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.
Papers listed on taxonomy pages are the top few works per node from the OpenAlex snapshot. That list is not exhaustive and is not an endorsement. The topic map and the journal registry remain separate: there is still no authoritative topic-to-venue or topic-to-organization edge. Search is a lexical lookup, not a claim that a venue publishes a topic.
Most cited
- Hitchhikerʼs guide to the fractional Sobolev spaces
- Symmetry and related properties via the maximum principle
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- An Extension Problem Related to the Fractional Laplacian
- Best constant in Sobolev inequality
- Logarithmic Sobolev Inequalities
Most recent
- Serrin’s overdetermined problems on epigraphs
- On the defocusing stationary nonlinear Schrödinger equation on metric graphs
- Second boundary value problems for Hessian curvature equations
- On finite-energy solutions of Kazdan-Warner type equations on the lattice graph
- Multiple Normalized Solutions for p-Laplacian Schrödinger–Poisson Systems
- Normalized solutions for magnetic p-Laplacian equations coupled with nonlocal Poisson potentials and critical nonlinearities