Variational method based on finite dimensional approximation in a generalized prescribed mean curvature problem
From MaRDI portal
Publication:1018375
DOI10.1016/j.jde.2008.11.015zbMath1166.53006OpenAlexW2088964166MaRDI QIDQ1018375
Publication date: 19 May 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2008.11.015
variational inequalitymountain pass theoremfunction of bounded variationprescribed mean curvaturefinite dimensional approximation
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational methods involving nonlinear operators (47J30) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)
Related Items
Exact number of solutions of a one-dimensional prescribed mean curvature equation with concave-convex nonlinearities ⋮ Positive solutions of the Dirichlet problem for the prescribed mean curvature equation ⋮ Bifurcation diagrams and exact multiplicity of positive solutions of one-dimensional prescribed mean curvature equation in Minkowski space ⋮ Existence of positive solutions of one-dimensional prescribed mean curvature equation ⋮ Time-map analysis to establish the exact number of positive solutions of one-dimensional prescribed mean curvature equations ⋮ Exact number of solutions of a prescribed mean curvature equation ⋮ Existence of a BV solution for a mean curvature equation ⋮ On the multiplicity of nodal solutions of a prescribed mean curvature problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Critical point theory and Hamiltonian systems
- Existence, regularity, and boundary behaviour of generalized surfaces of prescribed mean curvature
- On the regularity of solutions to variational problems in \(BV(\Omega)\)
- Boundary value problems for surfaces of prescribed mean curvature
- On some nonlinear equation involving the 1-Laplacian and trace map inequalities
- Existence of ground states and free-boundary problems for the prescribed mean-curvature equation
- Multiple solutions of hemivariational inequalities with area-type term
- Nontrivial solutions of mountain pass type of quasilinear equations with slowly growing principal parts.
- Multiple solutions of quasilinear equations involving an area-type term
- Classical and non-classical solutions of a prescribed curvature equation
- A Ljusternik--Schnirelmann type theorem for eigenvalues of a prescribed mean curvature problem
- The Euler Equation for Functionals with Linear Growth
- Ground States for the Prescribed Mean Curvature Equation
- A Prescribed Mean Curvature Problem on Domains without Radial Symmetry
- A barrier method for mean curvature problems
- A barrier method for quasilinear ordinary differential equations of the curvature type
- Positive Solutions of an Indefinite Prescribed Mean Curvature Problem on a General Domain
- Some Existence Results on Nontrivial Solutions of the Prescribed Mean Curvature Equation
- MULTIPLE POSITIVE SOLUTIONS OF A ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEM
- Classical and Non-Classical Sign-Changing Solutions of a One-Dimensional Autonomous Prescribed Curvature Equation
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
- Local estimates for the gradient of non‐parametric surfaces of prescribed mean curvature
