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Physical Sciences → Mathematics → Applied Mathematics

Nonlinear Partial Differential Equations

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.

62.1K works worldwide659.9K citations
Fractional LaplacianSobolev SpacesNonlinear EquationsRegularity TheoryVariational ProblemsCritical ExponentsGround State SolutionsElliptic EquationsNonlocal OperatorsHamiltonian Estimates

Journals publishing in this area

1Journal of Mathematical Analysis and Applications cover
Journal of Mathematical Analysis and Applications
ISSN 0022-247X3,870 articles in this topic
235h-index
2Transactions of the American Mathematical Society cover
Transactions of the American Mathematical Society
ISSN 0002-99471,079 articles in this topic
264h-index