A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator
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Publication:5102382
DOI10.1142/S021919972150022XzbMath1498.35307OpenAlexW3127017166MaRDI QIDQ5102382
Publication date: 6 September 2022
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021919972150022x
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (3)
Ground state solution for a non-autonomous 1-Laplacian problem involving periodic potential in \(\protect \mathbb{R}^N\) ⋮ Existence and uniqueness of solution for some time fractional parabolic equations involving the 1-Laplace operator ⋮ On bounded variation solutions of quasi-linear 1-Laplacian problems with periodic potential in \(\mathbb{R}^N\)
Cites Work
- Unnamed Item
- Mountain pass solutions for quasi-linear equations via a monotonicity trick
- Existence of a ground state solution for a nonlinear scalar field equation with critical growth
- Elliptic equations involving the 1-Laplacian and a subcritical source term
- Nonlinear scalar field equations. I: Existence of a ground state
- On the behaviour of the solutions to \(p\)-Laplacian equations as \(p\) goes to 1
- Linking solutions for quasilinear equations at critical growth involving the ``1-Laplace operator
- Local and global properties of solutions of quasilinear elliptic equations
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Symétrie et compacité dans les espaces de Sobolev
- Best constant in Sobolev inequality
- Strauss' and Lions' type results in \(BV(\mathbb R^N)\) with an application to an 1-Laplacian problem
- On existence and concentration of solutions to a class of quasilinear problems involving the 1-Laplace operator
- Existence of bounded variation solutions for a 1-Laplacian problem with vanishing potentials
- Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
- Behaviour of \(p\)-Laplacian problems with Neumann boundary conditions when \(p\) goes to \(1\)
- Ground state solutions for fractional scalar field equations under a general critical nonlinearity
- Existence and profile of ground-state solutions to a 1-Laplacian problem in \(\mathbb{R}^N\)
- A Berestycki-Lions type result and applications
- Weighted Sobolev embedding with unbounded and decaying radial potentials
- A Berestycki-Lions' type result to a quasilinear elliptic problem involving the 1-Laplacian operator
- Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
- Some quasilinear elliptic equations involving multiple $p$-Laplacians
- A BERESTYCKI–LIONS THEOREM REVISITED
- Variational Analysis in Sobolev andBVSpaces
- DIRICHLET PROBLEMS FOR THE 1-LAPLACE OPERATOR, INCLUDING THE EIGENVALUE PROBLEM
- Generalized Gradients and Applications
- Functions locally almost 1-harmonic
- A remark on least energy solutions in $\mathbf {R}^N$
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- On Some Nonlinear Partial Differential Equations Involving the “1”-Laplacian and Critical Sobolev Exponent
- Nodal solutions to quasilinear elliptic problems involving the 1-Laplacian operator via variational and approximation methods
- Explicit Solutions of the Eigenvalue Problem $div \left(\frac Du\vert Du \vert \right)=u$ in $R^2$
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