Some quasilinear elliptic equations involving multiple $p$-Laplacians

DOI10.1512/iumj.2018.67.7523zbMath1417.35048arXiv1612.04533OpenAlexW2963734614MaRDI QIDQ3120771

Alessio Pomponio, Tatsuya Watanabe

Publication date: 19 March 2019

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04533

zbMATH Keywords

quasilinear elliptic equationvariational methodground state solution

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (16)

Oscillating solutions for prescribed mean curvature equations: Euclidean and Lorentz-Minkowski cases ⋮ The nonlinear \((p,q)\)-Schrödinger equation with a general nonlinearity: existence and concentration ⋮ A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator ⋮ Schrödinger-Poisson system with zero mass in \(\mathbb{R}^2\) involving \((2, q)\)-Laplacian: existence, asymptotic behavior and regularity of solutions ⋮ On a class of infinite semipositone problems for ( p , q ) Laplace operator ⋮ Born-Infeld problem with general nonlinearity ⋮ On the eigenvalue set of the \((p,q)\)-Laplacian with a Neumann-Steklov boundary condition. ⋮ Multiplicity results for double phase problems in RN ⋮ Positive solutions to classes of infinite semipositone \((p,q)\)-Laplace problems with nonlinear boundary conditions ⋮ On a zero-mass \((N,q)\)-Laplacian equation in \(\mathbb{R}^N\) with exponential critical growth ⋮ A complete classification of bifurcation diagrams for a class of \((p,q)\)-Laplace equations ⋮ An existence result for \(( p , q )\)-Laplace equations involving sandwich-type and critical growth ⋮ Ground state solutions for quasilinear scalar field equations arising in nonlinear optics ⋮ A Berestycki-Lions type result and applications ⋮ Positive radial solutions to singular nonlinear elliptic problems involving nonhomogeneous operators ⋮ Solitary waves for a class of generalized Kadomtsev-Petviashvili equation in \(\mathbb{R}^N\) with positive and zero mass

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