A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator (Q5102382)

scientific article; zbMATH DE number 7582416

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English	A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator	scientific article; zbMATH DE number 7582416

Statements

instance of

scholarly article

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title

A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator (English)

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published in

Communications in Contemporary Mathematics

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publication date

6 September 2022

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zbMATH Keywords

$1$-Laplacian

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Berestycki-Lions-type result

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variational methods

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author

Claudianor Oliveira Alves

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MaRDI profile type

MaRDI publication profile

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cites work

A Berestycki-Lions type result and applications

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Existence of a ground state solution for a nonlinear scalar field equation with critical growth

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Ground state solutions for fractional scalar field equations under a general critical nonlinearity

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Existence and profile of ground-state solutions to a 1-Laplacian problem in $\mathbb{R}^N$

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On existence and concentration of solutions to a class of quasilinear problems involving the 1-Laplace operator

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Variational Analysis in Sobolev and<i>BV</i>Spaces

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Explicit Solutions of the Eigenvalue Problem $div \left(\frac Du\vert Du \vert \right)=u$ in $R^2$

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Nonlinear scalar field equations. I: Existence of a ground state

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Q3333435

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Variational methods for non-differentiable functionals and their applications to partial differential equations

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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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Generalized Gradients and Applications

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On Some Nonlinear Partial Differential Equations Involving the “1”-Laplacian and Critical Sobolev Exponent

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Functions locally almost 1-harmonic

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Linking solutions for quasilinear equations at critical growth involving the ``1-Laplace'' operator

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Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions

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Strauss' and Lions' type results in $BV(\mathbb R^N)$ with an application to an 1-Laplacian problem

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Existence of bounded variation solutions for a 1-Laplacian problem with vanishing potentials

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Nodal solutions to quasilinear elliptic problems involving the 1-Laplacian operator via variational and approximation methods

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Local and global properties of solutions of quasilinear elliptic equations

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A remark on least energy solutions in $\mathbf {R}^N$

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DIRICHLET PROBLEMS FOR THE 1-LAPLACE OPERATOR, INCLUDING THE EIGENVALUE PROBLEM

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Symétrie et compacité dans les espaces de Sobolev

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Behaviour of $p$-Laplacian problems with Neumann boundary conditions when $p$ goes to $1$

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Elliptic equations involving the 1-Laplacian and a subcritical source term

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On the behaviour of the solutions to $p$-Laplacian equations as $p$ goes to 1

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A Berestycki-Lions' type result to a quasilinear elliptic problem involving the 1-Laplacian operator

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Mountain pass solutions for quasi-linear equations via a monotonicity trick

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Some quasilinear elliptic equations involving multiple $p$-Laplacians

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Weighted Sobolev embedding with unbounded and decaying radial potentials

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Best constant in Sobolev inequality

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A BERESTYCKI–LIONS THEOREM REVISITED

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Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity

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full work available at URL

https://doi.org/10.1142/s021919972150022x

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Identifiers

zbMATH Open document ID

1498.35307

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DOI

10.1142/S021919972150022X

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5102382