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Nonlinear Partial Differential Equations

Nonlinear Partial Differential Equations is a research topic within Applied Mathematics. Science Explorer counts 25k research works in it since 1956. 9.9% of them reached the world's top 10% most cited for their field and year.

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.

  • Fractional Laplacian
  • Sobolev Spaces
  • Nonlinear Equations
  • Regularity Theory
  • Variational Problems
  • Critical Exponents
  • Ground State Solutions
  • Elliptic Equations
  • Nonlocal Operators
  • Hamiltonian Estimates
Research works
25k
fractional, since 1956
In the world top 10%
2.5k
per year above
Top-10% rate
9.9%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+12%
the tick is no change
Largest producer
China
47% of the 10 largest, 2022-now
Nonlinear Partial Differential Equations
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