On the existence and numerical computation of classical and non-classical solutions for a family of elliptic boundary value problems
From MaRDI portal
Publication:5957796
DOI10.1016/S0362-546X(00)00208-XzbMath1113.35079OpenAlexW2074991748MaRDI QIDQ5957796
Rosa Gómez-Reñasco, Julián López-Gómez
Publication date: 13 March 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(00)00208-x
Related Items (33)
Multiplicity of nodal solutions in classical non-degenerate logistic equations ⋮ Asymptotic behavior of boundary blow-up solutions to elliptic equations ⋮ Effects of a degeneracy in a diffusive predator-prey model with Holling II functional response ⋮ Unnamed Item ⋮ Multiplicity of large solutions for quasi-monotone pulse-type nonlinearities ⋮ Uniqueness and stability of positive steady state solutions for a ratio-dependent predator-prey system with a crowding term in the prey equation ⋮ Sharp patterns for some semilinear nonlocal dispersal equations ⋮ Global structure of the set of 1-node solutions in a class of degenerate diffusive logistic equations ⋮ The boundary blow-up rate of large solutions. ⋮ Existence, uniqueness and blow-up rate of large solutions for a canonical class of one-dimensional problems on the half-line ⋮ Uniqueness of large solutions for non-monotone nonlinearities ⋮ Some paradoxical effects of the advection on a class of diffusive equations in ecology ⋮ Metasolutions in cooperative systems ⋮ Asymptotic behavior of degenerate logistic equations ⋮ Sharp blow-up profiles of positive solutions for a class of semilinear elliptic problems ⋮ Global dynamics of generalized logistic equations ⋮ Refuge versus dispersion in the logistic equation ⋮ Multiple stable patterns in a balanced bistable equation with heterogeneous environments ⋮ Optimal uniqueness theorems and exact blow-up rates of large solutions ⋮ Boundary blow-up rates of large solutions for elliptic equations with convection terms ⋮ Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions ⋮ The structure of the set of 1-node solutions of a class of degenerate BVP's ⋮ Sharp profiles for periodic logistic equation with nonlocal dispersal ⋮ Blow-up rates of radially symmetric large solutions ⋮ Spatial competition strategies: the case of two refuges ⋮ Uniqueness and blow-up rate of large solutions for elliptic equation \(-\Delta u=\lambda u - b(x)h(u)\) ⋮ Nodal solutions of weighted indefinite problems ⋮ Existence and boundary blow-up rates of solutions for boundary blow-up elliptic systems ⋮ Long-time behavior of a cooperative periodic-parabolic system: temporal degeneracy versus spatial degeneracy ⋮ Long-time behavior of a cooperative periodic-parabolic system in a spatiotemporally degenerate environment ⋮ Global bifurcation diagrams of positive solutions for a class of 1D superlinear indefinite problems* ⋮ Intricate dynamics caused by facilitation in competitive environments within polluted habitat patches ⋮ Superlinear indefinite systems: beyond Lotka-Volterra models
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite dimensional approximation of nonlinear problems. II: Limit points
- Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points
- Numerical methods in bifurcation problems. Lectures delivered at the Indian Institute of Science, Bangalore, under the T.I.F.R.-I.I.Sc. Programme in Applications of Mathematics. Notes by A. K. Nandakumaran and Mythily Ramaswamy
- Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
- First variations of principal eigenvalues with respect to the domain and point-wise growth of positive solutions for problems where bifurcation from infinity occurs
- A priori bounds and multiple solutions for superlinear indefinite elliptic problems
- Pointwise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs
- The maximum principle for cooperative weakly coupled elliptic systems and some applications
- Semilinear elliptic equations with uniform blow-up on the boundary
- `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
- Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
- The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
- Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
- Bifurcation from simple eigenvalues
- The Pseudo-Spectral Method and Path Following in Reaction-Diffusion Bifurcation Studies
- Remarks on sublinear elliptic equations
- Path following near bifurcation
- On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
- Structure of solution manifolds in a strongly coupled elliptic system
This page was built for publication: On the existence and numerical computation of classical and non-classical solutions for a family of elliptic boundary value problems