Monotonicity formulas for coupled elliptic gradient systems with applications
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Publication:2311846
DOI10.1515/anona-2020-0010zbMath1421.35107arXiv1509.08153OpenAlexW2963429734MaRDI QIDQ2311846
Henrik Shahgholian, Mostafa Fazly
Publication date: 4 July 2019
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.08153
stable solutionsfractional Laplacian operatormonotonicity formulaehomogeneous solutionscoupled elliptic systems
Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50) Fractional partial differential equations (35R11)
Related Items (6)
Positive maximal and minimal solutions for non-homogeneous elliptic equations depending on the gradient ⋮ On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation ⋮ Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations ⋮ Stable and finite Morse index solutions of a nonlinear Schrödinger system ⋮ Monotonicity formulas for coupled elliptic gradient systems with applications ⋮ Existence and asymptotic behavior of solutions for a class of semilinear subcritical elliptic systems
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