Symmetry of minimizers of some fractional problems

DOI10.1080/00036811.2014.898273zbMath1327.35404OpenAlexW2055670118WikidataQ58190177 ScholiaQ58190177MaRDI QIDQ4982037

Hichem Hajaiej

Publication date: 23 March 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.898273

zbMATH Keywords

symmetryminimizersfractional problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (6)

Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities ⋮ Semilinear fractional elliptic equations involving measures ⋮ Multiple solutions for a class of nonhomogeneous fractional Schrödinger equations in \(\mathbb{R}^{N}\) ⋮ A multiplicity results for a singular problem involving the fractionalp-Laplacian operator ⋮ A sharp Gagliardo-Nirenberg inequality and its application to fractional problems with inhomogeneous nonlinearity ⋮ On a New Class of Variational Problems

Cites Work

• Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms
• On the optimality of the assumptions used to prove the existence and symmetry of minimizers of some fractional constrained variational problems
• Rearrangement inequalities for functionals with monotone integrands
• On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity
• Advances on Fractional Inequalities

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