Existence and nonexistence results for critical growth fractional elliptic systems
From MaRDI portal
Publication:2022961
DOI10.1007/s42985-020-00055-7zbMath1465.35266OpenAlexW3119895088WikidataQ115370299 ScholiaQ115370299MaRDI QIDQ2022961
Publication date: 3 May 2021
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42985-020-00055-7
Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Elliptic equations and elliptic systems (35J99) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- On some critical problems for the fractional Laplacian operator
- Hitchhiker's guide to the fractional Sobolev spaces
- A critical fractional equation with concave-convex power nonlinearities
- Fractional Laplacian equations with critical Sobolev exponent
- Multiple nontrivial solutions for critical growth quasilinear elliptic systems
- The Pohozaev identity for the fractional Laplacian
- Mountain pass solutions for non-local elliptic operators
- Positive solutions to semilinear polyharmonic Dirichlet problems involving critical Sobolev exponents
- Existence and nonexistence results for critical growth biharmonic elliptic equations
- Nonexistence results for a class of fractional elliptic boundary value problems
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Variational methods for non-local operators of elliptic type
- Equations involving fractional Laplacian operator: compactness and application
- The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Existence and nonexistence results for critical growth polyharmonic elliptic systems
- The Brezis-Nirenberg problem for nonlocal systems
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Fractional p-eigenvalues
- The Brezis-Nirenberg result for the fractional Laplacian
This page was built for publication: Existence and nonexistence results for critical growth fractional elliptic systems