Layer solutions for a class of semilinear elliptic equations involving fractional Laplacians
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Publication:468505
DOI10.1186/1687-2770-2014-41zbMath1317.35282OpenAlexW2067791494WikidataQ59324262 ScholiaQ59324262MaRDI QIDQ468505
Publication date: 7 November 2014
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2014-41
Asymptotic behavior of solutions to PDEs (35B40) Methods involving semicontinuity and convergence; relaxation (49J45) Perturbations in context of PDEs (35B20) Fractional partial differential equations (35R11)
Related Items (5)
Periodic solutions of fractional Laplace equations: least period, axial symmetry and limit ⋮ Layered solutions for a nonlocal Ginzburg-Landau model with periodic modulation ⋮ The electro-mechanics of a coating/substrate system under charged spherical contact ⋮ Existence results for a perturbed problem involving fractional Laplacians ⋮ Periodic solutions of non-autonomous Allen-Cahn equations involving fractional Laplacian
Cites Work
- Unnamed Item
- Local and global minimizers for a variational energy involving a fractional norm
- On a conjecture of De Giorgi and some related problems
- Stationary layered solutions in \(\mathbb{R}^ 2\) for an Allen-Cahn system with multiple well potential
- On De Giorgi's conjecture in dimensions 4 and 5
- The local regularity of solutions of degenerate elliptic equations
- Characterization of traces of the weighted Sobolev space $W^{1,p}(\Omega,d_M^\epsilon)$ on $M$
- An Extension Problem Related to the Fractional Laplacian
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
- Layer solutions in a half‐space for boundary reactions
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