Multiple positive solutions for a class of concave–convex elliptic problems in ℝNinvolving sign-changing weight, II

DOI10.1142/S021919971450045XzbMath1326.35107MaRDI QIDQ2950138

Yi Sheng Huang, Yuanze Wu, Tsung-fang Wu

Publication date: 8 October 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

multiple solutionssign-changing weight functionsconcave-convex elliptic problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Positive solutions to PDEs (35B09)

Related Items (17)

Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy-Sobolev exponent and singular nonlinearity ⋮ On a Kirchhoff equation in bounded domains ⋮ On a \(K\)-component elliptic system with the Sobolev critical exponent in high dimensions: the repulsive case ⋮ Fractional p-Laplacian elliptic problems with sign changing nonlinearities via the nonlinear Rayleigh quotient ⋮ Existence and non-existence results for quasilinear Kirchhoff problems with the Hardy-Sobolev exponent ⋮ Sign-changing semi-classical solutions of the Brezís-Nirenberg problems with jump nonlinearities in high dimensions ⋮ Unnamed Item ⋮ Spikes of sign-changing solutions to the critical Schrödinger equations with trapping potentials ⋮ Least energy sign-changing solutions of the singularly perturbed Brezis-Nirenberg problem ⋮ On the semiclassical solutions of a two-component elliptic system in \(\mathbb {R}^4\) with trapping potentials and Sobolev critical exponent: the repulsive case ⋮ Spikes of the two-component elliptic system in \(\mathbb {R}^4\) with the critical Sobolev exponent ⋮ Ground States of a \(\mathrm{K}\)-component critical system with linear and nonlinear couplings: the attractive case ⋮ On finding solutions of a Kirchhoff type problem ⋮ Choquard equations via nonlinear Rayleigh quotient for concave-convex nonlinearities ⋮ Multiple positive solutions for the critical Kirchhoff type problems involving sign-changing weight functions ⋮ Positive solutions for Kirchhoff elliptic problems via Rayleigh quotient in the whole \(\mathbb{R}^N\) ⋮ On finding the ground state solution to the linearly coupled Brezis-Nirenberg system in high dimensions: the cooperative case

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