Local minimizers in spaces of symmetric functions and applications

DOI10.1016/j.jmaa.2015.03.084zbMath1319.35019arXiv1404.3557OpenAlexW2087293406MaRDI QIDQ2345469

Ederson Moreira dos Santos, Pedro Ubilla, Leonelo Iturriaga

Publication date: 22 May 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.3557

zbMATH Keywords

critical exponentsHénon type weights\(C^1\) versus \(H^1\) local minimizersspaces of symmetric functions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (7)

Weighted critical Hénon equations with \(p\)-Laplacian on the unit ball in \(\mathbb{R}^N\) ⋮ Positive radial solutions of critical Hénon equations on the unit ball in ℝN$$ {\mathbb{R}}^N $$ ⋮ Ground state solution for a class of supercritical Hénon equation with variable exponent ⋮ The ground states of Hénon equations for \(p\)-Laplacian in \(\mathbb{R}^N\) involving upper weighted critical exponents ⋮ The ground state solutions of Hénon equation with upper weighted critical exponents ⋮ Ground state solutions for Schrödinger-Poisson systems with multiple weighted critical exponents ⋮ Bounded solutions of a \(k\)-Hessian equation involving a weighted nonlinear source

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