Nonlinear scalar field \((p_1, p_2)\)-Laplacian equations in \(\mathbb{R}^N\): existence and multiplicity
type: Item
instance of: scholarly article
title: Nonlinear scalar field \((p_1, p_2)\)-Laplacian equations in \(\mathbb{R}^N\): existence and multiplicity
author: Vincenzo Ambrosio
published in: Calculus of Variations and Partial Differential Equations
publication date: 2024-09-18T00:00:00Z
Mathematics Subject Classification ID: 35J92
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7915536
zbMATH Keywords: \((p_1, p_2)\)-Laplacian
zbMATH Keywords: existence of a ground state
zbMATH Keywords: multiplicity
MaRDI profile type: Publication
cites work: Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
cites work: Q5318420
cites work: Symmetric Decreasing Rearrangement Is Sometimes Continuous
cites work: Existence of positive solutions for a problem with lack of compactness involving the \(p\)-Laplacian
cites work: Multiplicity and Concentration of Positive Solutions for a Class of Quasilinear Problems
cites work: Dual variational methods in critical point theory and applications
cites work: The nonlinear \((p,q)\)-Schrödinger equation with a general nonlinearity: existence and concentration
cites work: Multiple solutions for double phase problems in \(\mathbb{R}^n\) via Ricceri's principle
cites work: Concentration compactness principle and quasilinear elliptic equations in Rn
cites work: On a class of superlinear \((p,q)\)-Laplacian type equations on \(\mathbb{R}^N\)
cites work: Q3333435
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Nonlinear scalar field equations. II: Existence of infinitely many solutions
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Symmetry and monotonicity of least energy solutions
cites work: On the stationary solutions of generalized reaction diffusion equations with \(p\)\& \(q\)-Laplacian
cites work: Positive solutions for a quasilinear degenerate elliptic equation in \(\mathbb R^ N\)
cites work: On the regularity of solutions in the Pucci-Serrin identity
cites work: Q4444820
cites work: On subcriticality assumptions for the existence of ground states of quasilinear elliptic equations.
cites work: Existence of positive solutions for a class of \(p\&q\) elliptic problems with critical growth on \(\mathbb R^N\)
cites work: Existence of positive solutions for a class of quasilinear elliptic problems with exponential growth via the Nehari manifold method
cites work: The existence of a nontrivial solution to the \(p{\&}q\)-Laplacian problem with nonlinearity asymptotic to \(u^{p - 1}\) at infinity in \(\mathbb R^N\)
cites work: Q3517454
cites work: Nonlinear scalar field equations in \(\mathbb{R}^N\): Mountain pass and symmetric mountain pass approaches
cites work: Nodal solutions for double phase Kirchhoff problems with vanishing potentials
cites work: Existence of solutions with prescribed norm for semilinear elliptic equations
cites work: On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
cites work: A remark on least energy solutions in $\mathbf {R}^N$
cites work: Nonlinear scalar field equations with general nonlinearity
cites work: Multiple solutions for the p\&q-Laplacian problem with critical exponents
cites work: Symétrie et compacité dans les espaces de Sobolev
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Growth conditions and regularity for weak solutions to nonlinear elliptic pdes
cites work: Nonradial solutions of nonlinear scalar field equations
cites work: Global compactness for a class of quasi-linear elliptic problems
cites work: A global compactness result for the \(p\)-Laplacian involving critical nonlinearities
cites work: Recent developments in problems with nonstandard growth and nonuniform ellipticity
cites work: A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
cites work: The principle of symmetric criticality
cites work: Nonlinear nonhomogeneous singular problems
cites work: Some quasilinear elliptic equations involving multiple $p$-Laplacians
cites work: Q4186717
cites work: Variational Methods
cites work: On harnack type inequalities and their application to quasilinear elliptic equations
cites work: Minimax theorems
cites work: Existence of positive solutions to quasi-linear elliptic equations with exponential growth in the whole Euclidean space
cites work: AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
cites work: On Lavrentiev's phenomenon
DOI: 10.1007/S00526-024-02797-3
description: scientific article; zbMATH DE number 7915536