Bounded variation solution for a class of Kirchhoff type problem involving the 1-Laplacian operator

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

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On Palais' principle for non-smooth functionals
Multiplicity of solutions for a class of Kirchhoff type problems
Linking solutions for quasilinear equations at critical growth involving the ``1-Laplace operator
Variational methods for non-differentiable functionals and their applications to partial differential equations
Global solvability for the generalized degenerate Kirchhoff equation with real-analytic data in \(\mathbb{R}^n\)
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
Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
Multiplicity of solutions for a class of quasilinear problems involving the \(1\)-Laplacian operator with critical growth
Multiplicity results for the Kirchhoff type equation via critical groups
Positive solutions for a Kirchhoff equation with perturbed source terms
Existence and profile of ground-state solutions to a 1-Laplacian problem in \(\mathbb{R}^N\)
Existence of a radial solution to a 1-Laplacian problem in \(\mathbb{R}^N\)
Positive solutions for a quasilinear elliptic equation of Kirchhoff type
Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
A Berestycki-Lions' type result to a quasilinear elliptic problem involving the 1-Laplacian operator
The Euler Equation for Functionals with Linear Growth
Bounded variation solution to 1-Laplacian Kirchhoff type problem in ℝ^N
Book Reviews

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