Multiple positive solutions for a fractional \(p \& q\)-Laplacian system with concave and critical nonlinearities
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Publication:6058357
DOI10.1007/s41808-023-00222-yzbMath1526.35153OpenAlexW4367549623MaRDI QIDQ6058357
Rachid Echarghaoui, Moussa Khouakhi, Mohamed Masmodi
Publication date: 1 November 2023
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41808-023-00222-y
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Boundary value problems for second-order elliptic systems (35J57)
Cites Work
- Unnamed Item
- Optimal decay of extremals for the fractional Sobolev inequality
- Local behavior of fractional \(p\)-minimizers
- Critical nonlocal systems with concave-convex powers
- The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent
- Existence of multiple positive solutions for a \(p\)-\(q\)-Laplacian system with critical nonlinearities
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiplicity of positive solutions for a critical quasilinear elliptic system with concave and convex nonlinearities
- The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
- An eigenvalue problem for a quasilinear elliptic field equation
- Multiple positive solutions for a critical quasilinear elliptic system
- The Nehari manifold for a fractional \(p\)-Laplacian system involving concave-convex nonlinearities
- Nehari manifold for non-local elliptic operator with concave-convex nonlinearities and sign-changing weight functions
- On systems of elliptic equations involving subcritical or critical Sobolev exponents
- Minimax theorems
- Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities
- Existence and multiplicity of positive solutions for a class of critical fractional Laplacian systems
- Two disjoint and infinite sets of solutions for a concave-convex critical fractional Laplacian equation
- Multiplicity of solutions for fractional \(p\& q\)-Laplacian system involving critical concave-convex nonlinearities
- Multiple positive solutions for a critical elliptic system with concave and convex nonlinearities
- A concave—convex elliptic problem involving the fractional Laplacian
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Existence of solutions for critical fractional p&q-Laplacian system
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