Bounded perturbations of homogeneous quasilinear operators using bifurcations from infinity
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Publication:1888317
DOI10.1016/j.jde.2003.09.011zbMath1111.35009OpenAlexW2052116413MaRDI QIDQ1888317
Petr Girg, Pavel Drábek, Peter Takáč
Publication date: 23 November 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2003.09.011
Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)
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Cites Work
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- Regularity for a more general class of quasilinear equations
- Ranges of nonlinear asymptotically linear operators
- Boundary value problems with bounded nonlinearity and general null-space of the linear part
- A remark on the preceding paper of Fucik and Krbec
- On a quasilinear problem at strong resonance
- Resonance problems for the \(p\)-Laplacian
- A strong maximum principle for some quasilinear elliptic equations
- Approximation methods and the generalized topological degree for nonlinear mappings in Banach spaces
- A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem
- BIFURCATION THEORY AND RELATED PROBLEMS: ANTI-MAXIMUM PRINCIPLE AND RESONANCE1*
- Landesman-lazer conditions and quasilinear elliptic equations
- On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
- Strongly nonlinear elliptic problems near resonance: a variational approach
- 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
- Nonlinear perturbations of linear operators having nullspace with strong unique continuation property
- 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
