Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional \(p\)-Laplacian
From MaRDI portal
Publication:949736
DOI10.1016/j.na.2007.09.002zbMath1157.34010OpenAlexW2032068261MaRDI QIDQ949736
Publication date: 21 October 2008
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/j.na.2007.09.002
two-point boundary value problemsshooting methodhalf-linear differential equationsone-dimensional \(p\)-Laplacian
Related Items (13)
Positive solutions of a second-order nonlinear Robin problem involving the first-order derivative ⋮ Global structure of nodal solutions for second-order \(m\)-point boundary value problems with superlinear nonlinearities ⋮ Some nodal properties for a quasilinear differential equation involving the \(p\)-Laplacian ⋮ Morse index and symmetry-breaking for positive solutions of one-dimensional Hénon type equations ⋮ Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight: \(p\)-superlinear at \(\infty \) ⋮ On the existence of sign-changing radial solutions to nonlinear \(p\)-Laplacian equations in \(\mathbb R^n\) ⋮ Existence of solutions for a multi-point boundary value problem with a \(p(r)\)-Laplacian ⋮ Unilateral global bifurcation for \(p\)-Laplacian with singular weight ⋮ EXISTENCE OF SIGN-CHANGING SOLUTIONS FOR THE NONLINEAR p-LAPLACIAN BOUNDARY VALUE PROBLEM ⋮ Qualitative Properties and Existence of Sign Changing Solutions with Compact Support for an Equation with a p-Laplace Operator ⋮ An identity for a quasilinear ODE and its applications to the uniqueness of solutions of BVPs ⋮ Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \) ⋮ Asymptotic forms of solutions of perturbed half-linear ordinary differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global bifurcation phenomena for singular one-dimensional \(p\)-Laplacian
- A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
- Radial solutions of equations and inequalities involving the \(p\)-Laplacian
- On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations.
- Twin positive solutions for the one-dimensional \(p\)-Laplacian boundary value problems.
- Nonuniform nonresonance of semilinear differential equations
- Sturm-Liouville eigenvalue problems for half-linear ordinary differential equations
- Eigenvalues and the one-dimensional \(p\)-Laplacian
- Nodal solutions for nonlinear eigenvalue problems
- Multiplicity results for second-order two-point boundary value problems with superlinear or sublinear nonlinearities
- On a class of second order quasilinear ordinary differential equations
- Existence results of sign-changing solutions for singular one-dimensional \(p\)-Laplacian problems
- A note on bifurcation from an interval
- Positive solutions for one-dimensional \(p\)-Laplacian boundary value problems with dependence on the first order derivative
- Multiplicity of solutions for a class of nonlinear second-order equations
- Time-mappings and multiplicity of solutions for the one-dimensional p-Laplacian
- The existence of positive solutions for the one-dimensional $p$-Laplacian
- Sturmian comparison theorem for half-linear second-order differential equations
- Existence theorems for second order boundary value problems
- Positive solutions for the one-dimensional \(p\)-Laplacian
- Necessary and sufficient condition for existence and uniqueness of nodal solutions to sublinear elliptic equations
This page was built for publication: Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional \(p\)-Laplacian
