nonlinear Anal. 51, No. 1, 151--181 (2018; Zbl 1400.35137) Full Text: DOI arXiv Euclid
Gutlyanskiĭ, V. Ya.; Nesmelova, O. V.; Ryazanov, V. I. Semilinear equations in the plane with measurable data. (English) Zbl 1399.30150 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 2, 12-18 (2018). MSC: 30E25 30C62 PDFBibTeX XMLCite \textit{V. Ya. Gutlyanskiĭ} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 2, 12--18 (2018; Zbl 1399.30150)
Zhao, Xiaojun Liouville theorem for Choquard equation with finite Morse indices. (English) Zbl 1399.35210 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 2, 673-680 (2018). MSC: 35J91 35A01 35B53 35R09 PDFBibTeX XMLCite \textit{X. Zhao}, Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 2, 673--680 (2018; Zbl 1399.35210) Full Text: DOI
Gui, Changfeng; Jevnikar, Aleks; Moradifam, Amir Symmetry and uniqueness of solutions to some Liouville-type equations and systems. (English) Zbl 1391.35156 Commun. Partial Differ. Equations 43, No. 3, 428-447 (2018). MSC: 35J91 35B06 PDFBibTeX XMLCite \textit{C. Gui} et al., Commun. Partial Differ. Equations 43, No. 3, 428--447 (2018; Zbl 1391.35156) Full Text: DOI arXiv
Ibrahim, Hassan; Nasreddine, Elissar On the existence of nonautonomous ODE with application to semilinear elliptic equations. (English) Zbl 1391.35158 Mediterr. J. Math. 15, No. 2, Paper No. 64, 17 p. (2018). MSC: 35J91 35B09 34A99 PDFBibTeX XMLCite \textit{H. Ibrahim} and \textit{E. Nasreddine}, Mediterr. J. Math. 15, No. 2, Paper No. 64, 17 p. (2018; Zbl 1391.35158) Full Text: DOI
Kaufmann, Uriel; Ramos Quoirin, Humberto; Umezu, Kenichiro Positive solutions of an elliptic Neumann problem with a sublinear indefinite nonlinearity. (English) Zbl 1391.35159 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 2, Paper No. 12, 34 p. (2018). MSC: 35J91 35B09 35J25 PDFBibTeX XMLCite \textit{U. Kaufmann} et al., NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 2, Paper No. 12, 34 p. (2018; Zbl 1391.35159) Full Text: DOI arXiv
Alarcón, Salomón Sign-changing solutions at the almost Hénon critical exponent. (English) Zbl 1398.35086 J. Math. Anal. Appl. 465, No. 1, 624-642 (2018). MSC: 35J91 35B44 PDFBibTeX XMLCite \textit{S. Alarcón}, J. Math. Anal. Appl. 465, No. 1, 624--642 (2018; Zbl 1398.35086) Full Text: DOI
Wang, Li; Zhao, Peihao Positive solutions with single and multi-peak for semilinear elliptic equations with nonlinear boundary condition in the half-space. (English) Zbl 1395.35097 Proc. Indian Acad. Sci., Math. Sci. 128, No. 2, Paper No. 22, 26 p. (2018). MSC: 35J91 35J66 PDFBibTeX XMLCite \textit{L. Wang} and \textit{P. Zhao}, Proc. Indian Acad. Sci., Math. Sci. 128, No. 2, Paper No. 22, 26 p. (2018; Zbl 1395.35097) Full Text: DOI
Alves, Claudianor O.; Cavalcante, Marcius; Medeiros, Everaldo On a periodic Schrödinger equation involving periodic and nonperiodic nonlinearities in \(\mathbb{R}^2\). (English) Zbl 1401.35113 J. Math. Anal. Appl. 462, No. 1, 216-232 (2018). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 35J91 PDFBibTeX XMLCite \textit{C. O. Alves} et al., J. Math. Anal. Appl. 462, No. 1, 216--232 (2018; Zbl 1401.35113) Full Text: DOI
Zhang, Xu; Xia, Jiankang Semi-classical solutions for Schrödinger-Poisson equations with a critical frequency. (English) Zbl 1392.35098 J. Differ. Equations 265, No. 5, 2121-2170 (2018). MSC: 35J05 35J10 35J61 35J47 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{J. Xia}, J. Differ. Equations 265, No. 5, 2121--2170 (2018; Zbl 1392.35098) Full Text: DOI
Bahoura, Samy Skander A compactness result for an equation with Hölderian condition. (English) Zbl 1390.35053 Commun. Math. Anal. 21, No. 1, 23-34 (2018). MSC: 35J05 35J61 35B44 PDFBibTeX XMLCite \textit{S. S. Bahoura}, Commun. Math. Anal. 21, No. 1, 23--34 (2018; Zbl 1390.35053) Full Text: arXiv Euclid
Keller, Matthias; Schwarz, Michael The Kazdan-Warner equation on canonically compactifiable graphs. (English) Zbl 1390.35387 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 70, 18 p. (2018). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 35R02 34B45 35A15 35J61 35R01 PDFBibTeX XMLCite \textit{M. Keller} and \textit{M. Schwarz}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 70, 18 p. (2018; Zbl 1390.35387) Full Text: DOI arXiv
Kouhestani, Najmeh; Moameni, Abbas Multiplicity results for elliptic problems with super-critical concave and convex nonlinearties. (English) Zbl 1392.35096 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 54, 12 p. (2018). MSC: 35J05 35J25 35J61 PDFBibTeX XMLCite \textit{N. Kouhestani} and \textit{A. Moameni}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 54, 12 p. (2018; Zbl 1392.35096) Full Text: DOI arXiv
Gladiali, Francesca; Grossi, Massimo; Troestler, Christophe Entire radial and nonradial solutions for systems with critical growth. (English) Zbl 1392.35092 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 53, 26 p. (2018). MSC: 35J05 35J61 35J47 35B09 35B08 PDFBibTeX XMLCite \textit{F. Gladiali} et al., Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 53, 26 p. (2018; Zbl 1392.35092) Full Text: DOI arXiv
Cao, Daomin; Li, Shuanglong; Liu, Zhongyuan Nodal solutions for a supercritical semilinear problem with variable exponent. (English) Zbl 1392.35156 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 38, 19 p. (2018). MSC: 35J91 35J25 35J20 PDFBibTeX XMLCite \textit{D. Cao} et al., Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 38, 19 p. (2018; Zbl 1392.35156) Full Text: DOI
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D. Multiplicity of solutions for Robin problems with double resonance. (English) Zbl 1435.35170 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 1, 145-201 (2018). Reviewer: Oleh Omel’chenko (Potsdam) MSC: 35J61 35J20 35J25 PDFBibTeX XMLCite \textit{N. S. Papageorgiou} and \textit{V. D. Rădulescu}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 18, No. 1, 145--201 (2018; Zbl 1435.35170) Full Text: DOI
Ben Chrouda, Mohamed; Ben Fredj, Mahmoud Nonnegative entire bounded solutions to some semilinear equations involving the fractional Laplacian. (English) Zbl 1392.35142 Potential Anal. 48, No. 4, 495-513 (2018). MSC: 35J61 35R11 31C05 PDFBibTeX XMLCite \textit{M. Ben Chrouda} and \textit{M. Ben Fredj}, Potential Anal. 48, No. 4, 495--513 (2018; Zbl 1392.35142) Full Text: DOI arXiv
Choi, Woocheol; Hong, Younghun; Seok, Jinmyoung Semilinear elliptic equations with the pseudo-relativistic operator on a bounded domain. (English) Zbl 1390.35092 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 173, 123-145 (2018). MSC: 35J61 35J10 PDFBibTeX XMLCite \textit{W. Choi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 173, 123--145 (2018; Zbl 1390.35092) Full Text: DOI arXiv
Wang, Xiaoming; Lin, Tai-Chia; Wang, Zhi-Qiang Existence and concentration of ground states for saturable nonlinear Schrödinger equations with intensity functions in \(\mathbb{R}^2\). (English) Zbl 1390.35066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 173, 19-36 (2018). MSC: 35J10 35J61 PDFBibTeX XMLCite \textit{X. Wang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 173, 19--36 (2018; Zbl 1390.35066) Full Text: DOI
Gasiński, Leszek; Papageorgiou, Nikolaos S. Resonant Robin problems with indefinite and unbounded potential. (English) Zbl 1398.35088 Math. Nachr. 291, No. 5-6, 848-878 (2018). Reviewer: Patrick Winkert (Berlin) MSC: 35J91 35J20 PDFBibTeX XMLCite \textit{L. Gasiński} and \textit{N. S. Papageorgiou}, Math. Nachr. 291, No. 5--6, 848--878 (2018; Zbl 1398.35088) Full Text: DOI Euclid
Byeon, Jaeyoung; Wang, Zhi-Qiang On the Hénon equation with a Neumann boundary condition: asymptotic profile of ground states. (English) Zbl 1436.35193 J. Funct. Anal. 274, No. 12, 3325-3376 (2018). Reviewer: Oleh Omel’chenko (Potsdam) MSC: 35J91 35J25 35B33 35B40 PDFBibTeX XMLCite \textit{J. Byeon} and \textit{Z.-Q. Wang}, J. Funct. Anal. 274, No. 12, 3325--3376 (2018; Zbl 1436.35193) Full Text: DOI
Wu, Yuanze Least energy sign-changing solutions of the singularly perturbed Brezis-Nirenberg problem. (English) Zbl 1392.35161 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 171, 85-101 (2018). MSC: 35J91 PDFBibTeX XMLCite \textit{Y. Wu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 171, 85--101 (2018; Zbl 1392.35161) Full Text: DOI
Ke, Xiao-Feng; Tang, Chun-Lei Existence and multiplicity of solutions to semilinear elliptic equation with nonlinear term of superlinear and subcritical growth. (English) Zbl 1387.35269 Electron. J. Differ. Equ. 2018, Paper No. 88, 17 p. (2018). MSC: 35J61 35B09 PDFBibTeX XMLCite \textit{X.-F. Ke} and \textit{C.-L. Tang}, Electron. J. Differ. Equ. 2018, Paper No. 88, 17 p. (2018; Zbl 1387.35269) Full Text: Link
Wang, Jun; Qu, Mengmeng; Xiao, Lu Existence of positive solutions to the nonlinear Choquard equation with competing potentials. (English) Zbl 1387.35271 Electron. J. Differ. Equ. 2018, Paper No. 63, 21 p. (2018). MSC: 35J61 35J20 49J40 PDFBibTeX XMLCite \textit{J. Wang} et al., Electron. J. Differ. Equ. 2018, Paper No. 63, 21 p. (2018; Zbl 1387.35271) Full Text: Link
Boucheche, Zakaria; Chtioui, Hichem; Hajaiej, Hichem Critical second-order elliptic equation with zero Dirichlet boundary condition in four dimensions. (English) Zbl 1387.35120 Electron. J. Differ. Equ. 2018, Paper No. 60, 32 p. (2018). MSC: 35J05 35J61 35J20 PDFBibTeX XMLCite \textit{Z. Boucheche} et al., Electron. J. Differ. Equ. 2018, Paper No. 60, 32 p. (2018; Zbl 1387.35120) Full Text: Link
Ben Chrouda, Mohamed Correction to: “Fractional Schrödinger equation in bounded domains and applications”. (English) Zbl 1467.35116 Mediterr. J. Math. 15, No. 1, Paper No. 5, 3 p. (2018). MSC: 35J10 35J61 35R11 PDFBibTeX XMLCite \textit{M. Ben Chrouda}, Mediterr. J. Math. 15, No. 1, Paper No. 5, 3 p. (2018; Zbl 1467.35116) Full Text: DOI
Wang, Xing; Qin, Xinqiang; Hu, Gang Existence of weak positive solution for a singular elliptic problem with supercritical nonlinearity. (English) Zbl 1390.35095 Anal. Math. Phys. 8, No. 1, 43-55 (2018). MSC: 35J61 35J57 35B09 PDFBibTeX XMLCite \textit{X. Wang} et al., Anal. Math. Phys. 8, No. 1, 43--55 (2018; Zbl 1390.35095) Full Text: DOI
Kosaka, Atsushi Condensation phenomena of a least-energy solution to semilinear Neumann problems on piecewise smooth domains. (English) Zbl 1398.35090 J. Differ. Equations 265, No. 1, 1-32 (2018). Reviewer: Jesús Hernández (Madrid) MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{A. Kosaka}, J. Differ. Equations 265, No. 1, 1--32 (2018; Zbl 1398.35090) Full Text: DOI
Guo, Yujin; Wang, Zhi-Qiang; Zeng, Xiaoyu; Zhou, Huan-Song Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentials. (English) Zbl 1396.35018 Nonlinearity 31, No. 3, 957-979 (2018). Reviewer: Junichi Aramaki (Saitama) MSC: 35J91 35J20 PDFBibTeX XMLCite \textit{Y. Guo} et al., Nonlinearity 31, No. 3, 957--979 (2018; Zbl 1396.35018) Full Text: DOI arXiv
Sourdis, Christos Optimal potential energy growth lower bounds for minimizing solutions to the vectorial Allen-Cahn equation in two space dimensions. (English) Zbl 1394.35169 Math. Methods Appl. Sci. 41, No. 3, 966-972 (2018). MSC: 35J47 35J91 35J50 PDFBibTeX XMLCite \textit{C. Sourdis}, Math. Methods Appl. Sci. 41, No. 3, 966--972 (2018; Zbl 1394.35169) Full Text: DOI
Chen, Huyuan; Felmer, Patricio; Yang, Jianfu Weak solutions of semilinear elliptic equation involving Dirac mass. (English) Zbl 1393.35057 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 3, 729-750 (2018). Reviewer: Patrick Winkert (Berlin) MSC: 35J91 35B09 35J20 PDFBibTeX XMLCite \textit{H. Chen} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 3, 729--750 (2018; Zbl 1393.35057) Full Text: DOI arXiv
Feng, Binhua; Yuan, Xiangxia; Zheng, Jun Global well-posedness for the Gross-Pitaevskii equation with pumping and nonlinear damping. (English) Zbl 1388.35059 Z. Anal. Anwend. 37, No. 1, 73-82 (2018). MSC: 35J61 35Q55 PDFBibTeX XMLCite \textit{B. Feng} et al., Z. Anal. Anwend. 37, No. 1, 73--82 (2018; Zbl 1388.35059) Full Text: DOI