A Berestycki-Lions type result and applications
From MaRDI portal
Publication:2280513
DOI10.4171/rmi/1104zbMath1433.35083arXiv1708.02263OpenAlexW2966029679MaRDI QIDQ2280513
Marco A. S. Souto, Ronaldo C. Duarte, Claudianor Oliveira Alves
Publication date: 18 December 2019
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.02263
Nonsmooth analysis (49J52) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60)
Related Items (7)
Ground state solution for nonlocal scalar field equations involving an integro-differential operator ⋮ A Berestycki-Lions' type result to a quasilinear elliptic problem involving the 1-Laplacian operator ⋮ A Berestycki–Lions type result for a class of problems involving the 1-Laplacian operator ⋮ Existence of positive solutions for a class of elliptic problems with fast increasing weights and critical exponent discontinuous nonlinearity ⋮ A Berestycki–Lions type result for a class of degenerate elliptic problems involving the Grushin operator ⋮ Existence results for an anisotropic nonlocal problem involving critical and discontinuous nonlinearities ⋮ A global minimization trick to solve some classes of Berestycki-Lions type problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On some critical problems for the fractional Laplacian operator
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence of solution for a anisotropic equation with critical exponent.
- Existence of a ground state solution for a nonlinear scalar field equation with critical growth
- Strongly nonlinear multivalued elliptic equations on a bounded domain
- Variational methods in the study of boundary value problems with discontinuous nonlinearity
- Nonlinear scalar field equations. I: Existence of a ground state
- Some discontinuous variational problems
- Compactness and quasilinear problems with critical exponents.
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Nonlinear elliptic eigenvalue problems with discontinuities
- Mountain pass theorems for non-differentiable functions and applications
- Strauss' and Lions' type results in \(BV(\mathbb R^N)\) with an application to an 1-Laplacian problem
- Existence and nonexistence results for anisotropic quasilinear elliptic equations
- Ground state solutions for fractional scalar field equations under a general critical nonlinearity
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method
- On a perturbed anisotropic equation with a critical exponent
- Extremal functions for the anisotropic Sobolev inequalities
- Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
- A concave—convex elliptic problem involving the fractional Laplacian
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Some quasilinear elliptic equations involving multiple $p$-Laplacians
- A BERESTYCKI–LIONS THEOREM REVISITED
- Optimization and nonsmooth analysis
- Elliptic equations with discontinuous nonlinearities in N
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- Existence and multiplicity results for elliptic problems with critical growth and discontinuous nonlinearities
- Quasilinear elliptic equations with discontinuous nonlinearities in Rn
- A remark on least energy solutions in $\mathbf {R}^N$
- The weak upper and lower solution method for quasilinear elliptic equations with generalized subdifferentiable perturbations
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Existence and Concentration of Solutions for a Class of Elliptic Problems with Discontinuous Nonlinearity in $\mathbf{R}^{N}$
- Ground states and concentration phenomena for the fractional Schrödinger equation
- On the Schroedinger equation in $\mathbb{R}^{N}$ under the effect of a general nonlinear term
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- An Extension Problem Related to the Fractional Laplacian
- ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES
- A variational approach to discontinuous problems with critical Sobolev exponents
This page was built for publication: A Berestycki-Lions type result and applications
