Existence and multiplicity of positive solutions for singular quasilinear problems
From MaRDI portal
Publication:855439
DOI10.1016/j.jmaa.2005.11.014zbMath1168.35358OpenAlexW2051999113MaRDI QIDQ855439
Elves A. B. Silva, Perera, Kanishka
Publication date: 7 December 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.014
Variational methods involving nonlinear operators (47J30) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- Classical and weak solutions of a singular semilinear elliptic problem
- Existence theorems for the one-dimensional singular \(p\)-Laplacian equation with sign changing nonlinearities
- \(W^{1,p}\) versus \(C^1\) local minimizers and multiplicity results for quasilinear elliptic equations.
- Critical points and positive solutions of singular elliptic boundary value problems
- Entire solutions of singular elliptic equations
- Dual variational methods in critical point theory and applications
- A strong maximum principle for some quasilinear elliptic equations
- On singular semilinear elliptic equations
- Multiple positive solutions of singular \(p\)-Laplacian problems by variational methods
- On a singular nonlinear dirichlet problem
- A degenerate diffusion equation with a nonlinear source term
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- An elliptic equation with singular nonlinearity
- A global estimate for the gradient in a singular elliptic boundary value problem
- On a dirichlet problem with a singular nonlinearity
- On a singular nonlinear semilinear elliptic problem
- Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.