Existence and multiplicity of positive solutions for a class of critical fractional Laplacian systems
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Publication:2091760
DOI10.1007/s41808-022-00177-6zbMath1501.35179OpenAlexW4287834381MaRDI QIDQ2091760
Mohamed Masmodi, Moussa Khouakhi, Rachid Echarghaoui
Publication date: 2 November 2022
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41808-022-00177-6
Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
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Cites Work
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- The Nehari manifold for fractional systems involving critical nonlinearities
- Positive solutions for nonhomogeneous elliptic equations involving critical Sobolev exponent
- On some critical problems for the fractional Laplacian operator
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- On nonhomogeneous elliptic equations involving critical Sobolev exponent
- Minimax theorems
- Getting acquainted with the fractional Laplacian
- A concave—convex elliptic problem involving the fractional Laplacian
- On the spectrum of two different fractional operators
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
- Lévy Processes and Stochastic Calculus
- Financial Modelling with Jump Processes
- Multiple positive solutions of nonhomogeneous semilinear elliptic equations in ℝN
- An Extension Problem Related to the Fractional Laplacian
- Multiple positive solutions for an elliptic problem involving a critical Sobolev exponent