Edit Profile (opens in new tab) Rabier, Patrick J. Co-Author Distance Author ID: rabier.patrick-j Published as: Rabier, Patrick J.; Rabier, Patrick; Rabier, P. J.; Rabier, P. more...less Documents Indexed: 122 Publications since 1977, including 6 Books Co-Authors: 24 Co-Authors with 56 Joint Publications 908 Co-Co-Authors all top 5 Co-Authors 65 single-authored 14 Rheinboldt, Werner C. 8 Stuart, Charles Alexander 6 Layton, William J. 6 Pejsachowicz, Jacobo 5 Maubach, Joseph M. L. 4 Fitzpatrick, Patrick Michael 3 Griewank, Andreas 2 Ciarlet, Philippe Gaston 2 Galdi, Giovanni Paolo 2 Morris, Jason R. 2 Oden, John Tinsley 1 Arendt, Wolfgang 1 Campos, L. T. 1 Hall, Charles Allan 1 Martins, João A. C. 1 Metafune, Giorgio 1 Navrotskaya, Irina 1 Nečasová, Šárka 1 Pallara, Diego 1 Reddien, George W. jun. 1 Salter, Mary F. 1 Savin, Ovidiu V. 1 Schnaubelt, Roland 1 Shankar, Shiva all top 5 Serials 5 Journal of Differential Equations 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Mathematical Analysis and Applications 4 Differential and Integral Equations 3 Archive for Rational Mechanics and Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal of Engineering Science 3 Journal d’Analyse Mathématique 3 Journal of Functional Analysis 3 Mathematische Zeitschrift 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Transactions of the American Mathematical Society 3 Applied Mathematics Letters 3 Journal of Convex Analysis 3 Journal of Mathematical Fluid Mechanics 2 Journal of the Mathematical Society of Japan 2 Numerische Mathematik 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Linear Algebra and its Applications 2 Topological Methods in Nonlinear Analysis 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Applicable Analysis 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Mathematics of Computation 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Indiana University Mathematics Journal 1 Integral Equations and Operator Theory 1 Journal of Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 RAIRO. Analyse Numérique 1 Ricerche di Matematica 1 Rendiconti del Seminario Matematico 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Scientific Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Numerical Linear Algebra with Applications 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Abstract and Applied Analysis 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis 1 Boundary Value Problems 1 Dynamics of Partial Differential Equations 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Lecture Notes in Mathematics 1 Advances in Nonlinear Analysis 1 Recherches en Mathématiques Appliquées all top 5 Fields 47 Partial differential equations (35-XX) 39 Operator theory (47-XX) 21 Functional analysis (46-XX) 20 Ordinary differential equations (34-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Numerical analysis (65-XX) 11 Real functions (26-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Algebraic topology (55-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 2 Algebraic geometry (14-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 993 times in 717 Documents Cited by ▼ Year ▼ Les equations de von Kármán. Zbl 0433.73019Ciarlet, Philippe G.; Rabier, Patrick 91 1980 A geometric treatment of implicit differential-algebraic equations. Zbl 0804.34004Rabier, Patrick J.; Rheinboldt, Werner C. 60 1994 Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds. Zbl 0919.58003Rabier, Patrick J. 56 1997 Theoretical and numerical analysis of differential-algebraic equations. Zbl 1007.65057Rabier, Patrick J.; Rheinboldt, Werner C. 55 2002 On impasse points of quasilinear differential-algebraic equations. Zbl 0803.34004Rabier, Patrick J.; Rheinboldt, Werner C. 41 1994 Degree theory for \(C^1\) Fredholm mappings of index 0. Zbl 0932.47046Pejsachowicz, Jacobo; Rabier, Patrick J. 41 1998 On the smoothness of convex envelopes. Zbl 0712.49010Griewank, A.; Rabier, P. J. 38 1990 Implicit differential equations near a singular point. Zbl 0683.34017Rabier, Patrick J. 28 1989 Nonholonomic motion of rigid mechanical systems from a DAE viewpoint. Zbl 0942.70001Rabier, Patrick J.; Rheinboldt, Werner C. 27 1999 A general existence and uniqueness theory for implicit differential- algebraic equations. Zbl 0722.34004Rabier, Patrick J.; Rheinboldt, Werner C. 25 1991 The degree of proper \(C^ 2\) Fredholm mappings. I. Zbl 0745.47049Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. 24 1992 On the computation of impasse points of quasi-linear differential- algebraic equations. Zbl 0793.65050Rabier, Patrick J.; Rheinboldt, Werner C. 23 1994 Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings. Zbl 0802.47056Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. 22 1994 Generalized Jordan chains and two bifurcation theorems of Krasnosel’skij. Zbl 0686.47047Rabier, Patrick J. 20 1989 Characterization and computation of singular points with maximum rank deficiency. Zbl 0627.65057Rabier, P. J.; Reddien, G. W. 19 1986 Classical and generalized solutions of time-dependent linear differential-algebraic equations. Zbl 0857.34005Rabier, Patrick J.; Rheinboldt, Werner C. 19 1996 Fredholm and properness properties of quasilinear elliptic operators on \(\mathbb{R}^N\). Zbl 0991.35021Rabier, Patrick J.; Stuart, Charles A. 18 2001 Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws. Zbl 0601.73113Rabier, P.; Martins, J. A. C.; Oden, J. T.; Campos, L. 17 1986 Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities. Zbl 0965.35046Rabier, Patrick J.; Stuart, Charles A. 17 2000 Bifurcation in rotating bodies. Zbl 0687.73021Rabier, Patrick J.; Oden, J. Tinsley 13 1989 Finite difference methods for time dependent, linear differential algebraic equations. Zbl 0792.65048Rabier, P. J.; Rheinboldt, W. C. 12 1994 Asymptotic behavior of the solutions of linear and quasilinear elliptic equations on \(\mathbb{R} ^{N}\). Zbl 1055.35078Rabier, Patrick J. 12 2004 Global bifurcation for quasilinear elliptic equations on \({\mathbb R}^N\). Zbl 1018.35033Rabier, P. J.; Stuart, C. A. 11 2001 On global diffeomorphisms of Euclidean space. Zbl 0807.57017Rabier, Patrick J. 11 1993 On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0699.65037Rabier, Patrick J.; Rheinboldt, Werner C. 10 1990 Elliptic problems on \(\mathbb R^N\) with unbounded coefficients in classical Sobolev spaces. Zbl 1130.35031Rabier, Patrick J. 10 2005 A Sobolev space approach to boundary value problems on the half-line. Zbl 1087.34006Rabier, Patrick J.; Stuart, Charles A. 9 2005 Embeddings of weighted Sobolev spaces and generalized Caffarelli-Kohn-Nirenberg inequalities. Zbl 1319.46028Rabier, Patrick J. 8 2012 Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs. Zbl 1044.47035Rabier, Patrick J. 8 2003 Generic aspects of convexification with applications to thermodynamic equilibrium. Zbl 0785.58013Rabier, P. J.; Griewank, A. 7 1992 Peaceman-Rachford procedure and domain decomposition for finite element problems. Zbl 0834.65116Layton, William J.; Rabier, Patrick J. 7 1995 Time-dependent linear DAEs with discontinuous inputs. Zbl 0864.65044Rabier, Patrick J.; Rheinboldt, Werner C. 7 1996 The Robbin–Salamon index theorem in Banach spaces with UMD. Zbl 1090.47006Rabier, Patrick J. 7 2004 Robustness of an elementwise parallel finite element method for convection-diffusion problems. Zbl 0916.65107Layton, W. J.; Maubach, J. M.; Rabier, P. J. 7 1998 On the numerical solution of the Euler-Lagrange equations. Zbl 0818.65064Rabier, Patrick J.; Rheinboldt, Werner C. 7 1995 Invertibility of the Poiseuille linearization for stationary two-dimensional channel flows: Nonsymmetric case. Zbl 1029.76012Rabier, Patrick J. 7 2002 Invertibility of the Poiseuille linearization for stationary two-dimensional channel flows: Symmetric case. Zbl 1029.76011Rabier, Patrick J. 7 2002 Uniqueness for elliptic operators on \(L^p(\mathbb R^N)\) with unbounded coefficients. Zbl 1193.35236Metafune, Giorgio; Pallara, Diego; Rabier, Patrick J.; Schnaubelt, Roland 7 2010 Boundary value problems for first order systems on the half-line. Zbl 1090.34014Rabier, Patrick J.; Stuart, Charles A. 7 2005 Symmetries, topological degree and a theorem of Z. Q. Wang. Zbl 0819.47076Rabier, Patrick J. 6 1994 Steffensen’s inequality and \(L^{1}-L^{\infty }\) estimates of weighted integrals. Zbl 1242.26033Rabier, Patrick J. 6 2012 A degree theory for compact perturbations of proper \(C^{1}\) Fredholm mappings of index \(0\). Zbl 1117.47049Rabier, Patrick J.; Salter, Mary F. 6 2005 Bounded Palais-Smale sequences for functionals with a mountain pass geometry. Zbl 1112.58012Rabier, Patrick J. 6 2007 Fredholm properties of Schrödinger operators in \(L^P(\mathbb{R}^N)\). Zbl 0989.47036Rabier, P. J.; Stuart, C. A. 6 2000 On the index and spectrum of differential operators on \(\mathbb{R}^{N}\). Zbl 1129.47034Rabier, Patrick J. 6 2007 Some remarks on damage theory. Zbl 0666.73066Rabier, P. J. 5 1989 The element separation property and parallel finite element methods for the Navier-Stokes equation. Zbl 0827.76043Layton, W.; Rabier, P. 5 1995 Discontinuous solutions of semilinear differential-algebraic equations. I: Distribution solutions. Zbl 0865.34003Rabier, Patrick J.; Rheinboldt, Werner C. 5 1996 Functional properties of the Navier-Stokes operator and bifurcation of stationary solutions: Planar exterior domains. Zbl 0922.35122Galdi, Giovanni P.; Rabier, Patrick 5 1999 Definition and properties of a particular notion of convexity. Zbl 0583.49009Rabier, Patrick J. 5 1985 Fixed points of multi-valued maps and static Coulomb friction problems. Zbl 0971.74057Rabier, Patrick J.; Savin, Ovidiu V. 5 2000 Sharp existence results for the stationary Navier-Stokes problem in three-dimensional exterior domains. Zbl 0965.35111Galdi, Giovanni P.; Rabier, Patrick J. 5 2000 Parallel algorithms for maximal monotone operators of local type. Zbl 0837.65126Layton, William J.; Maubach, Joseph M.; Rabier, Patrick J. 4 1995 On components of polynomial automorphisms in two variables. Zbl 0856.14003Rabier, Patrick J. 4 1996 The degree of proper \(C^ 2\) Fredholm mappings: Covariant theory. Zbl 0832.47047Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. 4 1994 Fredholm and regularity theory of Douglis-Nirenberg elliptic systems on \({\mathbb{R}}^{N}\). Zbl 1236.47043Rabier, Patrick J. 4 2012 Résultats d’existence dans des modeles non linéaires de plaques. Zbl 0416.73050Rabier, Patrick 4 1979 On the Malgrange condition for complex polynomials of two variables. Zbl 1031.32004Rabier, Patrick J. 4 2002 Bifurcation in weighted Sobolev spaces. Zbl 1144.35336Rabier, Patrick J. 4 2008 An isomorphism theorem for linear evolution problems on the line. Zbl 1055.34109Rabier, Patrick J. 4 2003 On the Ekeland-Ghoussoub-Preiss and Stuart criteria for locating Cerami sequences. Zbl 1303.58003Rabier, Patrick J. 3 2012 New existence results for some nonconvex optimization problems. Zbl 0681.49005Rabier, Patrick J. 3 1989 Global surjectivity of submersions via contractibility of the fibres. Zbl 0849.58005Rabier, Patrick J. 3 1995 Quasiconvexity and density topology. Zbl 1293.26017Rabier, Patrick J. 3 2014 Differentiability of quasiconvex functions on separable Banach spaces. Zbl 1331.46032Rabier, Patrick J. 3 2015 The Hopf bifurcation theorem for quasilinear differential-algebraic equations. Zbl 1063.34500Rabier, Patrick J. 3 1999 Topological degree and the theorem of Borsuk for general covariant mappings with applications. Zbl 0724.58015Rabier, Patrick J. 3 1991 On the Fedosov-Hörmander formula for differential operators. Zbl 1193.47020Rabier, Patrick J. 3 2008 Vector-valued Morrey’s embedding theorem and Hölder continuity in parabolic problems. Zbl 1217.46020Rabier, Patrick J. 3 2011 Ascoli’s theorem for functions vanishing at infinity and selected applications. Zbl 1047.46017Rabier, Patrick J. 3 2004 Domain decomposition via operator splitting for nonsymmetric problems. Zbl 0743.65089Layton, William J.; Rabier, Patrick J. 2 1992 Nonlinear Fredholm operators with concompact fibers and applications to elliptic problems on \(\mathbb{R}^N\). Zbl 1010.47040Rabier, Patrick J. 2 2001 Critical points of mixed fluids and their numerical treatment. Zbl 0635.76099Griewank, A.; Rabier, P. 2 1987 On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0679.65034Rabier, Patrick J.; Rheinboldt, Werner C. 2 1990 Discontinuous solutions of semilinear differential-algebraic equations. II: \({\mathcal P}\)-consistency. Zbl 0863.34001Rabier, Patrick J.; Rheinboldt, Werner C. 2 1996 A substitute for the Sard-Smale theorem in the \(C^1\) case. Zbl 0924.58001Pejsachowicz, Jacobo; Rabier, Patrick J. 2 1998 Points of continuity of quasiconvex functions on topological vector spaces. Zbl 1278.26017Rabier, Patrick J. 2 2013 Lectures on topics in one-parameter bifurcation problems. Zbl 0594.58021Rabier, P. 2 1985 A general study of nonlinear problems with three solutions in Hilbert spaces. Zbl 0604.47038Rabier, P. 2 1986 Special embeddings of weighted Sobolev spaces with nontrivial power weights. Zbl 1288.46027Rabier, Patrick J. 2 2013 \(L \log L\) and finite entropy. Zbl 1290.46024Navrotskaya, Irina; Rabier, Patrick J. 2 2013 Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations. Zbl 1034.35036Rabier, Patrick J.; Stuart, Charles A. 2 2003 Intrinsic isotropy subgroups of finite groups. Zbl 0796.58036Rabier, Patrick J. 1 1993 A synthetic study of one-parameter nonlinear problems. Zbl 0627.58016Rabier, Patrick 1 1987 A generalization of the implicit function theorem for mappings from \({\mathcal R}^{n+1}\) into \({\mathcal R}^ n\) and its applications. Zbl 0534.58007Rabier, Patrick 1 1984 Interpolation harmonique. Zbl 0364.41001Rabier, Patrick 1 1977 Boundary-hybrid finite elements and a posteriori error estimation. Zbl 0936.65133Maubach, Joseph M.; Rabier, Patrick J. 1 1998 Quasilinear elliptic equations on \(\mathbb R^N\) with infinitely many solutions. Zbl 1071.35049Rabier, Patrick 1 2004 Exercices d’analyse numérique des équations aux dérivées partielles. Zbl 0576.65090Rabier, P.; Thomas, J.-M. 1 1985 On the number of \(C^ 1\) quasi-steady-states of singularly perturbed systems near a singular point. Zbl 0582.34071Rabier, Patrick J.; Shankar, Shiva 1 1987 Étude d’un type d’équation fonctionnelle non linéaire. Zbl 0418.47043Rabier, Patrick 1 1979 A notion of convexity applied to nonlinear problems. Zbl 0446.47056Rabier, P. 1 1981 Robust methods for highly nonsymmetric problems. Zbl 0817.65116Layton, W.; Maubach, J.; Rabier, P. 1 1994 Riccati inequality and functional properties of differential operators on the half line. Zbl 1104.34060Morris, Jason R.; Rabier, Patrick J. 1 2006 New aspects in bifurcation with symmetry. Zbl 0715.58007Rabier, Patrick J. 1 1990 Topological degree for nonlinear Fredholm operators. Zbl 0721.47044Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. 1 1990 Linear evolution operators on spaces of periodic functions. Zbl 1169.47034Arendt, Wolfgang; Rabier, Patrick J. 1 2009 A complement to the Fredholm theory of elliptic systems on bounded domains. Zbl 1196.35080Rabier, Patrick J. 1 2009 The Fredholm index of a second order elliptic system on an infinite cylinder. Zbl 1180.35220Rabier, Patrick J. 1 2008 Uniformly local spaces and refinements of the classical Sobolev embedding theorems. Zbl 1414.46026Rabier, Patrick J. 1 2018 Uniformly local spaces and refinements of the classical Sobolev embedding theorems. Zbl 1414.46026Rabier, Patrick J. 1 2018 \(L^{p}\) measure of growth and higher order Hardy-Sobolev-Morrey inequalities on \(\mathbb{R}^{N}\). Zbl 1372.46030Rabier, Patrick J. 1 2017 Differentiability of quasiconvex functions on separable Banach spaces. Zbl 1331.46032Rabier, Patrick J. 3 2015 Quasiconvexity and density topology. Zbl 1293.26017Rabier, Patrick J. 3 2014 Points of continuity of quasiconvex functions on topological vector spaces. Zbl 1278.26017Rabier, Patrick J. 2 2013 Special embeddings of weighted Sobolev spaces with nontrivial power weights. Zbl 1288.46027Rabier, Patrick J. 2 2013 \(L \log L\) and finite entropy. Zbl 1290.46024Navrotskaya, Irina; Rabier, Patrick J. 2 2013 Embeddings of weighted Sobolev spaces and generalized Caffarelli-Kohn-Nirenberg inequalities. Zbl 1319.46028Rabier, Patrick J. 8 2012 Steffensen’s inequality and \(L^{1}-L^{\infty }\) estimates of weighted integrals. Zbl 1242.26033Rabier, Patrick J. 6 2012 Fredholm and regularity theory of Douglis-Nirenberg elliptic systems on \({\mathbb{R}}^{N}\). Zbl 1236.47043Rabier, Patrick J. 4 2012 On the Ekeland-Ghoussoub-Preiss and Stuart criteria for locating Cerami sequences. Zbl 1303.58003Rabier, Patrick J. 3 2012 Vector-valued Morrey’s embedding theorem and Hölder continuity in parabolic problems. Zbl 1217.46020Rabier, Patrick J. 3 2011 Uniqueness for elliptic operators on \(L^p(\mathbb R^N)\) with unbounded coefficients. Zbl 1193.35236Metafune, Giorgio; Pallara, Diego; Rabier, Patrick J.; Schnaubelt, Roland 7 2010 Linear evolution operators on spaces of periodic functions. Zbl 1169.47034Arendt, Wolfgang; Rabier, Patrick J. 1 2009 A complement to the Fredholm theory of elliptic systems on bounded domains. Zbl 1196.35080Rabier, Patrick J. 1 2009 Bifurcation in weighted Sobolev spaces. Zbl 1144.35336Rabier, Patrick J. 4 2008 On the Fedosov-Hörmander formula for differential operators. Zbl 1193.47020Rabier, Patrick J. 3 2008 The Fredholm index of a second order elliptic system on an infinite cylinder. Zbl 1180.35220Rabier, Patrick J. 1 2008 Decay transference and Fredholmness of differential operators in weighted Sobolev spaces. Zbl 1224.35137Rabier, Patrick J. 1 2008 Bounded Palais-Smale sequences for functionals with a mountain pass geometry. Zbl 1112.58012Rabier, Patrick J. 6 2007 On the index and spectrum of differential operators on \(\mathbb{R}^{N}\). Zbl 1129.47034Rabier, Patrick J. 6 2007 On the time decay of the solutions of the Navier-Stokes system. Zbl 1156.35330Nečasová, Šárka; Rabier, Patrick J. 1 2007 Riccati inequality and functional properties of differential operators on the half line. Zbl 1104.34060Morris, Jason R.; Rabier, Patrick J. 1 2006 Elliptic problems on \(\mathbb R^N\) with unbounded coefficients in classical Sobolev spaces. Zbl 1130.35031Rabier, Patrick J. 10 2005 A Sobolev space approach to boundary value problems on the half-line. Zbl 1087.34006Rabier, Patrick J.; Stuart, Charles A. 9 2005 Boundary value problems for first order systems on the half-line. Zbl 1090.34014Rabier, Patrick J.; Stuart, Charles A. 7 2005 A degree theory for compact perturbations of proper \(C^{1}\) Fredholm mappings of index \(0\). Zbl 1117.47049Rabier, Patrick J.; Salter, Mary F. 6 2005 Asymptotic behavior of the solutions of linear and quasilinear elliptic equations on \(\mathbb{R} ^{N}\). Zbl 1055.35078Rabier, Patrick J. 12 2004 The Robbin–Salamon index theorem in Banach spaces with UMD. Zbl 1090.47006Rabier, Patrick J. 7 2004 Ascoli’s theorem for functions vanishing at infinity and selected applications. Zbl 1047.46017Rabier, Patrick J. 3 2004 Quasilinear elliptic equations on \(\mathbb R^N\) with infinitely many solutions. Zbl 1071.35049Rabier, Patrick 1 2004 Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs. Zbl 1044.47035Rabier, Patrick J. 8 2003 An isomorphism theorem for linear evolution problems on the line. Zbl 1055.34109Rabier, Patrick J. 4 2003 Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations. Zbl 1034.35036Rabier, Patrick J.; Stuart, Charles A. 2 2003 Theoretical and numerical analysis of differential-algebraic equations. Zbl 1007.65057Rabier, Patrick J.; Rheinboldt, Werner C. 55 2002 Invertibility of the Poiseuille linearization for stationary two-dimensional channel flows: Nonsymmetric case. Zbl 1029.76012Rabier, Patrick J. 7 2002 Invertibility of the Poiseuille linearization for stationary two-dimensional channel flows: Symmetric case. Zbl 1029.76011Rabier, Patrick J. 7 2002 On the Malgrange condition for complex polynomials of two variables. Zbl 1031.32004Rabier, Patrick J. 4 2002 Fredholm and properness properties of quasilinear elliptic operators on \(\mathbb{R}^N\). Zbl 0991.35021Rabier, Patrick J.; Stuart, Charles A. 18 2001 Global bifurcation for quasilinear elliptic equations on \({\mathbb R}^N\). Zbl 1018.35033Rabier, P. J.; Stuart, C. A. 11 2001 Nonlinear Fredholm operators with concompact fibers and applications to elliptic problems on \(\mathbb{R}^N\). Zbl 1010.47040Rabier, Patrick J. 2 2001 Exponential decay of the solutions of quasilinear second-order equations and Pohozaev identities. Zbl 0965.35046Rabier, Patrick J.; Stuart, Charles A. 17 2000 Fredholm properties of Schrödinger operators in \(L^P(\mathbb{R}^N)\). Zbl 0989.47036Rabier, P. J.; Stuart, C. A. 6 2000 Fixed points of multi-valued maps and static Coulomb friction problems. Zbl 0971.74057Rabier, Patrick J.; Savin, Ovidiu V. 5 2000 Sharp existence results for the stationary Navier-Stokes problem in three-dimensional exterior domains. Zbl 0965.35111Galdi, Giovanni P.; Rabier, Patrick J. 5 2000 Nonholonomic motion of rigid mechanical systems from a DAE viewpoint. Zbl 0942.70001Rabier, Patrick J.; Rheinboldt, Werner C. 27 1999 Functional properties of the Navier-Stokes operator and bifurcation of stationary solutions: Planar exterior domains. Zbl 0922.35122Galdi, Giovanni P.; Rabier, Patrick 5 1999 The Hopf bifurcation theorem for quasilinear differential-algebraic equations. Zbl 1063.34500Rabier, Patrick J. 3 1999 Degree theory for \(C^1\) Fredholm mappings of index 0. Zbl 0932.47046Pejsachowicz, Jacobo; Rabier, Patrick J. 41 1998 Robustness of an elementwise parallel finite element method for convection-diffusion problems. Zbl 0916.65107Layton, W. J.; Maubach, J. M.; Rabier, P. J. 7 1998 A substitute for the Sard-Smale theorem in the \(C^1\) case. Zbl 0924.58001Pejsachowicz, Jacobo; Rabier, Patrick J. 2 1998 Boundary-hybrid finite elements and a posteriori error estimation. Zbl 0936.65133Maubach, Joseph M.; Rabier, Patrick J. 1 1998 Ehresmann fibrations and Palais-Smale conditions for morphisms of Finsler manifolds. Zbl 0919.58003Rabier, Patrick J. 56 1997 Classical and generalized solutions of time-dependent linear differential-algebraic equations. Zbl 0857.34005Rabier, Patrick J.; Rheinboldt, Werner C. 19 1996 Time-dependent linear DAEs with discontinuous inputs. Zbl 0864.65044Rabier, Patrick J.; Rheinboldt, Werner C. 7 1996 Discontinuous solutions of semilinear differential-algebraic equations. I: Distribution solutions. Zbl 0865.34003Rabier, Patrick J.; Rheinboldt, Werner C. 5 1996 On components of polynomial automorphisms in two variables. Zbl 0856.14003Rabier, Patrick J. 4 1996 Discontinuous solutions of semilinear differential-algebraic equations. II: \({\mathcal P}\)-consistency. Zbl 0863.34001Rabier, Patrick J.; Rheinboldt, Werner C. 2 1996 Peaceman-Rachford procedure and domain decomposition for finite element problems. Zbl 0834.65116Layton, William J.; Rabier, Patrick J. 7 1995 On the numerical solution of the Euler-Lagrange equations. Zbl 0818.65064Rabier, Patrick J.; Rheinboldt, Werner C. 7 1995 The element separation property and parallel finite element methods for the Navier-Stokes equation. Zbl 0827.76043Layton, W.; Rabier, P. 5 1995 Parallel algorithms for maximal monotone operators of local type. Zbl 0837.65126Layton, William J.; Maubach, Joseph M.; Rabier, Patrick J. 4 1995 Global surjectivity of submersions via contractibility of the fibres. Zbl 0849.58005Rabier, Patrick J. 3 1995 A geometric treatment of implicit differential-algebraic equations. Zbl 0804.34004Rabier, Patrick J.; Rheinboldt, Werner C. 60 1994 On impasse points of quasilinear differential-algebraic equations. Zbl 0803.34004Rabier, Patrick J.; Rheinboldt, Werner C. 41 1994 On the computation of impasse points of quasi-linear differential- algebraic equations. Zbl 0793.65050Rabier, Patrick J.; Rheinboldt, Werner C. 23 1994 Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings. Zbl 0802.47056Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. 22 1994 Finite difference methods for time dependent, linear differential algebraic equations. Zbl 0792.65048Rabier, P. J.; Rheinboldt, W. C. 12 1994 Symmetries, topological degree and a theorem of Z. Q. Wang. Zbl 0819.47076Rabier, Patrick J. 6 1994 The degree of proper \(C^ 2\) Fredholm mappings: Covariant theory. Zbl 0832.47047Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. 4 1994 Robust methods for highly nonsymmetric problems. Zbl 0817.65116Layton, W.; Maubach, J.; Rabier, P. 1 1994 On global diffeomorphisms of Euclidean space. Zbl 0807.57017Rabier, Patrick J. 11 1993 Intrinsic isotropy subgroups of finite groups. Zbl 0796.58036Rabier, Patrick J. 1 1993 The degree of proper \(C^ 2\) Fredholm mappings. I. Zbl 0745.47049Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. 24 1992 Generic aspects of convexification with applications to thermodynamic equilibrium. Zbl 0785.58013Rabier, P. J.; Griewank, A. 7 1992 Domain decomposition via operator splitting for nonsymmetric problems. Zbl 0743.65089Layton, William J.; Rabier, Patrick J. 2 1992 A general existence and uniqueness theory for implicit differential- algebraic equations. Zbl 0722.34004Rabier, Patrick J.; Rheinboldt, Werner C. 25 1991 Topological degree and the theorem of Borsuk for general covariant mappings with applications. Zbl 0724.58015Rabier, Patrick J. 3 1991 On the smoothness of convex envelopes. Zbl 0712.49010Griewank, A.; Rabier, P. J. 38 1990 On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0699.65037Rabier, Patrick J.; Rheinboldt, Werner C. 10 1990 On a computational method for the second fundamental tensor and its application to bifurcation problems. Zbl 0679.65034Rabier, Patrick J.; Rheinboldt, Werner C. 2 1990 New aspects in bifurcation with symmetry. Zbl 0715.58007Rabier, Patrick J. 1 1990 Topological degree for nonlinear Fredholm operators. Zbl 0721.47044Fitzpatrick, Patrick M.; Pejsachowicz, Jacobo; Rabier, Patrick J. 1 1990 Implicit differential equations near a singular point. Zbl 0683.34017Rabier, Patrick J. 28 1989 Generalized Jordan chains and two bifurcation theorems of Krasnosel’skij. Zbl 0686.47047Rabier, Patrick J. 20 1989 Bifurcation in rotating bodies. Zbl 0687.73021Rabier, Patrick J.; Oden, J. Tinsley 13 1989 Some remarks on damage theory. Zbl 0666.73066Rabier, P. J. 5 1989 New existence results for some nonconvex optimization problems. Zbl 0681.49005Rabier, Patrick J. 3 1989 Critical points of mixed fluids and their numerical treatment. Zbl 0635.76099Griewank, A.; Rabier, P. 2 1987 A synthetic study of one-parameter nonlinear problems. Zbl 0627.58016Rabier, Patrick 1 1987 On the number of \(C^ 1\) quasi-steady-states of singularly perturbed systems near a singular point. Zbl 0582.34071Rabier, Patrick J.; Shankar, Shiva 1 1987 Characterization and computation of singular points with maximum rank deficiency. Zbl 0627.65057Rabier, P. J.; Reddien, G. W. 19 1986 Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws. Zbl 0601.73113Rabier, P.; Martins, J. A. C.; Oden, J. T.; Campos, L. 17 1986 A general study of nonlinear problems with three solutions in Hilbert spaces. Zbl 0604.47038Rabier, P. 2 1986 Definition and properties of a particular notion of convexity. Zbl 0583.49009Rabier, Patrick J. 5 1985 Lectures on topics in one-parameter bifurcation problems. Zbl 0594.58021Rabier, P. 2 1985 Exercices d’analyse numérique des équations aux dérivées partielles. Zbl 0576.65090Rabier, P.; Thomas, J.-M. 1 1985 A generalization of the implicit function theorem for mappings from \({\mathcal R}^{n+1}\) into \({\mathcal R}^ n\) and its applications. Zbl 0534.58007Rabier, Patrick 1 1984 A notion of convexity applied to nonlinear problems. Zbl 0446.47056Rabier, P. 1 1981 Les equations de von Kármán. Zbl 0433.73019Ciarlet, Philippe G.; Rabier, Patrick 91 1980 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 831 Authors 43 Rabier, Patrick J. 23 Riaza, Ricardo 12 Rheinboldt, Werner C. 12 Stuart, Charles Alexander 11 Ciarlet, Philippe Gaston 10 März, Roswitha 10 Pejsachowicz, Jacobo 9 Lasiecka, Irena 9 Mehrmann, Volker 9 Webster, Justin T. 8 Campbell, Stephen LaVern 8 Jaramillo, Jesús Angel 8 Portaluri, Alessandro 8 Seiler, Werner M. 7 Bock, Igor 7 Fečkan, Michal 7 Muradova, Aliki D. 7 Trenn, Stephan 7 Vougalter, Vitali 6 Battelli, Flaviano 6 Cappiello, Marco 6 Dias, Luis Renato Gonçalves 6 Efendiev, Messoud 6 Gramchev, Todor V. 6 Gutú, Olivia 6 Rodino, Luigi 6 Spodzieja, Stanisław 5 Benevieri, Pierluigi 5 Eriksson, Anders B. 5 Fahad, Asfand 5 Griewank, Andreas 5 Layton, William J. 5 López-Gómez, Julián 5 Pečarić, Josip 5 Phạm Tiên So’n 5 Rodak, Tomasz 5 Stavroulakis, Georgios E. 5 Volpert, Vitaly A. 5 Wang, Yun 5 Xie, Chunjing 4 Barton, Paul I. 4 Caboussat, Alexandre 4 Chen, Yahao 4 Chueshov, Igor’ Dmitrievich 4 Da Silva, Paulo Ricardo 4 Fura, Justyna 4 Furi, Massimo 4 Galdi, Giovanni Paolo 4 Gratie, Liliana 4 Linh, Vu Hoang 4 Piccione, Paolo 4 Rybicki, Sławomir Maciej 4 Sampedro, Juan Carlos 4 Sánchez-González, Luis 4 Schnaubelt, Roland 4 Stechlinski, Peter G. 4 Wang, Qi 4 White, Luther W. 3 Attili, Basem S. 3 Azagra, Daniel 3 Beardmore, Robert Eric 3 Betsch, Peter 3 Cocou, Marius 3 D’Alfonso, Lisi 3 Ding, Yanheng 3 Dinh, Si Tiep 3 Faierman, Melvin 3 Fitzpatrick, Patrick Michael 3 Gesztesy, Fritz 3 Geymonat, Giuseppe 3 Goeleven, Daniel 3 Gràcia, Xavier 3 Griso, Georges 3 Hà Huy Vui 3 Heikkilä, Seppo V. 3 Hu, Xijun 3 Ikoma, Norihisa 3 Jeronimo, Gabriela 3 Jiménez-Sevilla, Mar 3 Kong, Fanze 3 Kunkel, Peter 3 Lamour, René 3 Li, Shanbing 3 Li, Zhe 3 Lorenzi, Luca 3 Madiedo, Óscar 3 Marszałek, Wiesław 3 Maubach, Joseph M. L. 3 Mudarra, Carlos 3 Oară, Cristian 3 Oden, John Tinsley 3 Pacoste, Costin 3 Pera, Maria Patrizia 3 Peralta-Salas, Daniel 3 Reis, Timo 3 Shi, Junping 3 Simeon, Bernd 3 Sobajima, Motohiro 3 Solernó, Pablo 3 Sukochev, Fedor Anatol’evich ...and 731 more Authors all top 5 Cited in 239 Serials 32 Journal of Differential Equations 29 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Journal of Mathematical Analysis and Applications 20 Computer Methods in Applied Mechanics and Engineering 18 Nonlinear Analysis. 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