| Critical exponents for semilinear equations of mixed elliptic‐hyperbolic and degenerate types D Lupo, KR Payne Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2003 | 73 | 2003 |
| On closed boundary value problems for equations of mixed elliptic‐hyperbolic type D Lupo, CS Morawetz, KR Payne Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2007 | 61 | 2007 |
| Nonexistence of nontrivial solutions for supercritical equations of mixed elliptic-hyperbolic type D Lupo, KR Payne, NI Popivanov Contributions to Nonlinear Analysis: A Tribute to DG de Figueiredo on the …, 2006 | 52 | 2006 |
| On the degenerate hyperbolic Goursat problem for linear and nonlinear equations of Tricomi type D Lupo, KR Payne, NI Popivanov Nonlinear Analysis: Theory, Methods & Applications 108, 29-56, 2014 | 42 | 2014 |
| Conservation laws for equations of mixed elliptic-hyperbolic and degenerate types D Lupo, KR Payne | 36 | 2005 |
| Expansion and further delineation of the SETD5 phenotype leading to global developmental delay, variable dysmorphic features, and reduced penetrance Z Powis, KD Farwell Hagman, C Mroske, K McWalter, JS Cohen, ... Clinical Genetics 93 (4), 752-761, 2018 | 29 | 2018 |
| Maximum principles for weak solutions of degenerate elliptic equations with a uniformly elliptic direction DD Monticelli, KR Payne Journal of Differential Equations 247 (7), 1993-2026, 2009 | 28 | 2009 |
| Interior regularity of the Dirichlet problem for the Tricomi equation KR Payne Journal of mathematical analysis and applications 199 (1), 271-292, 1996 | 26 | 1996 |
| Spectral bounds for Tricomi problems and application to semilinear existence and existence with uniqueness results D Lupo, KR Payne Journal of Differential Equations 184 (1), 139-162, 2002 | 25 | 2002 |
| On locally essentially bounded divergence measure fields and sets of locally finite perimeter GE Comi, KR Payne Advances in Calculus of Variations 13 (2), 179-217, 2020 | 24 | 2020 |
| Integral methods in science and engineering FR Payne CRC Press, 1986 | 23 | 1986 |
| On the maximum principle for generalized solutions to the Tricomi problem D Lupo, KR Payne Communications in Contemporary Mathematics 2 (04), 535-557, 2000 | 21 | 2000 |
| Smooth tame Fréchet algebras and Lie groups of pseudodifferential operators KR Payne Communications on Pure and Applied Mathematics 44 (3), 309-337, 1991 | 21 | 1991 |
| A dual variational approach to a class of nonlocal semilinear Tricomi problems D Lupo, KR Payne Nonlinear Differential Equations and Applications NoDEA 6, 247-266, 1999 | 19 | 1999 |
| The sonic line as a free boundary B Keyfitz, A Tesdall, K Payne, N Popivanov Quarterly of Applied Mathematics 71 (1), 119-133, 2013 | 18 | 2013 |
| Poincaré inequalities for Sobolev spaces with matrix-valued weights and applications to degenerate partial differential equations DD Monticelli, KR Payne, F Punzo Proceedings of the Royal Society of Edinburgh Section A: Mathematics 149 (1 …, 2019 | 15 | 2019 |
| On viscosity solutions to the Dirichlet problem for elliptic branches of inhomogeneous fully nonlinear equations M Cirant, KR Payne | 15 | 2017 |
| Singular metrics and associated conformal groups underlying differential operators of mixed and degenerate types KR Payne Annali di Matematica Pura ed Applicata 185 (4), 613-625, 2006 | 15 | 2006 |
| On the Dirichlet problem of mixed type for lower hybrid waves in axisymmetric cold plasmas D Lupo, DD Monticelli, KR Payne Archive for Rational Mechanics and Analysis 217 (1), 37-69, 2015 | 13 | 2015 |
| Spectral theory for linear operators of mixed type and applications to nonlinear Dirichlet problems D Lupo, DD Monticelli, KR Payne Communications in Partial Differential Equations 37 (9), 1495-1516, 2012 | 13 | 2012 |
