An indefinite nonlinear problem in population dynamics: high multiplicity of positive solutions
From MaRDI portal
Publication:4578085
DOI10.1088/1361-6544/aac8bbzbMath1400.34035arXiv1712.03352OpenAlexW3106536038WikidataQ129482762 ScholiaQ129482762MaRDI QIDQ4578085
Elisa Sovrano, Guglielmo Feltrin
Publication date: 7 August 2018
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.03352
Dirichlet problempositive solutionsindefinite weightNeumann problemshooting methodmultiplicity results
Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08)
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Cites Work
- Unnamed Item
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- Multiple solutions to Neumann problems with indefinite weight and bounded nonlinearities
- Positive solutions to indefinite Neumann problems when the weight has positive average
- An introduction to migration-selection PDE models
- A survey of migration-selection models in population genetics
- Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree
- A note on a superlinear indefinite Neumann problem with multiple positive solutions
- Effects of heterogeneity on spread and persistence in rivers
- The effects of spatial heterogeneity in population dynamics
- Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem
- Positive solutions of elliptic problems with locally oscillating nonlinearities
- An indefinite nonlinear diffusion problem in population genetics. I: Existence and limiting profiles
- An indefinite nonlinear diffusion problem in population genetics. II: Stability and multiplicity
- Multibump nodal solutions for an indefinite superlinear elliptic problem
- Existence and uniqueness of solutions of nonlinear Neumann problems
- On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
- Geometric theory of semilinear parabolic equations
- A selection-migration model in population genetics
- A priori bounds and multiple solutions for superlinear indefinite elliptic problems
- On semilinear elliptic equations with indefinite nonlinearities
- Superlinear indefinite elliptic problems and nonlinear Liouville theorems
- The effect of varying coefficients on the dynamics of a class of superlinear indefinite reaction-diffusion equations
- A semilinear parabolic system for migration and selection in population genetics
- Three positive solutions to an indefinite Neumann problem: a shooting method
- A negative answer to a conjecture arising in the study of selection-migration models in population genetics
- Variational methods for indefinite superlinear homogeneous elliptic problems
- The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
- Multiple positive solutions for a superlinear problem: a topological approach
- High multiplicity and complexity of the bifurcation diagrams of large solutions for a class of superlinear indefinite problems
- Indefinite weight nonlinear problems with Neumann boundary conditions
- Tutorials in mathematical biosciences IV. Evolution and ecology. Tutorials presented at the Mathematical Bioscience Institute (MBI) in the years 2005--2006
- Multiple positive solutions of superlinear elliptic problems with sign-changing weight
- Generating an arbitrarily large number of isolas in a superlinear indefinite problem
- Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super–sublinear case
- Intricate dynamics caused by facilitation in competitive environments within polluted habitat patches
- Metasolutions of Parabolic Equations in Population Dynamics
- On a nonlinear elliptic eigenvalue problem with neumann boundary conditions, with an application to population genetics
- Remarks on sublinear elliptic equations
- On some linear and nonlinear eigenvalue problems with an indefinite weight function
- On the existence of postive solutions for some indefinite superlinear elliptic problems
- Spatial Ecology via Reaction‐Diffusion Equations
- Positive Solutions to Indefinite Problems
- Positive solutions for super-sublinear indefinite problems: High multiplicity results via coincidence degree
- A Seven-Positive-Solutions Theorem for a Superlinear Problem
- Pairs of Nodal Solutions for a Class of Nonlinear Problems with One-sided Growth Conditions
- Varying bifurcation diagrams of positive solutions for a class of indefinite superlinear boundary value problems
