Esposito, Francesco; Farina, Alberto; Montoro, Luigi; Sciunzi, Berardino Monotonicity of positive solutions to quasilinear elliptic equations in half-spaces with a changing-sign nonlinearity. (English) Zbl 07542667 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 154, 14 p. (2022). Reviewer: Giovanni Anello (Messina) MSC: 35J62 35J92 35B06 35B50 35B51 PDF BibTeX XML Cite \textit{F. Esposito} et al., Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 154, 14 p. (2022; Zbl 07542667) Full Text: DOI OpenURL
Jin, Sangdon Multi-bump solutions for nonlinear elliptic equations involving critical Sobolev exponents. (English) Zbl 07515350 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112829, 26 p. (2022). MSC: 35J91 35A01 PDF BibTeX XML Cite \textit{S. Jin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 220, Article ID 112829, 26 p. (2022; Zbl 07515350) Full Text: DOI OpenURL
Sun, Tao; Su, Hua Monotonicity and symmetry of solutions to fractional Laplacian in strips. (English) Zbl 1480.35124 J. Funct. Spaces 2021, Article ID 5354775, 5 p. (2021). MSC: 35J05 35R11 35J67 PDF BibTeX XML Cite \textit{T. Sun} and \textit{H. Su}, J. Funct. Spaces 2021, Article ID 5354775, 5 p. (2021; Zbl 1480.35124) Full Text: DOI OpenURL
Guo, Yuxia; Peng, Shaolong A direct method of moving planes for fully nonlinear nonlocal operators and applications. (English) Zbl 1479.35919 Discrete Contin. Dyn. Syst., Ser. S 14, No. 6, 1871-1897 (2021). MSC: 35R11 35B06 35B50 35B53 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{S. Peng}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 6, 1871--1897 (2021; Zbl 1479.35919) Full Text: DOI OpenURL
Hai, D. D.; Muthunayake, A.; Shivaji, R. A uniqueness result for a class of infinite semipositone problems with nonlinear boundary conditions. (English) Zbl 07436691 Positivity 25, No. 4, 1357-1371 (2021). MSC: 34B18 34B08 PDF BibTeX XML Cite \textit{D. D. Hai} et al., Positivity 25, No. 4, 1357--1371 (2021; Zbl 07436691) Full Text: DOI OpenURL
Aftalion, Amandine; Farina, Alberto; Nguyen, Luc Moving planes for domain walls in a coupled system. (English) Zbl 1479.35358 Commun. Partial Differ. Equations 46, No. 8, 1410-1439 (2021). MSC: 35J57 35A01 PDF BibTeX XML Cite \textit{A. Aftalion} et al., Commun. Partial Differ. Equations 46, No. 8, 1410--1439 (2021; Zbl 1479.35358) Full Text: DOI arXiv OpenURL
Xiong, Qi; Zhang, Zhenqiu Maximum principles for nonlocal double phase equations and monotonicity of solutions. (English) Zbl 1477.35305 Mediterr. J. Math. 18, No. 6, Paper No. 257, 26 p. (2021). MSC: 35R11 35B50 PDF BibTeX XML Cite \textit{Q. Xiong} and \textit{Z. Zhang}, Mediterr. J. Math. 18, No. 6, Paper No. 257, 26 p. (2021; Zbl 1477.35305) Full Text: DOI OpenURL
Montoro, Luigi Monotonicity of positive solutions to \(- \Delta_p u + a(u)| \nabla u|^q = F(U) \) in the half-plane in the case \(p\leqslant 2\). (English) Zbl 1473.35318 Vespri, Vincenzo (ed.) et al., Harnack inequalities and nonlinear operators. Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto. Cham: Springer. Springer INdAM Ser. 46, 159-174 (2021). MSC: 35J92 35J25 35B09 PDF BibTeX XML Cite \textit{L. Montoro}, Springer INdAM Ser. 46, 159--174 (2021; Zbl 1473.35318) Full Text: DOI OpenURL
Wu, Leyun Sliding methods for the higher order fractional Laplacians. (English) Zbl 07382485 Fract. Calc. Appl. Anal. 24, No. 3, 923-949 (2021). MSC: 35B09 35A01 35B53 35J47 PDF BibTeX XML Cite \textit{L. Wu}, Fract. Calc. Appl. Anal. 24, No. 3, 923--949 (2021; Zbl 07382485) 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
Ciraolo, Giulio; Roncoroni, Alberto; Vezzoni, Luigi Quantitative stability for hypersurfaces with almost constant curvature in space forms. (English) Zbl 1471.53054 Ann. Mat. Pura Appl. (4) 200, No. 5, 2043-2083 (2021). MSC: 53C42 53C30 35B50 53C24 PDF BibTeX XML Cite \textit{G. Ciraolo} et al., Ann. Mat. Pura Appl. (4) 200, No. 5, 2043--2083 (2021; Zbl 1471.53054) Full Text: DOI arXiv OpenURL
Chatzigeorgiou, Georgiana; Milakis, Emmanouil Regularity for fully nonlinear parabolic equations with oblique boundary data. (English) Zbl 1465.35087 Rev. Mat. Iberoam. 37, No. 2, 775-820 (2021). MSC: 35B65 35K20 35K55 35D40 PDF BibTeX XML Cite \textit{G. Chatzigeorgiou} and \textit{E. Milakis}, Rev. Mat. Iberoam. 37, No. 2, 775--820 (2021; Zbl 1465.35087) Full Text: DOI arXiv OpenURL
Guo, Yuxia; Peng, Shaolong Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations. (English) Zbl 1465.35394 Z. Angew. Math. Phys. 72, No. 3, Paper No. 120, 20 p. (2021). MSC: 35R11 35J61 35B06 35B45 35J40 35J91 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{S. Peng}, Z. Angew. Math. Phys. 72, No. 3, Paper No. 120, 20 p. (2021; Zbl 1465.35394) Full Text: DOI OpenURL
Dai, Wei; Qin, Guolin Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications. (English) Zbl 1467.35072 Ann. Mat. Pura Appl. (4) 200, No. 3, 1085-1134 (2021). Reviewer: Giovanni Anello (Messina) MSC: 35B50 35R11 35B06 35B53 35J96 PDF BibTeX XML Cite \textit{W. Dai} and \textit{G. Qin}, Ann. Mat. Pura Appl. (4) 200, No. 3, 1085--1134 (2021; Zbl 1467.35072) Full Text: DOI arXiv OpenURL
Chen, Xueying; Bao, Gejun; Li, Guanfeng Monotonicity of solutions for the uniformly elliptic nonlocal Bellman equation on the upper half space. (English) Zbl 1459.35151 J. Math. Anal. Appl. 496, No. 2, Article ID 124843, 19 p. (2021). MSC: 35J60 35R11 30B50 35A02 PDF BibTeX XML Cite \textit{X. Chen} et al., J. Math. Anal. Appl. 496, No. 2, Article ID 124843, 19 p. (2021; Zbl 1459.35151) Full Text: DOI OpenURL
Ma, Lingwei; Zhang, Zhenqiu Monotonicity for fractional Laplacian systems in unbounded Lipschitz domains. (English) Zbl 1458.35457 Discrete Contin. Dyn. Syst. 41, No. 2, 537-552 (2021). MSC: 35R11 35B50 35J57 35J61 PDF BibTeX XML Cite \textit{L. Ma} and \textit{Z. Zhang}, Discrete Contin. Dyn. Syst. 41, No. 2, 537--552 (2021; Zbl 1458.35457) Full Text: DOI OpenURL
Farina, Alberto Some results about semilinear elliptic problems on half-spaces. (English) Zbl 07511721 Math. Eng. (Springfield) 2, No. 4, 709-721 (2020). MSC: 35J91 35B51 PDF BibTeX XML Cite \textit{A. Farina}, Math. Eng. (Springfield) 2, No. 4, 709--721 (2020; Zbl 07511721) Full Text: DOI OpenURL
Niu, Yahui Monotonicity of solutions for a class of nonlocal Monge-Ampère problem. (English) Zbl 1460.35378 Commun. Pure Appl. Anal. 19, No. 11, 5269-5283 (2020). MSC: 35R11 35J96 PDF BibTeX XML Cite \textit{Y. Niu}, Commun. Pure Appl. Anal. 19, No. 11, 5269--5283 (2020; Zbl 1460.35378) Full Text: DOI OpenURL
Alotaibi, Trad; Hai, D. D.; Shivaji, R. Existence and nonexistence of positive radial solutions for a class of \(p\)-Laplacian superlinear problems with nonlinear boundary conditions. (English) Zbl 1460.35172 Commun. Pure Appl. Anal. 19, No. 9, 4655-4666 (2020). MSC: 35J92 35J66 35J75 35A01 PDF BibTeX XML Cite \textit{T. Alotaibi} et al., Commun. Pure Appl. Anal. 19, No. 9, 4655--4666 (2020; Zbl 1460.35172) Full Text: DOI OpenURL
Ciraolo, Giulio; Vezzoni, Luigi Quantitative stability for hypersurfaces with almost constant mean curvature in the hyperbolic space. (English) Zbl 1447.53050 Indiana Univ. Math. J. 69, No. 4, 1105-1153 (2020). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C40 35B50 53C24 PDF BibTeX XML Cite \textit{G. Ciraolo} and \textit{L. Vezzoni}, Indiana Univ. Math. J. 69, No. 4, 1105--1153 (2020; Zbl 1447.53050) Full Text: DOI arXiv OpenURL
Ma, Lingwei; Zhang, Zhenqiu Monotonicity of positive solutions for fractional \(p\)-systems in unbounded Lipschitz domains. (English) Zbl 1443.35172 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111892, 17 p. (2020). MSC: 35R11 35B50 PDF BibTeX XML Cite \textit{L. Ma} and \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111892, 17 p. (2020; Zbl 1443.35172) Full Text: DOI OpenURL
Hu, Yunyun Symmetry of positive solutions to fractional equations in bounded domains and unbounded cylinders. (English) Zbl 1448.35546 Commun. Pure Appl. Anal. 19, No. 7, 3723-3734 (2020). MSC: 35R11 35B09 35B06 PDF BibTeX XML Cite \textit{Y. Hu}, Commun. Pure Appl. Anal. 19, No. 7, 3723--3734 (2020; Zbl 1448.35546) Full Text: DOI OpenURL
Polizzi, Francesco; Sabatino, Pietro; Sciunzi, Berardino A weak comparison principle in tubular neighbourhoods of embedded manifolds. (English) Zbl 1437.35129 Rev. Mat. Iberoam. 36, No. 2, 319-340 (2020). MSC: 35B51 35J57 35J61 35R45 PDF BibTeX XML Cite \textit{F. Polizzi} et al., Rev. Mat. Iberoam. 36, No. 2, 319--340 (2020; Zbl 1437.35129) Full Text: DOI arXiv OpenURL
Chen, Xueying; Bao, Gejun; Li, Guanfeng The sliding method for the nonlocal Monge-Ampère operator. (English) Zbl 1437.35419 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111786, 13 p. (2020). MSC: 35J96 PDF BibTeX XML Cite \textit{X. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111786, 13 p. (2020; Zbl 1437.35419) Full Text: DOI OpenURL
Kim, Seonghak; Vo, Hoang-Hung Liouville type result and long time behavior for Fisher-KPP equation with sign-changing and decaying potentials. (English) Zbl 1433.35208 J. Differ. Equations 268, No. 10, 5629-5671 (2020). MSC: 35P20 35J15 35C07 35B09 92D25 35B53 PDF BibTeX XML Cite \textit{S. Kim} and \textit{H.-H. Vo}, J. Differ. Equations 268, No. 10, 5629--5671 (2020; Zbl 1433.35208) Full Text: DOI OpenURL
Wu, Leyun; Chen, Wenxiong The sliding methods for the fractional \(p\)-Laplacian. (English) Zbl 07152656 Adv. Math. 361, Article ID 106933, 26 p. (2020). MSC: 35R11 65-XX PDF BibTeX XML Cite \textit{L. Wu} and \textit{W. Chen}, Adv. Math. 361, Article ID 106933, 26 p. (2020; Zbl 07152656) Full Text: DOI OpenURL
Barrios, B.; García-Melián, J.; Quaas, A. A note on the monotonicity of solutions for fractional equations in half-spaces. (English) Zbl 1417.35239 Proc. Am. Math. Soc. 147, No. 7, 3011-3019 (2019). MSC: 35S15 45M20 47G10 PDF BibTeX XML Cite \textit{B. Barrios} et al., Proc. Am. Math. Soc. 147, No. 7, 3011--3019 (2019; Zbl 1417.35239) Full Text: DOI OpenURL
Afrouzi, G. A.; Shakeri, S.; Chung, Nguyen Thanh On the existence results for a class of singular elliptic system involving indefinite weight functions and asymptotically linear growth forcing terms. (English) Zbl 1424.35153 Bol. Soc. Parana. Mat. (3) 37, No. 3, 67-74 (2019). MSC: 35J47 35A01 35J75 35J92 PDF BibTeX XML Cite \textit{G. A. Afrouzi} et al., Bol. Soc. Parana. Mat. (3) 37, No. 3, 67--74 (2019; Zbl 1424.35153) Full Text: Link OpenURL
Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A. Symmetry results in the half-space for a semi-linear fractional Laplace equation. (English) Zbl 1406.35017 Ann. Mat. Pura Appl. (4) 197, No. 5, 1385-1416 (2018). MSC: 35B06 35B09 35J61 45K05 35S11 35R11 PDF BibTeX XML Cite \textit{B. Barrios} et al., Ann. Mat. Pura Appl. (4) 197, No. 5, 1385--1416 (2018; Zbl 1406.35017) Full Text: DOI arXiv OpenURL
Li, Jing Monotonicity and radial symmetry results for Schrödinger systems with fractional diffusion. (English) Zbl 1381.35044 Pac. J. Math. 294, No. 1, 107-121 (2018). MSC: 35J60 35R11 PDF BibTeX XML Cite \textit{J. Li}, Pac. J. Math. 294, No. 1, 107--121 (2018; Zbl 1381.35044) Full Text: DOI OpenURL
Hai, D. D.; Shivaji, R. Positive radial solutions for a class of singular superlinear problems on the exterior of a ball with nonlinear boundary conditions. (English) Zbl 1392.35110 J. Math. Anal. Appl. 456, No. 2, 872-881 (2017). MSC: 35J25 35J65 35J05 PDF BibTeX XML Cite \textit{D. D. Hai} and \textit{R. Shivaji}, J. Math. Anal. Appl. 456, No. 2, 872--881 (2017; Zbl 1392.35110) Full Text: DOI OpenURL
Chhetri, M.; Girg, P. A global bifurcation result for a class of semipositone elliptic systems. (English) Zbl 1375.35102 J. Math. Anal. Appl. 453, No. 1, 255-270 (2017). MSC: 35J05 35J47 35B09 PDF BibTeX XML Cite \textit{M. Chhetri} and \textit{P. Girg}, J. Math. Anal. Appl. 453, No. 1, 255--270 (2017; Zbl 1375.35102) Full Text: DOI OpenURL
Barrios, B.; Del Pezzo, L.; García-Melián, J.; Quaas, A. Monotonicity of solutions for some nonlocal elliptic problems in half-spaces. (English) Zbl 1371.35105 Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 39, 16 p. (2017). MSC: 35J61 35R11 PDF BibTeX XML Cite \textit{B. Barrios} et al., Calc. Var. Partial Differ. Equ. 56, No. 2, Paper No. 39, 16 p. (2017; Zbl 1371.35105) Full Text: DOI arXiv Link OpenURL
Farina, Alberto; Sciunzi, Berardino Monotonicity and symmetry of nonnegative solutions to \(-\Delta u=f(u)\) in half-planes and strips. (English) Zbl 1370.35126 Adv. Nonlinear Stud. 17, No. 2, 297-310 (2017). Reviewer: Dian K. Palagachev (Bari) MSC: 35J61 35B51 35B06 PDF BibTeX XML Cite \textit{A. Farina} and \textit{B. Sciunzi}, Adv. Nonlinear Stud. 17, No. 2, 297--310 (2017; Zbl 1370.35126) Full Text: DOI arXiv OpenURL
Cheng, Tingzhi Monotonicity and symmetry of solutions to fractional Laplacian equation. (English) Zbl 1366.35247 Discrete Contin. Dyn. Syst. 37, No. 7, 3587-3599 (2017). MSC: 35S15 35B06 35J61 35R11 PDF BibTeX XML Cite \textit{T. Cheng}, Discrete Contin. Dyn. Syst. 37, No. 7, 3587--3599 (2017; Zbl 1366.35247) Full Text: DOI OpenURL
Li, Jing Monotonicity and symmetry of fractional Lane-Emden-type equation in the parabolic domain. (English) Zbl 1372.35340 Complex Var. Elliptic Equ. 62, No. 1, 135-147 (2017). MSC: 35R11 53C21 58J05 35B09 35B07 PDF BibTeX XML Cite \textit{J. Li}, Complex Var. Elliptic Equ. 62, No. 1, 135--147 (2017; Zbl 1372.35340) Full Text: DOI OpenURL
Farina, Alberto; Sciunzi, Berardino Qualitative properties and classification of nonnegative solutions to \(-\Delta u=f(u)\) in unbounded domains when \(f(0) < 0\). (English) Zbl 1377.35042 Rev. Mat. Iberoam. 32, No. 4, 1311-1330 (2016). Reviewer: Satoshi Tanaka (Okayama) MSC: 35B51 35B06 35J61 35J25 PDF BibTeX XML Cite \textit{A. Farina} and \textit{B. Sciunzi}, Rev. Mat. Iberoam. 32, No. 4, 1311--1330 (2016; Zbl 1377.35042) Full Text: DOI arXiv OpenURL
Cortázar, Carmen; Elgueta, Manuel; García-Melián, Jorge Nonnegative solutions of semilinear elliptic equations in half-spaces. (English. French summary) Zbl 1348.35069 J. Math. Pures Appl. (9) 106, No. 5, 866-876 (2016). MSC: 35J25 35J61 35B99 PDF BibTeX XML Cite \textit{C. Cortázar} et al., J. Math. Pures Appl. (9) 106, No. 5, 866--876 (2016; Zbl 1348.35069) Full Text: DOI OpenURL
Ciraolo, Giulio; Magnanini, Rolando; Vespri, Vincenzo Hölder stability for Serrin’s overdetermined problem. (English) Zbl 1348.35146 Ann. Mat. Pura Appl. (4) 195, No. 4, 1333-1345 (2016). Reviewer: Antonio Greco (Cagliari) MSC: 35N25 35B06 35J05 35J61 35B35 35B09 PDF BibTeX XML Cite \textit{G. Ciraolo} et al., Ann. Mat. Pura Appl. (4) 195, No. 4, 1333--1345 (2016; Zbl 1348.35146) Full Text: DOI arXiv OpenURL
Ciraolo, Giulio; Magnanini, Rolando; Sakaguchi, Shigeru Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration. (English) Zbl 1338.35132 J. Anal. Math. 128, 337-353 (2016). MSC: 35J15 PDF BibTeX XML Cite \textit{G. Ciraolo} et al., J. Anal. Math. 128, 337--353 (2016; Zbl 1338.35132) Full Text: DOI arXiv Link OpenURL
Dhanya, R.; Morris, Q.; Shivaji, R. Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball. (English) Zbl 1328.35024 J. Math. Anal. Appl. 434, No. 2, 1533-1548 (2016). MSC: 35J20 35J61 PDF BibTeX XML Cite \textit{R. Dhanya} et al., J. Math. Anal. Appl. 434, No. 2, 1533--1548 (2016; Zbl 1328.35024) Full Text: DOI OpenURL
Chhetri, M.; Drábek, P.; Shivaji, R. Existence of positive solutions for a class of \(p\)-Laplacian superlinear semipositone problems. (English) Zbl 1335.35080 Proc. R. Soc. Edinb., Sect. A, Math. 145, No. 5, 925-936 (2015). MSC: 35J92 35J60 35J25 35J65 35B09 PDF BibTeX XML Cite \textit{M. Chhetri} et al., Proc. R. Soc. Edinb., Sect. A, Math. 145, No. 5, 925--936 (2015; Zbl 1335.35080) Full Text: DOI OpenURL
Zhang, Lizhi Symmetry of solutions to semilinear equations involving the fractional Laplacian. (English) Zbl 1328.35289 Commun. Pure Appl. Anal. 14, No. 6, 2393-2409 (2015). MSC: 35R11 35B06 35J61 35B09 PDF BibTeX XML Cite \textit{L. Zhang}, Commun. Pure Appl. Anal. 14, No. 6, 2393--2409 (2015; Zbl 1328.35289) Full Text: DOI OpenURL
Vo, Hoang-Hung Persistence versus extinction under a climate change in mixed environments. (English) Zbl 1330.35216 J. Differ. Equations 259, No. 10, 4947-4988 (2015). Reviewer: Peixuan Weng (Guangzhou) MSC: 35K57 35B40 92D25 35C07 PDF BibTeX XML Cite \textit{H.-H. Vo}, J. Differ. Equations 259, No. 10, 4947--4988 (2015; Zbl 1330.35216) Full Text: DOI arXiv OpenURL
Sciunzi, Berardino Monotonicity results in half-spaces for the \(p\)-Laplacian. (English) Zbl 1326.35117 Proc. R. Soc. Edinb., Sect. A, Math. 145, No. 3, 597-610 (2015). Reviewer: Junichi Aramaki (Saitama) MSC: 35J30 35D30 PDF BibTeX XML Cite \textit{B. Sciunzi}, Proc. R. Soc. Edinb., Sect. A, Math. 145, No. 3, 597--610 (2015; Zbl 1326.35117) Full Text: DOI OpenURL
Goubet, Olivier; Labrunie, Simon The Dirichlet problem for \(-\Delta\varphi = \mathrm{e}^{- \varphi}\) in an infinite sector. Application to plasma equilibria. (English) Zbl 1317.35041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 119, 115-126 (2015). MSC: 35J25 35J91 35B40 35B65 82D10 PDF BibTeX XML Cite \textit{O. Goubet} and \textit{S. Labrunie}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 119, 115--126 (2015; Zbl 1317.35041) Full Text: DOI arXiv OpenURL
Berestycki, Henri; Rossi, Luca Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains. (English) Zbl 1332.35243 Commun. Pure Appl. Math. 68, No. 6, 1014-1065 (2015). Reviewer: Yehuda Pinchover (Haifa) MSC: 35P15 35B09 35B50 35J25 PDF BibTeX XML Cite \textit{H. Berestycki} and \textit{L. Rossi}, Commun. Pure Appl. Math. 68, No. 6, 1014--1065 (2015; Zbl 1332.35243) Full Text: DOI arXiv OpenURL
Farina, Alberto; Montoro, Luigi; Riey, Giuseppe; Sciunzi, Berardino Monotonicity of solutions to quasilinear problems with a first-order term in half-spaces. (English) Zbl 1319.35051 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 1, 1-22 (2015). Reviewer: Dian K. Palagachev (Bari) MSC: 35J62 35D30 35B09 35B51 35B53 PDF BibTeX XML Cite \textit{A. Farina} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 1, 1--22 (2015; Zbl 1319.35051) Full Text: DOI arXiv OpenURL
Banerjee, Agnid; Garofalo, Nicola Boundary behavior of nonnegative solutions of fully nonlinear parabolic equations. (English) Zbl 1317.35112 Manuscr. Math. 146, No. 1-2, 201-222 (2015). Reviewer: Nikos Katzourakis (Reading) MSC: 35K55 35D40 35B09 PDF BibTeX XML Cite \textit{A. Banerjee} and \textit{N. Garofalo}, Manuscr. Math. 146, No. 1--2, 201--222 (2015; Zbl 1317.35112) Full Text: DOI arXiv OpenURL
Ko, Eunkyung; Ramaswamy, Mythily; Shivaji, R. Uniqueness of positive radial solutions for a class of semipositone problems on the exterior of a ball. (English) Zbl 1308.35107 J. Math. Anal. Appl. 423, No. 1, 399-409 (2015). MSC: 35J65 35B09 PDF BibTeX XML Cite \textit{E. Ko} et al., J. Math. Anal. Appl. 423, No. 1, 399--409 (2015; Zbl 1308.35107) Full Text: DOI OpenURL
Goddard, Jerome II; Shivaji, Ratnasingham Diffusive logistic equation with constant yield harvesting and negative density dependent emigration on the boundary. (English) Zbl 1312.35112 J. Math. Anal. Appl. 414, No. 2, 561-573 (2014). MSC: 35J66 35B09 PDF BibTeX XML Cite \textit{J. Goddard II} and \textit{R. Shivaji}, J. Math. Anal. Appl. 414, No. 2, 561--573 (2014; Zbl 1312.35112) Full Text: DOI OpenURL
Abebe, Abraham; Chhetri, Maya; Sankar, Lakshmi; Shivaji, R. Positive solutions for a class of superlinear semipositone systems on exterior domains. (English) Zbl 06380177 Bound. Value Probl. 2014, Paper No. 198, 9 p. (2014). MSC: 35-XX PDF BibTeX XML Cite \textit{A. Abebe} et al., Bound. Value Probl. 2014, Paper No. 198, 9 p. (2014; Zbl 06380177) Full Text: DOI OpenURL
Silvestre, Luis; Sirakov, Boyan Boundary regularity for viscosity solutions of fully nonlinear elliptic equations. (English) Zbl 1308.35043 Commun. Partial Differ. Equations 39, No. 9, 1694-1717 (2014). Reviewer: Dian K. Palagachev (Bari) MSC: 35B65 35J15 35J25 35D40 PDF BibTeX XML Cite \textit{L. Silvestre} and \textit{B. Sirakov}, Commun. Partial Differ. Equations 39, No. 9, 1694--1717 (2014; Zbl 1308.35043) Full Text: DOI arXiv HAL OpenURL
Byeon, Jaeyoung; Tanaka, Kazunaga Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains. (English) Zbl 1295.35223 Calc. Var. Partial Differ. Equ. 50, No. 1-2, 365-397 (2014). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J60 35J20 58E05 PDF BibTeX XML Cite \textit{J. Byeon} and \textit{K. Tanaka}, Calc. Var. Partial Differ. Equ. 50, No. 1--2, 365--397 (2014; Zbl 1295.35223) Full Text: DOI OpenURL
Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming Monotonicity and nonexistence results to cooperative systems in the half space. (English) Zbl 1287.35017 J. Funct. Anal. 266, No. 2, 1088-1105 (2014). MSC: 35J47 35B09 PDF BibTeX XML Cite \textit{Z. Chen} et al., J. Funct. Anal. 266, No. 2, 1088--1105 (2014; Zbl 1287.35017) Full Text: DOI OpenURL
Farina, Alberto; Montoro, Luigi; Sciunzi, Berardino Monotonicity of solutions of quasilinear degenerate elliptic equation in half-spaces. (English) Zbl 1287.35037 Math. Ann. 357, No. 3, 855-893 (2013). Reviewer: Mohammed Bouchekif (Tlemcen) MSC: 35J70 35B05 35B65 35J62 PDF BibTeX XML Cite \textit{A. Farina} et al., Math. Ann. 357, No. 3, 855--893 (2013; Zbl 1287.35037) Full Text: DOI arXiv Link OpenURL
Ackermann, Nils; Clapp, Mónica; Pacella, Filomena Alternating sign multibump solutions of nonlinear elliptic equations in expanding tubular domains. (English) Zbl 1273.35132 Commun. Partial Differ. Equations 38, No. 4-6, 751-779 (2013). MSC: 35J61 35B40 PDF BibTeX XML Cite \textit{N. Ackermann} et al., Commun. Partial Differ. Equations 38, No. 4--6, 751--779 (2013; Zbl 1273.35132) Full Text: DOI arXiv OpenURL
Armstrong, Scott N.; Sirakov, Boyan; Smart, Charles K. Singular solutions of fully nonlinear elliptic equations and applications. (English) Zbl 1262.35105 Arch. Ration. Mech. Anal. 205, No. 2, 345-394 (2012). Reviewer: Marcelo Furtado (Brasília) MSC: 35J60 35B25 35B09 PDF BibTeX XML Cite \textit{S. N. Armstrong} et al., Arch. Ration. Mech. Anal. 205, No. 2, 345--394 (2012; Zbl 1262.35105) Full Text: DOI arXiv OpenURL
Farina, Alberto; Montoro, Luigi; Sciunzi, Berardino Monotonicity and one-dimensional symmetry for solutions of \(-\Delta_{p}u = f(u)\) in half-spaces. (English) Zbl 1246.35053 Calc. Var. Partial Differ. Equ. 43, No. 1-2, 123-145 (2012). Reviewer: Marcelo Furtado (Brasília) MSC: 35B51 35J91 35B53 35B06 PDF BibTeX XML Cite \textit{A. Farina} et al., Calc. Var. Partial Differ. Equ. 43, No. 1--2, 123--145 (2012; Zbl 1246.35053) Full Text: DOI arXiv OpenURL
Ackermann, Nils; Clapp, Mónica; Pacella, Filomena Self-focusing multibump standing waves in expanding waveguides. (English) Zbl 1229.35285 Milan J. Math. 79, No. 1, 221-232 (2011). MSC: 35Q60 78A50 78A60 PDF BibTeX XML Cite \textit{N. Ackermann} et al., Milan J. Math. 79, No. 1, 221--232 (2011; Zbl 1229.35285) Full Text: DOI OpenURL
Goddard, Jerome II; Lee, Eun Kyoung; Shivaji, R. Population models with diffusion, strong Allee effect, and nonlinear boundary conditions. (English) Zbl 1227.35172 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6202-6208 (2011). MSC: 35K61 35K58 92D25 PDF BibTeX XML Cite \textit{J. Goddard II} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6202--6208 (2011; Zbl 1227.35172) Full Text: DOI OpenURL
Charro, F.; Montoro, L.; Sciunzi, B. Monotonicity of solutions of fully nonlinear uniformly elliptic equations in the half-plane. (English) Zbl 1225.35086 J. Differ. Equations 251, No. 6, 1562-1579 (2011). Reviewer: Enrico Valdinoci (Roma) MSC: 35J60 35B05 35B09 35B50 35D40 PDF BibTeX XML Cite \textit{F. Charro} et al., J. Differ. Equations 251, No. 6, 1562--1579 (2011; Zbl 1225.35086) Full Text: DOI OpenURL
Shivaji, R.; Ye, Jinglong Nonexistence results for classes of \(3 \times 3\) elliptic systems. (English) Zbl 1214.35020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 4, 1485-1494 (2011). Reviewer: Satoshi Tanaka (Okayama) MSC: 35J47 35J57 35B30 35B51 PDF BibTeX XML Cite \textit{R. Shivaji} and \textit{J. Ye}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 4, 1485--1494 (2011; Zbl 1214.35020) Full Text: DOI OpenURL
Goddard, Jerome II; Shivaji, R.; Lee, Eun Kyoung Diffusive logistic equation with non-linear boundary conditions. (English) Zbl 1208.35082 J. Math. Anal. Appl. 375, No. 1, 365-370 (2011). MSC: 35K61 92D25 PDF BibTeX XML Cite \textit{J. Goddard II} et al., J. Math. Anal. Appl. 375, No. 1, 365--370 (2011; Zbl 1208.35082) Full Text: DOI OpenURL
Farina, Alberto; Valdinoci, Enrico A pointwise gradient estimate in possibly unbounded domains with nonnegative mean curvature. (English) Zbl 1200.35131 Adv. Math. 225, No. 5, 2808-2827 (2010). MSC: 35J61 35J25 35B45 PDF BibTeX XML Cite \textit{A. Farina} and \textit{E. Valdinoci}, Adv. Math. 225, No. 5, 2808--2827 (2010; Zbl 1200.35131) Full Text: DOI OpenURL
Dancer, E. N.; Wei, Juncheng; Weth, Tobias A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. (English) Zbl 1191.35121 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 3, 953-969 (2010). MSC: 35J57 35J47 35J10 81V80 35B45 35Q55 35B53 PDF BibTeX XML Cite \textit{E. N. Dancer} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 3, 953--969 (2010; Zbl 1191.35121) Full Text: DOI OpenURL
Lee, Eun Kyoung; Shivaji, R.; Ye, Jinglong Positive solutions for infinite semipositone problems with falling zeros. (English) Zbl 1190.35095 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4475-4479 (2010). MSC: 35J61 35J25 35J20 35B09 35J91 PDF BibTeX XML Cite \textit{E. K. Lee} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4475--4479 (2010; Zbl 1190.35095) Full Text: DOI OpenURL
Ali, Jaffar; Shivaji, R.; Wampler, Kellan Population models with diffusion, strong Allee effect and constant yield harvesting. (English) Zbl 1160.35437 J. Math. Anal. Appl. 352, No. 2, 907-913 (2009). MSC: 35K57 92D25 PDF BibTeX XML Cite \textit{J. Ali} et al., J. Math. Anal. Appl. 352, No. 2, 907--913 (2009; Zbl 1160.35437) Full Text: DOI OpenURL
Dancer, E. N. Moving plane methods for systems on half spaces. (English) Zbl 1154.35030 Math. Ann. 342, No. 2, 245-254 (2008). Reviewer: Dian K. Palagachev (Bari) MSC: 35J50 35J45 35J55 PDF BibTeX XML Cite \textit{E. N. Dancer}, Math. Ann. 342, No. 2, 245--254 (2008; Zbl 1154.35030) Full Text: DOI OpenURL
Afrouzi, G. A.; Naghizadeh, Z.; Mahdavi, S. Computational method to obtain positive solution for classes of Laplacian systems with sign-changing weight functions. (English) Zbl 1132.65102 Appl. Math. Comput. 195, No. 2, 460-465 (2008). MSC: 65N25 35P30 PDF BibTeX XML Cite \textit{G. A. Afrouzi} et al., Appl. Math. Comput. 195, No. 2, 460--465 (2008; Zbl 1132.65102) Full Text: DOI OpenURL
Dolcetta, I. Capuzzo; Vitolo, A. A qualitative Phragmèn-Lindelöf theorem for fully nonlinear elliptic equations. (English) Zbl 1130.35051 J. Differ. Equations 243, No. 2, 578-592 (2007). Reviewer: Elvira Mascolo (Firenze) MSC: 35J60 35B40 PDF BibTeX XML Cite \textit{I. C. Dolcetta} and \textit{A. Vitolo}, J. Differ. Equations 243, No. 2, 578--592 (2007; Zbl 1130.35051) Full Text: DOI OpenURL
Ali, Jaffar; Shivaji, R. Existence results for classes of Laplacian systems with sign-changing weight. (English) Zbl 1165.35012 Appl. Math. Lett. 20, No. 5, 558-562 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J55 35J65 PDF BibTeX XML Cite \textit{J. Ali} and \textit{R. Shivaji}, Appl. Math. Lett. 20, No. 5, 558--562 (2007; Zbl 1165.35012) Full Text: DOI OpenURL
Ali, Jaffar; Shivaji, R. Positive solutions for a class of \(p\)-Laplacian systems with multiple parameters. (English) Zbl 1405.35039 J. Math. Anal. Appl. 335, No. 2, 1013-1019 (2007). MSC: 35J58 35J60 35B09 PDF BibTeX XML Cite \textit{J. Ali} and \textit{R. Shivaji}, J. Math. Anal. Appl. 335, No. 2, 1013--1019 (2007; Zbl 1405.35039) Full Text: DOI OpenURL
Wang, Weimin; Hong, Li Positive solutions of some semilinear elliptic equations in \(\mathbb{R}_{+}^{n}\) with Neumann boundary conditions. (English) Zbl 1215.35058 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 4, 936-949 (2007). MSC: 35J25 PDF BibTeX XML Cite \textit{W. Wang} and \textit{L. Hong}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 4, 936--949 (2007; Zbl 1215.35058) Full Text: DOI OpenURL
Hai, D. D.; Shivaji, R. Uniqueness of positive solutions for a class of semipositone elliptic systems. (English) Zbl 1220.35038 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 2, 396-402 (2007). Reviewer: Klaus R. Schneider (Berlin) MSC: 35J57 34B18 PDF BibTeX XML Cite \textit{D. D. Hai} and \textit{R. Shivaji}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 2, 396--402 (2007; Zbl 1220.35038) Full Text: DOI OpenURL
Ali, Jaffar; Shivaji, R. An existence result for a semipositone problem with a sign changing weight. (English) Zbl 1136.35353 Abstr. Appl. Anal. 2006, Article ID 70692, 5 p. (2006). MSC: 35J60 35J25 PDF BibTeX XML Cite \textit{J. Ali} and \textit{R. Shivaji}, Abstr. Appl. Anal. 2006, Article ID 70692, 5 p. (2006; Zbl 1136.35353) Full Text: DOI EuDML OpenURL
Capuzzo-Dolcetta, I.; Leoni, F.; Vitolo, A. The Alexandrov-Bakelman-Pucci weak maximum principle for fully nonlinear equations in unbounded domains. (English) Zbl 1134.35359 Commun. Partial Differ. Equations 30, No. 10-12, 1863-1881 (2005). MSC: 35J65 35B50 49L25 PDF BibTeX XML Cite \textit{I. Capuzzo-Dolcetta} et al., Commun. Partial Differ. Equations 30, No. 10--12, 1863--1881 (2005; Zbl 1134.35359) Full Text: DOI OpenURL
Dancer, E. N. Stable and finite Morse index solutions on \(\mathbb R^n\) or on bounded domains with small diffusion. (English) Zbl 1145.35369 Trans. Am. Math. Soc. 357, No. 3, 1225-1243 (2005). Reviewer: Messoud A. Efendiev (München) MSC: 35J60 35B25 35B35 35J25 47J30 58E05 PDF BibTeX XML Cite \textit{E. N. Dancer}, Trans. Am. Math. Soc. 357, No. 3, 1225--1243 (2005; Zbl 1145.35369) Full Text: DOI OpenURL
Aftalion, Amandine; Blanc, Xavier Existence of vortex-free solutions in the Painlevé boundary layer of a Bose-Einstein condensate. (English) Zbl 1081.82011 J. Math. Pures Appl. (9) 83, No. 6, 765-801 (2004). MSC: 82C10 35Q55 PDF BibTeX XML Cite \textit{A. Aftalion} and \textit{X. Blanc}, J. Math. Pures Appl. (9) 83, No. 6, 765--801 (2004; Zbl 1081.82011) Full Text: DOI OpenURL
Hai, D. D.; Shivaji, R. An existence result on positive solutions for a class of \(p\)-Laplacian systems. (English) Zbl 1330.35132 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 7, 1007-1010 (2004). MSC: 35J56 35J60 PDF BibTeX XML Cite \textit{D. D. Hai} and \textit{R. Shivaji}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 7, 1007--1010 (2004; Zbl 1330.35132) Full Text: DOI OpenURL
Li, Yanyan; Zhang, Lei Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations. (English) Zbl 1173.35477 J. Anal. Math. 90, 27-87 (2003). MSC: 35J60 35B33 35B40 35B45 PDF BibTeX XML Cite \textit{Y. Li} and \textit{L. Zhang}, J. Anal. Math. 90, 27--87 (2003; Zbl 1173.35477) Full Text: DOI OpenURL
Almeida, Luís; Damascelli, Lucio; Ge, Yuxin A few symmetry results for nonlinear elliptic PDE on noncompact manifolds. (English) Zbl 1029.35096 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 3, 313-342 (2002). MSC: 35J60 58J05 35J50 35Q35 58E05 PDF BibTeX XML Cite \textit{L. Almeida} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 19, No. 3, 313--342 (2002; Zbl 1029.35096) Full Text: DOI Numdam EuDML OpenURL
Kozlov, Vladimir On bounded solutions of the Emden-Fowler equation in a semi-cylinder. (English) Zbl 0994.35041 J. Differ. Equations 179, No. 2, 456-478 (2002). Reviewer: Z.G.Sheftel’ (Göttingen) MSC: 35J25 35J65 35B40 PDF BibTeX XML Cite \textit{V. Kozlov}, J. Differ. Equations 179, No. 2, 456--478 (2002; Zbl 0994.35041) Full Text: DOI OpenURL
Busca, Jérôme Existence results for Bellman equations and maximum principles in unbounded domains. (English) Zbl 0961.35021 Commun. Partial Differ. Equations 24, No. 11-12, 2023-242 (1999). Reviewer: Kamil Sabitov (Sterlitamak) MSC: 35B50 35J25 35B45 PDF BibTeX XML Cite \textit{J. Busca}, Commun. Partial Differ. Equations 24, No. 11--12, 2023--242 (1999; Zbl 0961.35021) Full Text: DOI OpenURL
Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis Further qualitative properties for elliptic equations in unbounded domains. (English) Zbl 1079.35513 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 25, No. 1-2, 69-94 (1997). MSC: 35J65 35B05 PDF BibTeX XML Cite \textit{H. Berestycki} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 25, No. 1--2, 69--94 (1997; Zbl 1079.35513) Full Text: Numdam EuDML OpenURL
Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. Inequalities for second-order elliptic equations with applications to unbounded domains. I. (English) Zbl 0860.35004 Duke Math. J. 81, No. 2, 467-494 (1996). Reviewer: V.Mustonen (Oulu) MSC: 35B05 35J65 35B40 PDF BibTeX XML Cite \textit{H. Berestycki} et al., Duke Math. J. 81, No. 2, 467--494 (1996; Zbl 0860.35004) Full Text: DOI OpenURL