Le, Phuong One-dimensional symmetry of solutions to non-cooperative elliptic systems. (English) Zbl 07629229 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113156, 15 p. (2023). MSC: 35B06 35B08 35J47 35J61 PDF BibTeX XML Cite \textit{P. Le}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113156, 15 p. (2023; Zbl 07629229) Full Text: DOI OpenURL
Babadjian, Jean-François; Di Fratta, Giovanni; Fonseca, Irene; Francfort, Gilles A.; Lewicka, Marta; Muratov, Cyrill B. The mathematics of thin structures. (English) Zbl 07626179 Q. Appl. Math. 81, No. 1, 1-64 (2023). MSC: 49J45 74B20 74K20 74K35 53A35 PDF BibTeX XML Cite \textit{J.-F. Babadjian} et al., Q. Appl. Math. 81, No. 1, 1--64 (2023; Zbl 07626179) Full Text: DOI OpenURL
Dávila, Juan; Del Pino, Manuel; Medina, Maria; Rodiac, Rémy Interacting helical vortex filaments in the three-dimensional Ginzburg-Landau equation. (English) Zbl 07619414 J. Eur. Math. Soc. (JEMS) 24, No. 12, 4143-4199 (2022). MSC: 35Q56 35B08 35B25 35J47 35J61 35B40 PDF BibTeX XML Cite \textit{J. Dávila} et al., J. Eur. Math. Soc. (JEMS) 24, No. 12, 4143--4199 (2022; Zbl 07619414) Full Text: DOI arXiv OpenURL
Villegas, Salvador A simple proof of the optimal power in Liouville theorems. (English) Zbl 07556785 Publ. Mat., Barc. 66, No. 2, 883-892 (2022). MSC: 35B53 35B08 35B35 35J61 PDF BibTeX XML Cite \textit{S. Villegas}, Publ. Mat., Barc. 66, No. 2, 883--892 (2022; Zbl 07556785) Full Text: DOI arXiv OpenURL
Sourdis, Christos One-dimensional symmetry of positive bounded solutions to the subcubic and cubic nonlinear Schrödinger equation in the half-space in dimensions \(N=4, 5\). (English) Zbl 1492.35015 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 176, 7 p. (2022). MSC: 35B06 35B09 35J25 35J61 PDF BibTeX XML Cite \textit{C. Sourdis}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 176, 7 p. (2022; Zbl 1492.35015) Full Text: DOI arXiv OpenURL
Alikakos, Nicholas D.; Geng, Zhiyuan; Zarnescu, Arghir Asymptotic behavior of the interface for entire vector minimizers in phase transitions. (English) Zbl 1497.35025 J. Funct. Anal. 283, No. 6, Article ID 109565, 35 p. (2022). Reviewer: Cristina Pignotti (L’Aquila) MSC: 35B08 35J20 35J61 PDF BibTeX XML Cite \textit{N. D. Alikakos} et al., J. Funct. Anal. 283, No. 6, Article ID 109565, 35 p. (2022; Zbl 1497.35025) Full Text: DOI arXiv OpenURL
Agudelo, Oscar; Rizzi, Matteo K-ended \(O(m) \times O(n)\) invariant solutions to the Allen-Cahn equation with infinite Morse index. (English) Zbl 1491.35195 J. Funct. Anal. 283, No. 5, Article ID 109561, 43 p. (2022). MSC: 35J61 35A01 35B40 35B35 PDF BibTeX XML Cite \textit{O. Agudelo} and \textit{M. Rizzi}, J. Funct. Anal. 283, No. 5, Article ID 109561, 43 p. (2022; Zbl 1491.35195) Full Text: DOI arXiv OpenURL
Liu, Yong; Wei, Juncheng Classification of finite Morse index solutions to the elliptic sine-Gordon equation in the plane. (English) Zbl 1486.35196 Rev. Mat. Iberoam. 38, No. 2, 355-432 (2022). MSC: 35J61 35B08 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{J. Wei}, Rev. Mat. Iberoam. 38, No. 2, 355--432 (2022; Zbl 1486.35196) Full Text: DOI OpenURL
Agudelo, Oscar; Kowalczyk, Michał; Rizzi, Matteo Doubling construction for \(O ( m ) \times O ( n )\) invariant solutions to the Allen-Cahn equation. (English) Zbl 1481.35226 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112705, 53 p. (2022). MSC: 35J91 35J05 35A01 35B40 PDF BibTeX XML Cite \textit{O. Agudelo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112705, 53 p. (2022; Zbl 1481.35226) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{F. G. Alessio} and \textit{P. Montecchiari}, Math. Eng. (Springfield) 3, No. 6, Paper No. 44, 28 p. (2021; Zbl 1497.35208) Full Text: DOI OpenURL
Villegas, Salvador Sharp Liouville theorems. (English) Zbl 1487.35029 Adv. Nonlinear Stud. 21, No. 1, 95-105 (2021). MSC: 35B08 35B35 35B53 35J91 PDF BibTeX XML Cite \textit{S. Villegas}, Adv. Nonlinear Stud. 21, No. 1, 95--105 (2021; Zbl 1487.35029) Full Text: DOI arXiv OpenURL
Dipierro, Serena; Poggesi, Giorgio; Valdinoci, Enrico A quantitative rigidity result for a two-dimensional Frenkel-Kontorova model. (English) Zbl 1492.37068 Physica D 419, Article ID 132871, 44 p. (2021). MSC: 37L60 34C15 35B05 35A30 82B20 PDF BibTeX XML Cite \textit{S. Dipierro} et al., Physica D 419, Article ID 132871, 44 p. (2021; Zbl 1492.37068) Full Text: DOI arXiv OpenURL
Sourdis, Christos One-dimensional symmetry of positive bounded solutions to the nonlinear Schrödinger equation in the half-space in two and three dimensions. (English) Zbl 1479.35041 SN Partial Differ. Equ. Appl. 2, No. 6, Paper No. 79, 6 p. (2021). MSC: 35B06 35B08 35B09 35B50 35J15 35J61 PDF BibTeX XML Cite \textit{C. Sourdis}, SN Partial Differ. Equ. Appl. 2, No. 6, Paper No. 79, 6 p. (2021; Zbl 1479.35041) Full Text: DOI arXiv OpenURL
Wang, Kelei Recent progress on stable and finite Morse index solutions of semilinear elliptic equations. (English) Zbl 1480.35126 Electron Res. Arch. 29, No. 6, 3805-3816 (2021). MSC: 35J05 35J91 35B35 35B53 PDF BibTeX XML Cite \textit{K. Wang}, Electron Res. Arch. 29, No. 6, 3805--3816 (2021; Zbl 1480.35126) Full Text: DOI OpenURL
Gao, Yuan; Liu, Jian-Guo; Liu, Zibu Existence and rigidity of the vectorial Peierls-Nabarro model for dislocations in high dimensions. (English) Zbl 1478.35199 Nonlinearity 34, No. 11, 7778-7828 (2021). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 35Q56 74B10 35A02 35S15 35J50 35B65 35B50 PDF BibTeX XML Cite \textit{Y. Gao} et al., Nonlinearity 34, No. 11, 7778--7828 (2021; Zbl 1478.35199) Full Text: DOI arXiv OpenURL
Abolarinwa, Abimbola; Ehigie, Julius Osato; Alkhaldi, Ali H. Harnack inequalities for a class of heat flows with nonlinear reaction terms. (English) Zbl 1482.35050 J. Geom. Phys. 170, Article ID 104382, 15 p. (2021). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B45 35B50 58J60 58J35 60J60 35K57 35B09 PDF BibTeX XML Cite \textit{A. Abolarinwa} et al., J. Geom. Phys. 170, Article ID 104382, 15 p. (2021; Zbl 1482.35050) Full Text: DOI OpenURL
Abolarinwa, Abimbola Differential Harnack estimates for a nonlinear evolution equation of Allen-Cahn type. (English) Zbl 1473.35074 Mediterr. J. Math. 18, No. 5, Paper No. 200, 15 p. (2021). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B45 35B50 58J60 58J35 60J60 35K58 PDF BibTeX XML Cite \textit{A. Abolarinwa}, Mediterr. J. Math. 18, No. 5, Paper No. 200, 15 p. (2021; Zbl 1473.35074) Full Text: DOI OpenURL
Dai, Wei; Qin, Guolin; Wu, Dan Direct methods for pseudo-relativistic Schrödinger operators. (English) Zbl 1475.35314 J. Geom. Anal. 31, No. 6, 5555-5618 (2021). MSC: 35Q55 35Q40 35Q56 35B45 35B06 35B53 35A02 81V73 85A15 26A33 35R11 PDF BibTeX XML Cite \textit{W. Dai} et al., J. Geom. Anal. 31, No. 6, 5555--5618 (2021; Zbl 1475.35314) Full Text: DOI arXiv OpenURL
Takahashi, Futoshi Topics of stable solutions to elliptic equations. (English. Japanese original) Zbl 1471.35139 Sugaku Expo. 34, No. 1, 35-59 (2021); translation from Sūgaku 69, No. 1, 31-55 (2017). MSC: 35J60 35-02 PDF BibTeX XML Cite \textit{F. Takahashi}, Sugaku Expo. 34, No. 1, 35--59 (2021; Zbl 1471.35139); translation from Sūgaku 69, No. 1, 31--55 (2017) Full Text: DOI OpenURL
Wang, Kelei Simons cone and saddle solutions of the Allen-Cahn equation. (English) Zbl 1471.35162 Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 471-478 (2021). MSC: 35J91 35J25 35J20 35B33 35B40 PDF BibTeX XML Cite \textit{K. Wang}, Adv. Stud. Pure Math. 85, 471--478 (2021; Zbl 1471.35162) Full Text: DOI OpenURL
Wu, Leyun; Yu, Mei Some monotonicity results for the fractional Laplacian in unbounded domain. (English) Zbl 1461.35216 Complex Var. Elliptic Equ. 66, No. 4, 689-707 (2021). MSC: 35R11 35S15 35B06 35J61 PDF BibTeX XML Cite \textit{L. Wu} and \textit{M. Yu}, Complex Var. Elliptic Equ. 66, No. 4, 689--707 (2021; Zbl 1461.35216) Full Text: DOI OpenURL
Nordmann, Samuel Symmetry properties of stable solutions of semilinear elliptic equations in unbounded domains. (English) Zbl 1473.35018 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 23, 26 p. (2021). Reviewer: Salvador Villegas (Granada) MSC: 35B06 35B35 35B53 35J61 35J25 35B36 PDF BibTeX XML Cite \textit{S. Nordmann}, Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 23, 26 p. (2021; Zbl 1473.35018) Full Text: DOI arXiv OpenURL
Mantoulidis, Christos Allen-Cahn min-max on surfaces. (English) Zbl 1459.35179 J. Differ. Geom. 117, No. 1, 93-135 (2021). Reviewer: Dian K. Palagachev (Bari) MSC: 35J61 53A10 35J20 PDF BibTeX XML Cite \textit{C. Mantoulidis}, J. Differ. Geom. 117, No. 1, 93--135 (2021; Zbl 1459.35179) Full Text: DOI arXiv Euclid OpenURL
Hamel, François; Liu, Yong; Sicbaldi, Pieralberto; Wang, Kelei; Wei, Juncheng Half-space theorems for the Allen-Cahn equation and related problems. (English) Zbl 1459.35177 J. Reine Angew. Math. 770, 113-133 (2021). Reviewer: Dian K. Palagachev (Bari) MSC: 35J61 PDF BibTeX XML Cite \textit{F. Hamel} et al., J. Reine Angew. Math. 770, 113--133 (2021; Zbl 1459.35177) Full Text: DOI arXiv OpenURL
Fazly, Mostafa Symmetry and asymmetry of components for elliptic Gross-Pitaevskii system. (English) Zbl 1454.35124 J. Differ. Equations 270, 248-284 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 35J50 49S05 35B40 49Q20 35B08 81Q80 PDF BibTeX XML Cite \textit{M. Fazly}, J. Differ. Equations 270, 248--284 (2021; Zbl 1454.35124) Full Text: DOI OpenURL
Zhang, Liangdi Global Hessian estimates for an Allen-Cahn equation on Riemannian manifolds. (English) Zbl 1454.35155 J. Math. Anal. Appl. 493, No. 2, Article ID 124573, 15 p. (2021). MSC: 35J61 58J05 PDF BibTeX XML Cite \textit{L. Zhang}, J. Math. Anal. Appl. 493, No. 2, Article ID 124573, 15 p. (2021; Zbl 1454.35155) Full Text: DOI OpenURL
Birindelli, Isabeau; Galise, Giulio Allen-Cahn equation for the truncated Laplacian: unusual phenomena. (English) Zbl 1489.35082 Math. Eng. (Springfield) 2, No. 4, 722-733 (2020). MSC: 35J60 35J70 35D40 PDF BibTeX XML Cite \textit{I. Birindelli} and \textit{G. Galise}, Math. Eng. (Springfield) 2, No. 4, 722--733 (2020; Zbl 1489.35082) Full Text: DOI arXiv OpenURL
Clerc, Marcel G.; Kowalczyk, Michal; Smyrnelis, Panayotis The connecting solution of the Painlevé phase transition model. (English) Zbl 1471.35155 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 977-998 (2020). MSC: 35J91 35J20 35B40 35B06 35B25 PDF BibTeX XML Cite \textit{M. G. Clerc} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 977--998 (2020; Zbl 1471.35155) Full Text: DOI arXiv OpenURL
Felipe-Navarro, Juan Carlos; Sanz-Perela, Tomás Uniqueness and stability of the saddle-shaped solution to the fractional Allen-Cahn equation. (English) Zbl 1460.35152 Rev. Mat. Iberoam. 36, No. 6, 1887-1916 (2020). MSC: 35J61 35R11 35B08 35B35 35A02 PDF BibTeX XML Cite \textit{J. C. Felipe-Navarro} and \textit{T. Sanz-Perela}, Rev. Mat. Iberoam. 36, No. 6, 1887--1916 (2020; Zbl 1460.35152) Full Text: DOI arXiv OpenURL
Dipierro, Serena; Miraglio, Pietro; Valdinoci, Enrico Symmetry results for the solutions of a partial differential equation arising in water waves. (English) Zbl 1441.35253 Wood, David R. (ed.) et al., 2018 MATRIX annals. Cham: Springer. MATRIX Book Ser. 3, 229-248 (2020). MSC: 35R11 35J61 35Q35 76B15 PDF BibTeX XML Cite \textit{S. Dipierro} et al., MATRIX Book Ser. 3, 229--248 (2020; Zbl 1441.35253) Full Text: DOI arXiv OpenURL
Moameni, Abbas Critical point theory on convex subsets with applications in differential equations and analysis. (English. French summary) Zbl 1446.58008 J. Math. Pures Appl. (9) 141, 266-315 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 58E30 35J87 49J40 49J52 PDF BibTeX XML Cite \textit{A. Moameni}, J. Math. Pures Appl. (9) 141, 266--315 (2020; Zbl 1446.58008) Full Text: DOI OpenURL
Monteil, Antonin; Santambrogio, Filippo Metric methods for heteroclinic connections in infinite dimensional spaces. (English) Zbl 1445.35156 Indiana Univ. Math. J. 69, No. 4, 1445-1503 (2020). MSC: 35J50 49J45 49J27 54E35 PDF BibTeX XML Cite \textit{A. Monteil} and \textit{F. Santambrogio}, Indiana Univ. Math. J. 69, No. 4, 1445--1503 (2020; Zbl 1445.35156) Full Text: DOI arXiv OpenURL
Farina, Alberto; Sciunzi, Berardino; Soave, Nicola Monotonicity and rigidity of solutions to some elliptic systems with uniform limits. (English) Zbl 1448.35163 Commun. Contemp. Math. 22, No. 5, Article ID 1950044, 24 p. (2020). Reviewer: Giovanni Anello (Messina) MSC: 35J47 35B08 35B06 35B53 PDF BibTeX XML Cite \textit{A. Farina} et al., Commun. Contemp. Math. 22, No. 5, Article ID 1950044, 24 p. (2020; Zbl 1448.35163) Full Text: DOI arXiv OpenURL
Gui, Changfeng; Wang, Kelei; Wei, Jucheng Axially symmetric solutions of the Allen-Cahn equation with finite Morse index. (English) Zbl 1440.35165 Trans. Am. Math. Soc. 373, No. 5, 3649-3668 (2020). Reviewer: Huansong Zhou (Wuhan) MSC: 35J91 PDF BibTeX XML Cite \textit{C. Gui} et al., Trans. Am. Math. Soc. 373, No. 5, 3649--3668 (2020; Zbl 1440.35165) Full Text: DOI arXiv OpenURL
Bucur, Claudia A symmetry result in \(\mathbb{R}^2\) for global minimizers of a general type of nonlocal energy. (English) Zbl 1485.35375 Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 52, 26 p. (2020). MSC: 35R11 35A15 46E35 49J10 PDF BibTeX XML Cite \textit{C. Bucur}, Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 52, 26 p. (2020; Zbl 1485.35375) Full Text: DOI arXiv OpenURL
Gui, Changfeng; Li, Qinfeng Some energy estimates for stable solutions to fractional Allen-Cahn equations. (English) Zbl 1431.35227 Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 49, 17 p. (2020). MSC: 35R11 35J60 35J61 35B06 35J15 35J20 35J91 53A10 PDF BibTeX XML Cite \textit{C. Gui} and \textit{Q. Li}, Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 49, 17 p. (2020; Zbl 1431.35227) Full Text: DOI arXiv OpenURL
Figalli, Alessio; Serra, Joaquim On stable solutions for boundary reactions: a De Giorgi-type result in dimension \(4 + 1\). (English) Zbl 1441.35254 Invent. Math. 219, No. 1, 153-177 (2020). Reviewer: Andrew Bucki (Edmond) MSC: 35R11 35J61 58E12 PDF BibTeX XML Cite \textit{A. Figalli} and \textit{J. Serra}, Invent. Math. 219, No. 1, 153--177 (2020; Zbl 1441.35254) Full Text: DOI arXiv OpenURL
Fazly, Mostafa; Gui, Changfeng On nonlocal systems with jump processes of finite range and with decays. (English) Zbl 1440.35105 J. Differ. Equations 268, No. 6, 3171-3200 (2020). Reviewer: Dian K. Palagachev (Bari) MSC: 35J60 35R11 PDF BibTeX XML Cite \textit{M. Fazly} and \textit{C. Gui}, J. Differ. Equations 268, No. 6, 3171--3200 (2020; Zbl 1440.35105) Full Text: DOI arXiv OpenURL
Dipierro, Serena; Valdinoci, Enrico Long-range phase coexistence models: recent progress on the fractional Allen-Cahn equation. (English) Zbl 1442.35128 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 121-138 (2019). MSC: 35J61 35R11 PDF BibTeX XML Cite \textit{S. Dipierro} and \textit{E. Valdinoci}, in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 121--138 (2019; Zbl 1442.35128) Full Text: DOI arXiv OpenURL
Biagi, Stefano An application of a global lifting method for homogeneous Hörmander vector fields to the Gibbons conjecture. (English) Zbl 1428.35013 NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 6, Paper No. 49, 30 p. (2019). MSC: 35A30 35B06 35B08 35B51 35J70 35R03 PDF BibTeX XML Cite \textit{S. Biagi}, NoDEA, Nonlinear Differ. Equ. Appl. 26, No. 6, Paper No. 49, 30 p. (2019; Zbl 1428.35013) Full Text: DOI OpenURL
Wang, Kelei; Wei, Juncheng On Serrin’s overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg. (English) Zbl 1418.35191 Commun. Partial Differ. Equations 44, No. 9, 837-858 (2019). MSC: 35J91 35J25 35B09 PDF BibTeX XML Cite \textit{K. Wang} and \textit{J. Wei}, Commun. Partial Differ. Equations 44, No. 9, 837--858 (2019; Zbl 1418.35191) Full Text: DOI arXiv OpenURL
Hamel, François; Nadirashvili, Nikolai A Liouville theorem for the Euler equations in the plane. (English) Zbl 1421.35263 Arch. Ration. Mech. Anal. 233, No. 2, 599-642 (2019). MSC: 35Q31 76B03 35J61 PDF BibTeX XML Cite \textit{F. Hamel} and \textit{N. Nadirashvili}, Arch. Ration. Mech. Anal. 233, No. 2, 599--642 (2019; Zbl 1421.35263) Full Text: DOI arXiv OpenURL
Arapostathis, Ari; Biswas, Anup; Ganguly, Debdip Certain Liouville properties of eigenfunctions of elliptic operators. (English) Zbl 1421.35072 Trans. Am. Math. Soc. 371, No. 6, 4377-4409 (2019). Reviewer: Petar Popivanov (Sofia) MSC: 35J15 35A02 35B40 35B60 PDF BibTeX XML Cite \textit{A. Arapostathis} et al., Trans. Am. Math. Soc. 371, No. 6, 4377--4409 (2019; Zbl 1421.35072) Full Text: DOI arXiv OpenURL
Fazly, Mostafa; Sire, Yannick Symmetry properties for solutions of nonlocal equations involving nonlinear operators. (English) Zbl 1412.35117 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 2, 523-543 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35J60 35B35 35R11 35A15 PDF BibTeX XML Cite \textit{M. Fazly} and \textit{Y. Sire}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 2, 523--543 (2019; Zbl 1412.35117) Full Text: DOI arXiv OpenURL
Hou, Songbo Gradient estimates for the Allen-Cahn equation on Riemannian manifolds. (English) Zbl 1404.35186 Proc. Am. Math. Soc. 147, No. 2, 619-628 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35J61 58J05 35B53 PDF BibTeX XML Cite \textit{S. Hou}, Proc. Am. Math. Soc. 147, No. 2, 619--628 (2019; Zbl 1404.35186) Full Text: DOI arXiv OpenURL
Hamel, François; Nadirashvili, Nikolai Parallel and circular flows for the two-dimensional Euler equations. (English) Zbl 1475.35253 Sémin. Laurent Schwartz, EDP Appl. 2017-2018, Exp. No. 5, 13 p. (2018). MSC: 35Q31 PDF BibTeX XML Cite \textit{F. Hamel} and \textit{N. Nadirashvili}, Sémin. Laurent Schwartz, EDP Appl. 2017--2018, Exp. No. 5, 13 p. (2018; Zbl 1475.35253) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{H. Chan} and \textit{J. Wei}, Sci. China, Math. 61, No. 11, 1925--1946 (2018; Zbl 1402.35023) Full Text: DOI OpenURL
Chen, Jiajie; Zhang, Pingwen; Zhang, Zhifei Local minimizer and de Giorgi’s type conjecture for the isotropic-nematic interface problem. (English) Zbl 1400.82287 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 129, 19 p. (2018). MSC: 82D30 35J47 35J61 82B24 82B26 82B27 PDF BibTeX XML Cite \textit{J. Chen} et al., Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 129, 19 p. (2018; Zbl 1400.82287) Full Text: DOI OpenURL
Cabré, Xavier; Lucia, Marcello; Sanchón, Manel; Villegas, Salvador Antisymmetry of solutions for some weighted elliptic problems. (English) Zbl 1391.35140 Commun. Partial Differ. Equations 43, No. 3, 506-547 (2018). MSC: 35J61 35B06 35B07 PDF BibTeX XML Cite \textit{X. Cabré} et al., Commun. Partial Differ. Equations 43, No. 3, 506--547 (2018; Zbl 1391.35140) Full Text: DOI arXiv Link OpenURL
Malchiodi, Andrea; Mandel, Rainer; Rizzi, Matteo Periodic solutions to a Cahn-Hilliard-Willmore equation in the plane. (English) Zbl 1397.35219 Arch. Ration. Mech. Anal. 228, No. 3, 821-866 (2018). Reviewer: Vishnu Dutt Sharma (Mumbai) MSC: 35Q35 49Q20 53A05 35B10 76A05 PDF BibTeX XML Cite \textit{A. Malchiodi} et al., Arch. Ration. Mech. Anal. 228, No. 3, 821--866 (2018; Zbl 1397.35219) Full Text: DOI arXiv OpenURL
Liu, Yong; Wang, Kelei; Wei, Juncheng On a free boundary problem and minimal surfaces. (English) Zbl 1388.35230 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 4, 993-1017 (2018). MSC: 35R35 53A10 PDF BibTeX XML Cite \textit{Y. Liu} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 4, 993--1017 (2018; Zbl 1388.35230) Full Text: DOI arXiv OpenURL
Fazly, Mostafa Stable solutions of symmetric systems involving hypoelliptic operators. (English) Zbl 1387.53042 J. Funct. Anal. 274, No. 12, 3470-3502 (2018). MSC: 53C17 35R03 35A23 53C21 35H10 PDF BibTeX XML Cite \textit{M. Fazly}, J. Funct. Anal. 274, No. 12, 3470--3502 (2018; Zbl 1387.53042) Full Text: DOI arXiv OpenURL
Cinti, Eleonora Saddle-shaped solutions for the fractional Allen-Cahn equation. (English) Zbl 1375.35195 Discrete Contin. Dyn. Syst., Ser. S 11, No. 3, 441-463 (2018). MSC: 35J61 35B08 35J20 35R11 PDF BibTeX XML Cite \textit{E. Cinti}, Discrete Contin. Dyn. Syst., Ser. S 11, No. 3, 441--463 (2018; Zbl 1375.35195) Full Text: DOI OpenURL
Chen, K.-S.; Muratov, C. B.; Yan, X. Layer solutions for a one-dimensional nonlocal model of Ginzburg-Landau type. (English) Zbl 1390.35393 Math. Model. Nat. Phenom. 12, No. 6, 68-90 (2017). MSC: 35R11 35J20 49J20 PDF BibTeX XML Cite \textit{K. S. Chen} et al., Math. Model. Nat. Phenom. 12, No. 6, 68--90 (2017; Zbl 1390.35393) Full Text: DOI OpenURL
Liu, Yong; Wang, Kelei; Wei, Juncheng Global minimizers of the Allen-Cahn equation in dimension \(n\geq 8\). (English. French summary) Zbl 1380.35071 J. Math. Pures Appl. (9) 108, No. 6, 818-840 (2017). Reviewer: Rodica Luca (Iaşi) MSC: 35J05 35J61 35J20 PDF BibTeX XML Cite \textit{Y. Liu} et al., J. Math. Pures Appl. (9) 108, No. 6, 818--840 (2017; Zbl 1380.35071) Full Text: DOI arXiv OpenURL
Fazly, Mostafa Stable solutions of symmetric systems on Riemannian manifolds. (English) Zbl 1378.58016 Proc. Am. Math. Soc. 145, No. 12, 5435-5449 (2017). MSC: 58J05 53B21 53C21 35R01 35J48 PDF BibTeX XML Cite \textit{M. Fazly}, Proc. Am. Math. Soc. 145, No. 12, 5435--5449 (2017; Zbl 1378.58016) Full Text: DOI arXiv OpenURL
Gui, Changfeng; Liu, Yong; Wei, Juncheng Two-end solutions to the Allen-Cahn equation in \(\mathbb{R}^3\). (English) Zbl 1386.35120 Adv. Math. 320, 926-992 (2017). Reviewer: David Kapanadze (Tbilisi) MSC: 35J91 35J61 49Q05 35B07 PDF BibTeX XML Cite \textit{C. Gui} et al., Adv. Math. 320, 926--992 (2017; Zbl 1386.35120) Full Text: DOI arXiv OpenURL
Fazly, Mostafa Solutions of multi-component fractional symmetric systems. (English) Zbl 1441.35122 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 44, 33 p. (2017). Reviewer: Marius Ghergu (Dublin) MSC: 35J60 35J50 35B35 35B45 PDF BibTeX XML Cite \textit{M. Fazly}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 44, 33 p. (2017; Zbl 1441.35122) Full Text: DOI arXiv OpenURL
Wang, Kelei A new proof of Savin’s theorem on Allen-Cahn equations. (English) Zbl 1388.35069 J. Eur. Math. Soc. (JEMS) 19, No. 10, 2997-3051 (2017). Reviewer: Christos Sourdis (Torino) MSC: 35J91 35B06 35B08 PDF BibTeX XML Cite \textit{K. Wang}, J. Eur. Math. Soc. (JEMS) 19, No. 10, 2997--3051 (2017; Zbl 1388.35069) Full Text: DOI arXiv OpenURL
Poláčik, P. Planar propagating terraces and the asymptotic one-dimensional symmetry of solutions of semilinear parabolic equations. (English) Zbl 06780933 SIAM J. Math. Anal. 49, No. 5, 3716-3740 (2017). MSC: 35K15 35B40 35B35 35B05 PDF BibTeX XML Cite \textit{P. Poláčik}, SIAM J. Math. Anal. 49, No. 5, 3716--3740 (2017; Zbl 06780933) Full Text: DOI OpenURL
Băileşteanu, Mihai A Harnack inequality for the parabolic Allen-Cahn equation. (English) Zbl 1370.53045 Ann. Global Anal. Geom. 51, No. 4, 367-378 (2017). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 53C44 53C80 53Z05 35K05 35K55 PDF BibTeX XML Cite \textit{M. Băileşteanu}, Ann. Global Anal. Geom. 51, No. 4, 367--378 (2017; Zbl 1370.53045) Full Text: DOI arXiv OpenURL
Fusco, Giorgio Layered solutions to the vector Allen-Cahn equation in \(\mathbb{R}^2\). Minimizers and heteroclinic connections. (English) Zbl 1365.35025 Commun. Pure Appl. Anal. 16, No. 5, 1807-1841 (2017). MSC: 35J47 35J50 35J57 PDF BibTeX XML Cite \textit{G. Fusco}, Commun. Pure Appl. Anal. 16, No. 5, 1807--1841 (2017; Zbl 1365.35025) Full Text: DOI OpenURL
Cozzi, Matteo Regularity results and Harnack inequalities for minimizers and solutions of nonlocal problems: a unified approach via fractional De Giorgi classes. (English) Zbl 1366.49040 J. Funct. Anal. 272, No. 11, 4762-4837 (2017). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49N60 47G20 35R11 35B65 PDF BibTeX XML Cite \textit{M. Cozzi}, J. Funct. Anal. 272, No. 11, 4762--4837 (2017; Zbl 1366.49040) Full Text: DOI arXiv OpenURL
Bonheure, Denis; Hamel, François One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in \(\mathbb{R}^N\). (English) Zbl 1367.35050 Chin. Ann. Math., Ser. B 38, No. 1, 149-172 (2017). Reviewer: Patrick Winkert (Berlin) MSC: 35B51 35B53 35J30 35B06 PDF BibTeX XML Cite \textit{D. Bonheure} and \textit{F. Hamel}, Chin. Ann. Math., Ser. B 38, No. 1, 149--172 (2017; Zbl 1367.35050) Full Text: DOI arXiv OpenURL
Poláčik, P. Propagating terraces in a proof of the Gibbons conjecture and related results. (English) Zbl 1366.35093 J. Fixed Point Theory Appl. 19, No. 1, 113-128 (2017). MSC: 35K58 35B06 35B08 35K15 35B40 35J61 PDF BibTeX XML Cite \textit{P. Poláčik}, J. Fixed Point Theory Appl. 19, No. 1, 113--128 (2017; Zbl 1366.35093) Full Text: DOI OpenURL
Sandier, Etienne; Shafrir, Itai Small energy Ginzburg-Landau minimizers in \(\mathbb{R}^3\). (English) Zbl 1375.35130 J. Funct. Anal. 272, No. 9, 3946-3964 (2017). Reviewer: Leszek Gasiński (Kraków) MSC: 35J20 49J40 PDF BibTeX XML Cite \textit{E. Sandier} and \textit{I. Shafrir}, J. Funct. Anal. 272, No. 9, 3946--3964 (2017; Zbl 1375.35130) Full Text: DOI arXiv OpenURL
Rizzi, Matteo Clifford Tori and the singularly perturbed Cahn-Hilliard equation. (English) Zbl 1362.35032 J. Differ. Equations 262, No. 10, 5306-5362 (2017). Reviewer: Paolo Musolino (Padova) MSC: 35B25 35J61 35J30 35R01 PDF BibTeX XML Cite \textit{M. Rizzi}, J. Differ. Equations 262, No. 10, 5306--5362 (2017; Zbl 1362.35032) Full Text: DOI arXiv OpenURL
Hamel, François; Ros-Oton, Xavier; Sire, Yannick; Valdinoci, Enrico A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. (English) Zbl 1358.45004 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 2, 469-482 (2017). MSC: 45P05 47G10 45M10 PDF BibTeX XML Cite \textit{F. Hamel} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 2, 469--482 (2017; Zbl 1358.45004) Full Text: DOI arXiv OpenURL
Smith, Graham Bifurcation of solutions to the Allen-Cahn equation. (English) Zbl 1362.58007 J. Lond. Math. Soc., II. Ser. 94, No. 3, 667-687 (2016). Reviewer: Jesús Hernández (Madrid) MSC: 58E07 58E05 58J55 58E30 58E12 PDF BibTeX XML Cite \textit{G. Smith}, J. Lond. Math. Soc., II. Ser. 94, No. 3, 667--687 (2016; Zbl 1362.58007) Full Text: DOI arXiv OpenURL
Gui, Changfeng; Liu, Yong; Wei, Juncheng On variational characterization of four-end solutions of the Allen-Cahn equation in the plane. (English) Zbl 1350.35076 J. Funct. Anal. 271, No. 10, 2673-2700 (2016). MSC: 35J20 35B32 35C07 35R09 35R11 45G05 47G10 PDF BibTeX XML Cite \textit{C. Gui} et al., J. Funct. Anal. 271, No. 10, 2673--2700 (2016; Zbl 1350.35076) Full Text: DOI OpenURL
Novaga, Matteo; Pallara, Diego; Sire, Yannick A symmetry result for degenerate elliptic equations on the Wiener space with nonlinear boundary conditions and applications. (English) Zbl 1346.35225 Discrete Contin. Dyn. Syst., Ser. S 9, No. 3, 815-831 (2016). MSC: 35R15 35R11 35J61 35J70 PDF BibTeX XML Cite \textit{M. Novaga} et al., Discrete Contin. Dyn. Syst., Ser. S 9, No. 3, 815--831 (2016; Zbl 1346.35225) Full Text: DOI OpenURL
Farina, Alberto; Valdinoci, Enrico 1D symmetry for semilinear PDEs from the limit interface of the solution. (English) Zbl 1346.35064 Commun. Partial Differ. Equations 41, No. 4, 665-682 (2016). MSC: 35J61 35J15 PDF BibTeX XML Cite \textit{A. Farina} and \textit{E. Valdinoci}, Commun. Partial Differ. Equations 41, No. 4, 665--682 (2016; Zbl 1346.35064) Full Text: DOI arXiv OpenURL
Enciso, Alberto; Peralta-Salas, Daniel Topological monsters in elliptic equations and spectral theory. (English) Zbl 1350.35009 EMS Surv. Math. Sci. 3, No. 1, 107-130 (2016). MSC: 35B05 35J15 58J50 35P05 PDF BibTeX XML Cite \textit{A. Enciso} and \textit{D. Peralta-Salas}, EMS Surv. Math. Sci. 3, No. 1, 107--130 (2016; Zbl 1350.35009) Full Text: DOI OpenURL
Cabré, Xavier; Serra, Joaquim An extension problem for sums of fractional Laplacians and 1-D symmetry of phase transitions. (English) Zbl 1386.35430 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 246-265 (2016). MSC: 35R11 35B06 PDF BibTeX XML Cite \textit{X. Cabré} and \textit{J. Serra}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 246--265 (2016; Zbl 1386.35430) Full Text: DOI arXiv Link OpenURL
Cozzi, Matteo; Passalacqua, Tommaso One-dimensional solutions of non-local Allen-Cahn-type equations with rough kernels. (English) Zbl 1344.49001 J. Differ. Equations 260, No. 8, 6638-6696 (2016). MSC: 49J10 35R11 35B08 47G10 47B34 PDF BibTeX XML Cite \textit{M. Cozzi} and \textit{T. Passalacqua}, J. Differ. Equations 260, No. 8, 6638--6696 (2016; Zbl 1344.49001) Full Text: DOI arXiv OpenURL
Hamel, François Bistable transition fronts in \(\mathbb{R}^N\). (English) Zbl 1348.35111 Adv. Math. 289, 279-344 (2016). Reviewer: Christos Sourdis (Torino) MSC: 35K57 35C07 PDF BibTeX XML Cite \textit{F. Hamel}, Adv. Math. 289, 279--344 (2016; Zbl 1348.35111) Full Text: DOI arXiv OpenURL
Del Pino, Manuel; Pacard, Frank; Wei, Juncheng Serrin’s overdetermined problem and constant mean curvature surfaces. (English) Zbl 1342.35188 Duke Math. J. 164, No. 14, 2643-2722 (2015). Reviewer: Kungching Chang (Beijing) MSC: 35N25 35J25 35J67 35J61 PDF BibTeX XML Cite \textit{M. Del Pino} et al., Duke Math. J. 164, No. 14, 2643--2722 (2015; Zbl 1342.35188) Full Text: DOI arXiv Euclid Link OpenURL
Fazly, Mostafa Rigidity results for stable solutions of symmetric systems. (English) Zbl 1327.35105 Proc. Am. Math. Soc. 143, No. 12, 5307-5321 (2015). MSC: 35J60 35B35 35B32 35J20 35B53 35B65 PDF BibTeX XML Cite \textit{M. Fazly}, Proc. Am. Math. Soc. 143, No. 12, 5307--5321 (2015; Zbl 1327.35105) Full Text: DOI arXiv OpenURL
Bonheure, Denis; Obersnel, Franco Optimal profiles in a phase-transition model with a saturating flux. (English) Zbl 1327.35126 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 334-357 (2015). MSC: 35J93 26D10 35B06 35J20 35J62 46E35 49J45 49Q20 53A10 PDF BibTeX XML Cite \textit{D. Bonheure} and \textit{F. Obersnel}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 334--357 (2015; Zbl 1327.35126) Full Text: DOI OpenURL
Gui, Changfeng; Zhao, Mingfeng Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian. (English) Zbl 1326.35068 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 4, 785-812 (2015). MSC: 35C07 35B32 35J20 35R09 35R11 45G05 47G10 PDF BibTeX XML Cite \textit{C. Gui} and \textit{M. Zhao}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 4, 785--812 (2015; Zbl 1326.35068) Full Text: DOI OpenURL
Dipierro, Serena; Pinamonti, Andrea Symmetry results for stable and monotone solutions to fibered systems of PDEs. (English) Zbl 1321.35043 Commun. Contemp. Math. 17, No. 4, Article ID 1450035, 22 p. (2015). MSC: 35J50 35J70 35B06 PDF BibTeX XML Cite \textit{S. Dipierro} and \textit{A. Pinamonti}, Commun. Contemp. Math. 17, No. 4, Article ID 1450035, 22 p. (2015; Zbl 1321.35043) Full Text: DOI arXiv OpenURL
Karali, Georgia; Sourdis, Christos The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit. (English) Zbl 1316.35240 Arch. Ration. Mech. Anal. 217, No. 2, 439-523 (2015). MSC: 35Q35 82D50 82B10 PDF BibTeX XML Cite \textit{G. Karali} and \textit{C. Sourdis}, Arch. Ration. Mech. Anal. 217, No. 2, 439--523 (2015; Zbl 1316.35240) Full Text: DOI arXiv OpenURL
Fazly, Mostafa; Sire, Yannick Symmetry results for fractional elliptic systems and related problems. (English) Zbl 1322.35163 Commun. Partial Differ. Equations 40, No. 6, 1070-1095 (2015). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 35R11 35B08 35B53 35B06 PDF BibTeX XML Cite \textit{M. Fazly} and \textit{Y. Sire}, Commun. Partial Differ. Equations 40, No. 6, 1070--1095 (2015; Zbl 1322.35163) Full Text: DOI arXiv OpenURL
Banerjee, Agnid; Garofalo, Nicola Modica type gradient estimates for an inhomogeneous variant of the normalized \(p\)-Laplacian evolution. (English) Zbl 1327.35223 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 458-468 (2015). Reviewer: Christos Sourdis (Torino) MSC: 35K92 PDF BibTeX XML Cite \textit{A. Banerjee} and \textit{N. Garofalo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 121, 458--468 (2015; Zbl 1327.35223) Full Text: DOI arXiv OpenURL
Kowalczyk, Michał; Liu, Yong; Wei, Juncheng Singly periodic solutions of the Allen-Cahn equation and the Toda lattice. (English) Zbl 1321.35054 Commun. Partial Differ. Equations 40, No. 2, 329-356 (2015). Reviewer: Satoshi Tanaka (Okayama) MSC: 35J61 35B10 PDF BibTeX XML Cite \textit{M. Kowalczyk} et al., Commun. Partial Differ. Equations 40, No. 2, 329--356 (2015; Zbl 1321.35054) Full Text: DOI Link OpenURL
Demengel, F. Qualitative properties of a non-linear system involving the \(p\)-Laplacian operator and a De Giorgi type result. (English) Zbl 1317.35064 Appl. Anal. 94, No. 4, 725-746 (2015). Reviewer: Leszek Gasiński (Kraków) MSC: 35J50 35B06 35B40 PDF BibTeX XML Cite \textit{F. Demengel}, Appl. Anal. 94, No. 4, 725--746 (2015; Zbl 1317.35064) Full Text: DOI OpenURL
Cabré, Xavier; Sire, Yannick Nonlinear equations for fractional Laplacians. II: Existence, uniqueness, and qualitative properties of solutions. (English) Zbl 1317.35280 Trans. Am. Math. Soc. 367, No. 2, 911-941 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35R11 35J05 35A01 35A02 35A15 35B06 35B40 PDF BibTeX XML Cite \textit{X. Cabré} and \textit{Y. Sire}, Trans. Am. Math. Soc. 367, No. 2, 911--941 (2015; Zbl 1317.35280) Full Text: DOI arXiv OpenURL
Kowalczyk, Michał; Liu, Yong; Pacard, Frank; Wei, Juncheng End-to-end construction for the Allen-Cahn equation in the plane. (English) Zbl 1311.35115 Calc. Var. Partial Differ. Equ. 52, No. 1-2, 281-302 (2015). Reviewer: Giovanni Anello (Messina) MSC: 35J61 PDF BibTeX XML Cite \textit{M. Kowalczyk} et al., Calc. Var. Partial Differ. Equ. 52, No. 1--2, 281--302 (2015; Zbl 1311.35115) Full Text: DOI OpenURL
Agudelo, Oscar; del Pino, Manuel; Wei, Juncheng Solutions with multiple catenoidal ends to the Allen-Cahn equation in \(\mathbb{R}^3\). (English. French summary) Zbl 1305.35079 J. Math. Pures Appl. (9) 103, No. 1, 142-218 (2015). Reviewer: Florin Catrina (New York) MSC: 35J91 35J61 53A10 35B40 PDF BibTeX XML Cite \textit{O. Agudelo} et al., J. Math. Pures Appl. (9) 103, No. 1, 142--218 (2015; Zbl 1305.35079) Full Text: DOI OpenURL
Kowalczyk, Michał; Liu, Yong; Pacard, Frank Multiple end solutions to the Allen-Cahn equation in \(\mathbb{R}^2\). (English) Zbl 1485.35128 Sémin. Laurent Schwartz, EDP Appl. 2013-2014, Exp. No. 10, 19 p. (2014). MSC: 35J05 35J15 35B08 PDF BibTeX XML Cite \textit{M. Kowalczyk} et al., Sémin. Laurent Schwartz, EDP Appl. 2013--2014, Exp. No. 10, 19 p. (2014; Zbl 1485.35128) Full Text: DOI OpenURL
Hu, Yan Existence results for a perturbed problem involving fractional Laplacians. (English) Zbl 1475.35387 Abstr. Appl. Anal. 2014, Article ID 548301, 10 p. (2014). MSC: 35R11 35A01 35J91 PDF BibTeX XML Cite \textit{Y. Hu}, Abstr. Appl. Anal. 2014, Article ID 548301, 10 p. (2014; Zbl 1475.35387) Full Text: DOI OpenURL
del Mar González, María; Sáez, Mariel; Sire, Yannick Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties. (English) Zbl 1317.35288 Ann. Mat. Pura Appl. (4) 193, No. 6, 1823-1850 (2014). Reviewer: Florin Catrina (New York) MSC: 35R11 35J91 35A01 35A02 35B06 PDF BibTeX XML Cite \textit{M. del Mar González} et al., Ann. Mat. Pura Appl. (4) 193, No. 6, 1823--1850 (2014; Zbl 1317.35288) Full Text: DOI arXiv OpenURL
Hu, Yan Layer solutions for a class of semilinear elliptic equations involving fractional Laplacians. (English) Zbl 1317.35282 Bound. Value Probl. 2014, Paper No. 41, 20 p. (2014). Reviewer: Satoshi Tanaka (Okayama) MSC: 35R11 35B20 49J45 35B40 PDF BibTeX XML Cite \textit{Y. Hu}, Bound. Value Probl. 2014, Paper No. 41, 20 p. (2014; Zbl 1317.35282) Full Text: DOI OpenURL
Alessio, Francesca; Montecchiari, Piero Multiplicity of layered solutions for Allen-Cahn systems with symmetric double well potential. (English) Zbl 1301.35033 J. Differ. Equations 257, No. 12, 4572-4599 (2014). MSC: 35J50 35J61 35J60 35B05 35B40 35J20 34C37 PDF BibTeX XML Cite \textit{F. Alessio} and \textit{P. Montecchiari}, J. Differ. Equations 257, No. 12, 4572--4599 (2014; Zbl 1301.35033) Full Text: DOI arXiv OpenURL
Ghoussoub, Nassif; Pass, Brendan Decoupling of DeGiorgi-type systems via multi-marginal optimal transport. (English) Zbl 1294.49024 Commun. Partial Differ. Equations 39, No. 6, 1032-1047 (2014). MSC: 49Q20 35B08 35B35 39B72 PDF BibTeX XML Cite \textit{N. Ghoussoub} and \textit{B. Pass}, Commun. Partial Differ. Equations 39, No. 6, 1032--1047 (2014; Zbl 1294.49024) Full Text: DOI arXiv OpenURL
Cesaroni, Annalisa; Novaga, Matteo; Valdinoci, Enrico A symmetry result for the Ornstein-Uhlenbeck operator. (English) Zbl 1285.35007 Discrete Contin. Dyn. Syst. 34, No. 6, 2451-2467 (2014). MSC: 35J15 35J20 35J61 PDF BibTeX XML Cite \textit{A. Cesaroni} et al., Discrete Contin. Dyn. Syst. 34, No. 6, 2451--2467 (2014; Zbl 1285.35007) Full Text: DOI arXiv OpenURL
Cabré, Xavier; Cinti, Eleonora Sharp energy estimates for nonlinear fractional diffusion equations. (English) Zbl 1282.35399 Calc. Var. Partial Differ. Equ. 49, No. 1-2, 233-269 (2014). MSC: 35R11 35B06 35B08 PDF BibTeX XML Cite \textit{X. Cabré} and \textit{E. Cinti}, Calc. Var. Partial Differ. Equ. 49, No. 1--2, 233--269 (2014; Zbl 1282.35399) Full Text: DOI arXiv OpenURL
Moradifam, Amir Sharp counterexamples related to the De Giorgi conjecture in dimensions \(4\leq n \leq 8\). (English) Zbl 1282.35110 Proc. Am. Math. Soc. 142, No. 1, 199-203 (2014). Reviewer: Yehuda Pinchover (Haifa) MSC: 35B53 35J10 35B09 35A01 35B08 PDF BibTeX XML Cite \textit{A. Moradifam}, Proc. Am. Math. Soc. 142, No. 1, 199--203 (2014; Zbl 1282.35110) Full Text: DOI OpenURL
Sire, Yannick Elliptic problems with integral diffusion. (English) Zbl 1323.35203 Sémin. Laurent Schwartz, EDP Appl. 2011-2012, Exp. No. XXI, 10 p. (2013). Reviewer: Christopher Goodrich (Omaha) MSC: 35R11 35J05 35A01 35B65 35J65 53C44 58B20 PDF BibTeX XML Cite \textit{Y. Sire}, Sémin. Laurent Schwartz, EDP Appl. 2011--2012, Exp. No. XXI, 10 p. (2013; Zbl 1323.35203) Full Text: DOI Link OpenURL
Dipierro, Serena; Pinamonti, Andrea A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian. (English) Zbl 1286.35100 J. Differ. Equations 255, No. 1, 85-119 (2013). Reviewer: Giovanni Anello (Messina) MSC: 35J47 PDF BibTeX XML Cite \textit{S. Dipierro} and \textit{A. Pinamonti}, J. Differ. Equations 255, No. 1, 85--119 (2013; Zbl 1286.35100) Full Text: DOI arXiv OpenURL