# Nonlinear Partial Differential Equations

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/nonlinear-partial-differential-equations/

## Facts

| Field | Value |
| --- | --- |
| Citations | 663,179 |
| Description | This cluster of papers focuses on the theory of fractional Laplacian operators, including topics such as Sobolev spaces, nonlinear equations, regularity theory, variational problems, critical exponents, ground state solutions, elliptic equations, nonlocal operators, and Hamiltonian estimates. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T10194 |
| Works | 63,060 |

## Topic papers all

- [Infinitely many solutions for a gauged nonlinear Schrödinger equation](https://scholariq.org/papers/infinitely-many-solutions-for-a-gauged-nonlinear-schrodinger-equation/)

## Topic researchers

Showing 12 of 20.

- [George Em Karniadakis](https://scholariq.org/researchers/george-em-karniadakis/)
- [Élliott H. Lieb](https://scholariq.org/researchers/elliott-h-lieb/)
- [R. T. Rockafellar](https://scholariq.org/researchers/r-t-rockafellar/)
- [Barry Simon](https://scholariq.org/researchers/barry-simon/)
- [Andrew J. Majda](https://scholariq.org/researchers/andrew-j-majda/)
- [Elias M. Stein](https://scholariq.org/researchers/elias-m-stein/)
- [Ravi P. Agarwal](https://scholariq.org/researchers/ravi-p-agarwal/)
- [J. L. Lions](https://scholariq.org/researchers/j-l-lions/)
- [E Weinan](https://scholariq.org/researchers/e-weinan/)
- [Pierre‐Louis Lions](https://scholariq.org/researchers/pierre-louis-lions-2/)
- [Jack K. Hale](https://scholariq.org/researchers/jack-k-hale/)
- [Haïm Brézis](https://scholariq.org/researchers/haim-brezis/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.