P. L. Lions
- Orbital stability of standing waves for some nonlinear Schr�dinger equations
1982/12/01 by T. Cazenave, Thierry Cazenave, Pierre‐Louis Lions +1 · 63 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
- Splitting Algorithms for the Sum of Two Nonlinear Operators
1979/12/01 by P. L. Lions, Pierre‐Louis Lions, Bertrand Mercier +1 · 123 citations
Computer Science · Mathematics · Engineering · #Optimization and Variational Analysis #Advanced Optimization Algorithms Research #Aerospace Engineering and Control Systems
- Nonlinear scalar field equations, I existence of a ground state
1983/12/01 by H. Berestycki, Henri Berestycki, P. -L. Lions +1 · 58 citations
Mathematics · Physics and Astronomy · #Gas Dynamics and Kinetic Theory #Advanced Mathematical Physics Problems #Cosmology and Gravitation Theories
- Global weak solutions of Vlasov‐Maxwell systems
1989/09/01 by R. J. Diperna, Ronald J. DiPerna, Pierre Louis Lions +1 · 13 citations
Mathematics · #Gas Dynamics and Kinetic Theory #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions
- Solutions of superlinear elliptic equations and their morse indices
1992/10/01 by A. Bahri, Abbas Bahri, P. L. Lions +1 · 10 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Numerical methods in inverse problems