Sign-changing two-peak solutions for an elliptic free boundary problem related to confined plasmas
From MaRDI portal
Publication:1661701
DOI10.1515/anona-2016-0029zbMath1398.35092arXiv1512.07432OpenAlexW2964322193MaRDI QIDQ1661701
Giovanni Pisante, Tonia Ricciardi
Publication date: 16 August 2018
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.07432
Boundary value problems for second-order elliptic equations (35J25) Statistical mechanics of plasmas (82D10) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Planar vortex patch problem in incompressible steady flow
- Desingularization of vortices for the Euler equation
- Convexity of solutions of semilinear elliptic equations
- Asymptotic estimates for the plasma problem
- A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
- Multiplicity of solutions for the plasma problem in two dimensions
- Corrigendum to: ``An isoperimetric inequality for a nonlinear eigenvalue problem.
- An isoperimetric inequality for a nonlinear eigenvalue problem
- Regularization of point vortices pairs for the Euler equation in dimension two
- Concentrating solutions for a Liouville type equation with variable intensities in 2D-turbulence
- On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity
- The Lazer-McKenna conjecture and a free boundary problem in two dimensions
- On a free boundary problem arising in plasma physics
- Critical points and nonlinear variational problems
- A row of counter-rotating vortices
- Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $
- Critical Points of the $N$-vortex Hamiltonian in Bounded Planar Domains and Steady State Solutions of the Incompressible Euler Equations
- Existence and qualitative properties of concentrating solutions for the sinh-Poisson equation
- On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
