Rabier, Patrick J. Fredholm and regularity theory of Douglis-Nirenberg elliptic systems on \({\mathbb{R}}^{N}\). (English) Zbl 1236.47043 Math. Z. 270, No. 1-2, 369-393 (2012). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 47F05 35J48 47A53 46E35 PDFBibTeX XMLCite \textit{P. J. Rabier}, Math. Z. 270, No. 1--2, 369--393 (2012; Zbl 1236.47043) Full Text: DOI
Metafune, Giorgio; Pallara, Diego; Rabier, Patrick J.; Schnaubelt, Roland Uniqueness for elliptic operators on \(L^p(\mathbb R^N)\) with unbounded coefficients. (English) Zbl 1193.35236 Forum Math. 22, No. 3, 583-601 (2010). MSC: 35R05 35K65 47F05 47B25 PDFBibTeX XMLCite \textit{G. Metafune} et al., Forum Math. 22, No. 3, 583--601 (2010; Zbl 1193.35236) Full Text: DOI
Rabier, Patrick J. A complement to the Fredholm theory of elliptic systems on bounded domains. (English) Zbl 1196.35080 Bound. Value Probl. 2009, Article ID 637243, 9 p. (2009). MSC: 35J48 35J47 47N20 58J05 47A53 35B30 PDFBibTeX XMLCite \textit{P. J. Rabier}, Bound. Value Probl. 2009, Article ID 637243, 9 p. (2009; Zbl 1196.35080) Full Text: DOI EuDML
Arendt, Wolfgang; Rabier, Patrick J. Linear evolution operators on spaces of periodic functions. (English) Zbl 1169.47034 Commun. Pure Appl. Anal. 8, No. 1, 5-36 (2009). Reviewer: Evgeniy Panov (Novgorod) MSC: 47F05 47A53 45M15 42A45 PDFBibTeX XMLCite \textit{W. Arendt} and \textit{P. J. Rabier}, Commun. Pure Appl. Anal. 8, No. 1, 5--36 (2009; Zbl 1169.47034) Full Text: DOI
Rabier, Patrick J. On the Fedosov-Hörmander formula for differential operators. (English) Zbl 1193.47020 Integral Equations Oper. Theory 62, No. 4, 555-574 (2008). Reviewer: Wolfram Bauer (Göttingen) MSC: 47A53 35J30 47G30 PDFBibTeX XMLCite \textit{P. J. Rabier}, Integral Equations Oper. Theory 62, No. 4, 555--574 (2008; Zbl 1193.47020) Full Text: DOI
Rabier, Patrick J. The Fredholm index of a second order elliptic system on an infinite cylinder. (English) Zbl 1180.35220 J. Evol. Equ. 8, No. 3, 391-422 (2008). Reviewer: Lutz Recke (Berlin) MSC: 35J57 47A53 47A10 46E35 PDFBibTeX XMLCite \textit{P. J. Rabier}, J. Evol. Equ. 8, No. 3, 391--422 (2008; Zbl 1180.35220) Full Text: DOI
Nečasová, Šárka; Rabier, Patrick J. On the time decay of the solutions of the Navier-Stokes system. (English) Zbl 1156.35330 J. Math. Fluid Mech. 9, No. 4, 517-532 (2007). Reviewer: Jesús Hernández (Madrid) MSC: 35B40 47A13 35Q30 37C75 35B65 35B45 47N20 PDFBibTeX XMLCite \textit{Š. Nečasová} and \textit{P. J. Rabier}, J. Math. Fluid Mech. 9, No. 4, 517--532 (2007; Zbl 1156.35330) Full Text: DOI
Rabier, Patrick J. On the index and spectrum of differential operators on \(\mathbb{R}^{N}\). (English) Zbl 1129.47034 Proc. Am. Math. Soc. 135, No. 12, 3875-3885 (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47F05 35J45 47A53 PDFBibTeX XMLCite \textit{P. J. Rabier}, Proc. Am. Math. Soc. 135, No. 12, 3875--3885 (2007; Zbl 1129.47034) Full Text: DOI
Rabier, Patrick J. Corrigendum to “Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs” [J. Differential Equations 193 (2003) 460-480]. (English) Zbl 1237.47048 J. Differ. Equations 237, No. 1, 257 (2007). MSC: 47F05 47D03 35B40 PDFBibTeX XMLCite \textit{P. J. Rabier}, J. Differ. Equations 237, No. 1, 257 (2007; Zbl 1237.47048) Full Text: DOI
Morris, Jason R.; Rabier, Patrick J. Riccati inequality and functional properties of differential operators on the half line. (English) Zbl 1104.34060 J. Differ. Equations 225, No. 2, 573-604 (2006). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L40 34B40 34A30 34A40 47A53 47E05 PDFBibTeX XMLCite \textit{J. R. Morris} and \textit{P. J. Rabier}, J. Differ. Equations 225, No. 2, 573--604 (2006; Zbl 1104.34060) Full Text: DOI
Rabier, Patrick J. Superlinear convolution equations in \(\mathbb R^{N}\). (English) Zbl 1122.47050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 10, 2279-2308 (2006). Reviewer: Maria Amelia Bastos (Lisboa) MSC: 47J05 47G10 47H11 35K65 35J60 47N20 PDFBibTeX XMLCite \textit{P. J. Rabier}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 10, 2279--2308 (2006; Zbl 1122.47050) Full Text: DOI
Rabier, Patrick J.; Salter, Mary F. A degree theory for compact perturbations of proper \(C^{1}\) Fredholm mappings of index \(0\). (English) Zbl 1117.47049 Abstr. Appl. Anal. 2005, No. 7, 707-731 (2005). Reviewer: Martin Väth (Würzburg) MSC: 47H11 47H14 46T20 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{M. F. Salter}, Abstr. Appl. Anal. 2005, No. 7, 707--731 (2005; Zbl 1117.47049) Full Text: DOI EuDML
Rabier, Patrick J.; Stuart, Charles A. Boundary value problems for first order systems on the half-line. (English) Zbl 1090.34014 Topol. Methods Nonlinear Anal. 25, No. 1, 101-133 (2005). Reviewer: Anna Capietto (Torino) MSC: 34B15 34A12 47A53 47H11 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{C. A. Stuart}, Topol. Methods Nonlinear Anal. 25, No. 1, 101--133 (2005; Zbl 1090.34014) Full Text: DOI
Rabier, Patrick J.; Stuart, Charles A. A Sobolev space approach to boundary value problems on the half-line. (English) Zbl 1087.34006 Commun. Contemp. Math. 7, No. 1, 1-36 (2005). Reviewer: Francesca Papalini (Ancona) MSC: 34B15 34A12 47A53 47H11 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{C. A. Stuart}, Commun. Contemp. Math. 7, No. 1, 1--36 (2005; Zbl 1087.34006) Full Text: DOI
Rabier, Patrick J. Elliptic problems on \(\mathbb R^N\) with unbounded coefficients in classical Sobolev spaces. (English) Zbl 1130.35031 Math. Z. 249, No. 1, 1-30 (2005). MSC: 35J15 35D05 35D10 47D06 47N20 PDFBibTeX XMLCite \textit{P. J. Rabier}, Math. Z. 249, No. 1, 1--30 (2005; Zbl 1130.35031) Full Text: DOI
Rabier, Patrick J. The Robbin–Salamon index theorem in Banach spaces with UMD. (English) Zbl 1090.47006 Dyn. Partial Differ. Equ. 1, No. 3, 303-337 (2004). Reviewer: Khalil Ezzinbi (Marrakech) MSC: 47A53 47D06 35K20 37K05 47N20 58J30 PDFBibTeX XMLCite \textit{P. J. Rabier}, Dyn. Partial Differ. Equ. 1, No. 3, 303--337 (2004; Zbl 1090.47006) Full Text: DOI
Rabier, Patrick Quasilinear elliptic equations on \(\mathbb R^N\) with infinitely many solutions. (English) Zbl 1071.35049 NoDEA, Nonlinear Differ. Equ. Appl. 11, No. 3, 311-333 (2004). Reviewer: Marco Biroli (Milano) MSC: 35J60 47H09 47H30 PDFBibTeX XMLCite \textit{P. Rabier}, NoDEA, Nonlinear Differ. Equ. Appl. 11, No. 3, 311--333 (2004; Zbl 1071.35049) Full Text: DOI
Rabier, Patrick J. Ascoli’s theorem for functions vanishing at infinity and selected applications. (English) Zbl 1047.46017 J. Math. Anal. Appl. 290, No. 1, 171-189 (2004). Reviewer: Leszek Skrzypczak (Poznań) MSC: 46B50 46E35 46E10 34B40 47H30 47N20 PDFBibTeX XMLCite \textit{P. J. Rabier}, J. Math. Anal. Appl. 290, No. 1, 171--189 (2004; Zbl 1047.46017) Full Text: DOI
Rabier, Patrick J. Asymptotic behavior of the solutions of linear and quasilinear elliptic equations on \(\mathbb{R} ^{N}\). (English) Zbl 1055.35078 Trans. Am. Math. Soc. 356, No. 5, 1889-1907 (2004). Reviewer: Gianfranco Bottaro (Genova) MSC: 35P05 47F05 35J60 PDFBibTeX XMLCite \textit{P. J. Rabier}, Trans. Am. Math. Soc. 356, No. 5, 1889--1907 (2004; Zbl 1055.35078) Full Text: DOI
Rabier, Patrick J. An isomorphism theorem for linear evolution problems on the line. (English) Zbl 1055.34109 J. Dyn. Differ. Equations 15, No. 4, 779-806 (2003). Reviewer: Daniel C. Biles (Bowling Green) MSC: 34G10 34A12 47N20 PDFBibTeX XMLCite \textit{P. J. Rabier}, J. Dyn. Differ. Equations 15, No. 4, 779--806 (2003; Zbl 1055.34109) Full Text: DOI
Rabier, Patrick J. Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs. (English) Zbl 1044.47035 J. Differ. Equations 193, No. 2, 460-480 (2003); corrigendum ibid. 237, No. 1, 257 (2007). Reviewer: Niels Jacob (Swansea) MSC: 47F05 47D03 35B40 PDFBibTeX XMLCite \textit{P. J. Rabier}, J. Differ. Equations 193, No. 2, 460--480 (2003; Zbl 1044.47035) Full Text: DOI
Rabier, Patrick J.; Stuart, Charles A. Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations. (English) Zbl 1034.35036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 3, 869-890 (2003). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J60 35B32 47A53 58E05 35J10 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{C. A. Stuart}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 3, 869--890 (2003; Zbl 1034.35036) Full Text: DOI
Rabier, Patrick J. Nonlinear Fredholm operators with concompact fibers and applications to elliptic problems on \(\mathbb{R}^N\). (English) Zbl 1010.47040 J. Funct. Anal. 187, No. 2, 343-367 (2001). Reviewer: Milan Kučera (Praha) MSC: 47J05 47N20 35J60 PDFBibTeX XMLCite \textit{P. J. Rabier}, J. Funct. Anal. 187, No. 2, 343--367 (2001; Zbl 1010.47040) Full Text: DOI
Rabier, Patrick J.; Stuart, Charles A. Fredholm and properness properties of quasilinear elliptic operators on \(\mathbb{R}^N\). (English) Zbl 0991.35021 Math. Nachr. 231, 129-168 (2001). Reviewer: Jacobo Pejsachowicz (Torino) MSC: 35J15 35J60 46N20 47F05 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{C. A. Stuart}, Math. Nachr. 231, 129--168 (2001; Zbl 0991.35021) Full Text: DOI
Rabier, P. J.; Stuart, C. A. Fredholm properties of Schrödinger operators in \(L^P(\mathbb{R}^N)\). (English) Zbl 0989.47036 Differ. Integral Equ. 13, No. 10-12, 1429-1444 (2000). MSC: 47F05 47A53 35Q40 35P05 35J10 PDFBibTeX XMLCite \textit{P. J. Rabier} and \textit{C. A. Stuart}, Differ. Integral Equ. 13, No. 10--12, 1429--1444 (2000; Zbl 0989.47036)
Pejsachowicz, Jacobo; Rabier, Patrick J. Degree theory for \(C^1\) Fredholm mappings of index 0. (English) Zbl 0932.47046 J. Anal. Math. 76, 289-319 (1998). Reviewer: Peter Haskell (Blacksburg) MSC: 47H11 58B15 58C25 PDFBibTeX XMLCite \textit{J. Pejsachowicz} and \textit{P. J. Rabier}, J. Anal. Math. 76, 289--319 (1998; Zbl 0932.47046) Full Text: DOI
Pejsachowicz, Jacobo; Rabier, Patrick J. A substitute for the Sard-Smale theorem in the \(C^1\) case. (English) Zbl 0924.58001 J. Anal. Math. 76, 265-288 (1998). Reviewer: Maria A.Ragusa (Catania) MSC: 58B15 47A53 47A63 46E25 PDFBibTeX XMLCite \textit{J. Pejsachowicz} and \textit{P. J. Rabier}, J. Anal. Math. 76, 265--288 (1998; Zbl 0924.58001) Full Text: DOI
Rabier, Patrick J. Symmetries, topological degree and a theorem of Z. Q. Wang. (English) Zbl 0819.47076 Rocky Mt. J. Math. 24, No. 3, 1087-1115 (1994). Reviewer: R.Srzednicki (Buffalo) MSC: 47H11 55M25 58D19 58C30 57S25 PDFBibTeX XMLCite \textit{P. J. Rabier}, Rocky Mt. J. Math. 24, No. 3, 1087--1115 (1994; Zbl 0819.47076) Full Text: DOI
Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. The degree of proper \(C^ 2\) Fredholm mappings: Covariant theory. (English) Zbl 0832.47047 Topol. Methods Nonlinear Anal. 3, No. 2, 325-367 (1994). Reviewer: R.Precup (Cluj-Napoca) MSC: 47H11 PDFBibTeX XMLCite \textit{P. M. Fitzpatrick} et al., Topol. Methods Nonlinear Anal. 3, No. 2, 325--367 (1994; Zbl 0832.47047) Full Text: DOI
Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings. (English) Zbl 0802.47056 J. Funct. Anal. 124, No. 1, 1-39 (1994). MSC: 47H11 47A53 58C30 PDFBibTeX XMLCite \textit{P. M. Fitzpatrick} et al., J. Funct. Anal. 124, No. 1, 1--39 (1994; Zbl 0802.47056) Full Text: DOI
Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. The degree of proper \(C^ 2\) Fredholm mappings. I. (English) Zbl 0745.47049 J. Reine Angew. Math. 427, 1-33 (1992). Reviewer: P.M.Fitzpatrick MSC: 47H11 PDFBibTeX XMLCite \textit{P. M. Fitzpatrick} et al., J. Reine Angew. Math. 427, 1--33 (1992; Zbl 0745.47049) Full Text: Crelle EuDML
Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. Topological degree for nonlinear Fredholm operators. (English. Abridged French version) Zbl 0721.47044 C. R. Acad. Sci., Paris, Sér. I 311, No. 11, 711-716 (1990). Reviewer: Chr.Fenske (Gießen) MSC: 47H11 58B15 47J05 PDFBibTeX XMLCite \textit{P. M. Fitzpatrick} et al., C. R. Acad. Sci., Paris, Sér. I 311, No. 11, 711--716 (1990; Zbl 0721.47044)
Rabier, Patrick J. New aspects in bifurcation with symmetry. (English) Zbl 0715.58007 Differ. Integral Equ. 3, No. 6, 1015-1034 (1990). MSC: 58E07 47J05 22E30 PDFBibTeX XMLCite \textit{P. J. Rabier}, Differ. Integral Equ. 3, No. 6, 1015--1034 (1990; Zbl 0715.58007)
Rabier, Patrick J. Generalized Jordan chains and two bifurcation theorems of Krasnosel’skij. (English) Zbl 0686.47047 Nonlinear Anal., Theory Methods Appl. 13, No. 8, 903-934 (1989). Reviewer: S.Tersian MSC: 47J05 PDFBibTeX XMLCite \textit{P. J. Rabier}, Nonlinear Anal., Theory Methods Appl. 13, No. 8, 903--934 (1989; Zbl 0686.47047) Full Text: DOI
Rabier, P. A general study of nonlinear problems with three solutions in Hilbert spaces. (English) Zbl 0604.47038 Arch. Ration. Mech. Anal. 94, 123-154 (1986). MSC: 47J05 PDFBibTeX XMLCite \textit{P. Rabier}, Arch. Ration. Mech. Anal. 94, 123--154 (1986; Zbl 0604.47038) Full Text: DOI
Rabier, Patrick J. Definition and properties of a particular notion of convexity. (English) Zbl 0583.49009 Numer. Funct. Anal. Optimization 7, 279-302 (1985). MSC: 49J45 26E15 47J05 PDFBibTeX XMLCite \textit{P. J. Rabier}, Numer. Funct. Anal. Optim. 7, 279--302 (1985; Zbl 0583.49009) Full Text: DOI
Rabier, P. Étude locale des problèmes non linéaires perturbes. (French) Zbl 0514.47041 J. Math. Pures Appl., IX. Sér. 61, 311-343 (1982). MSC: 47J05 PDFBibTeX XMLCite \textit{P. Rabier}, J. Math. Pures Appl. (9) 61, 311--343 (1982; Zbl 0514.47041)
Rabier, P. A notion of convexity applied to nonlinear problems. (English) Zbl 0446.47056 Nonlinear problems of analysis in geometry and mechanics, Proc. Symp., Toulouse 1979, Res. Notes Math. 46, 168-175 (1981). MSC: 47J05 PDFBibTeX XML
Rabier, Patrick Étude d’un type d’équation fonctionnelle non linéaire. (French) Zbl 0418.47043 C. R. Acad. Sci., Paris, Sér. A 289, 563-566 (1979). MSC: 47J05 PDFBibTeX XMLCite \textit{P. Rabier}, C. R. Acad. Sci., Paris, Sér. A 289, 563--566 (1979; Zbl 0418.47043)