Exact multiplicity for degenerate two-point boundary value problems with \(p\)-convex nonlinearity
From MaRDI portal
Publication:1863623
DOI10.1016/S0362-546X(02)00268-7zbMath1028.34024OpenAlexW2085371211MaRDI QIDQ1863623
Peter L. Simon, János Karátson
Publication date: 11 March 2003
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(02)00268-7
dead coretime-mapbifurcation diagram of positive solutionsdegenerate two-point boundary value problemsp-convex nonlinearity
Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)
Related Items
Exact multiplicity results for a class of two-point boundary value problems ⋮ Positive solutions of the one-dimensional \(p\)-Laplacian with nonlinearity defined on a finite interval ⋮ The positive solutions of boundary value problems for a class of one-dimensional \(p\)-Laplacians ⋮ Uniqueness results for the one-dimensional \(p\)-Laplacian ⋮ Exact number of positive solutions for semipositone problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
- The theory of forced, convex, autonomous, two point boundary value problems
- On the half-linear second order differential equations
- On the monotonicity of the time-map
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Global bifurcation of steady-state solutions
- Symmetry and related properties via the maximum principle
- Global solution branches of two point boundary value problems
- Exact multiplicity results for two classes of boundary value problems
- Instability of nonnegative solutions for a class of semilinear elliptic boundary value problems
- On the linearized stability of positive solutions of quasilinear problems with \(p\)-convex or \(p\)-concave nonlinearity.
- Multiplicity results for some nonlinear elliptic equations
- Quasilinear Dirichlet problems driven by positive sources
- Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II
- Bifurcation Phenomena Associated to the p-Laplace Operator
- Remarks on sublinear elliptic equations
- Positive solutions of elliptic equations involving supercritical growth
- Positive solutions for a concave semipositone Dirichlet problem
- Time-mappings and multiplicity of solutions for the one-dimensional p-Laplacian
- Positive solution curves of semipositone problems with concave nonlinearities
- Global bifurcation and continua of nonnegative solutions for a quasilinear elliptic problem
- On certain second order ordinary differential equations associated with Sobolev-Poincaré-type inequalities
- Uniqueness of solutions of nonlinear Dirichlet problems
- On the stability properties of nonnegative solutions of semilinear problems with convex or concave nonlinearity
