A variational approach to the Fredholm alternative for the \(p\)-Laplacian near the first eigenvalue
From MaRDI portal
Publication:852024
DOI10.1007/s10884-006-9017-2zbMath1207.35170OpenAlexW2025820768MaRDI QIDQ852024
Publication date: 27 November 2006
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-006-9017-2
Fredholm alternativeminimax principleglobal minimizerNonlinear eigenvalue problemdegenerate or singular quasi-linear Dirichlet problem
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Existence of solutions for minimax problems (49J35) Analyticity in context of PDEs (35A20) Weak solutions to PDEs (35D30) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
The Fredholm alternative for the \(p\)-Laplacian in exterior domains ⋮ On the Fredholm alternative for the \(p\)-Laplacian at higher eigenvalues (in one dimension) ⋮ Dirichlet problems with singular and superlinear terms ⋮ Dirichlet problems for the \(p\)-Laplacian with a convection term ⋮ Combined effects of singular and sublinear nonlinearities in some elliptic problems ⋮ Maximum and anti-maximum principle for the fractional \(p\)-Laplacian with indefinite weights ⋮ Perturbation of the \(p\)-Laplacian by vanishing nonlinearities (in one dimension) ⋮ Non-resonant Fredholm alternative and anti-maximum principle for the fractional \(p\)-Laplacian
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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 \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
- Regularity for a more general class of quasilinear equations
- Existence and localization of solution for second order elliptic BVP in presence of lower and upper solutions without any order
- The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian
- An improved Poincaré inequality and the \(p\)-Laplacian at resonance for \(p>2\)
- On the number and structure of solutions for a Fredholm alternative with the \(p\)-Laplacian.
- Bounded perturbations of homogeneous quasilinear operators using bifurcations from infinity
- A strong maximum principle for some quasilinear elliptic equations
- On the Fredholm Alternative for the p -Laplacian in One Dimension
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- On The Dirichletproblem for Quasilinear Equations
- Boundary regularity for solutions of degenerate elliptic equations
- Nonexistence of Solutions and an Anti-Maximum Principle for Cooperative Systems with thep-Laplacian
- On the Fredholm alternative for the p-Laplacian at the first eigenvalue
- The Fredholm alternative for the p-Laplacian: Bifurcation from infinity, existence and multiplicity
- A strong comparison principle for positive solutions of degenerate elliptic equations
- Generic Fredholm alternative-type results for the one dimensional \(p\)-Laplacian.
- Fredholm alternative for the \(p\)-Laplacian in higher dimensions
