Critical points and positive solutions of singular elliptic boundary value problems
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Publication:1763812
DOI10.1016/J.JMAA.2004.08.016zbMath1161.35403OpenAlexW1976511421MaRDI QIDQ1763812
Publication date: 22 February 2005
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.2004.08.016
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)
Related Items (25)
Existence and multiplicity of positive solutions for singular quasilinear problems ⋮ Singular elliptic problems: existence, non-existence and boundary behavior ⋮ Combined effects of singular and critical nonlinearities in elliptic problems ⋮ Existence and multiplicity of positive solutions for Neumann problems involving singularity and critical growth ⋮ Positive radial solutions for a class of quasilinear boundary value problems in a ball ⋮ Nonlinear elliptic equations with singular terms and combined nonlinearities ⋮ Singular equation with positive solution based on the perturbation of domains method ⋮ The exact boundary behavior of solutions to singular nonlinear Lane-Emden-Fowler type boundary value problems ⋮ The existence and non-existence of positive solutions to a singular quasilinear elliptic problem in \(\mathbb R^N\) ⋮ Three solutions for a class of higher dimensional singular problems ⋮ Existence of weak positive solution for a singular elliptic problem with supercritical nonlinearity ⋮ Existence of Solutions of a Class of Nonlinear Singular Equations in Lorentz Spaces ⋮ Soliton solutions for a singular Schrödinger equation with any growth exponents ⋮ Solving a singular system of two nonlinear ODEs ⋮ The existence of three positive solutions of a singular \(p\)-Laplacian problem ⋮ Pairs of positive solutions for singular \(p\)-Laplacian equations with a \(p\)-superlinear potential ⋮ On the structure of positive solutions to an elliptic problem arising in thin film equations ⋮ Existence results for some anisotropic singular problems via sub-supersolutions ⋮ On a singular semilinear elliptic problem with an asymptotically linear nonlinearity ⋮ An existence theorem for a perturbed singular elliptic problem ⋮ Existence and uniqueness of weak positive solution for essential singular elliptic problem involving the square root of the Laplacian ⋮ Three Solutions for a Singular Quasilinear Elliptic Problem ⋮ Unnamed Item ⋮ A variational approach to singular quasilinear elliptic problems with sign changing nonlinearities ⋮ A comparison principle and applications to asymptotically \(p\)-linear boundary value problems
Cites Work
- Unnamed Item
- Critical point theory and Hamiltonian systems
- Remarks on multiple solutions for asymptotically linear elliptic boundary value problems
- Classical and weak solutions of a singular semilinear elliptic problem
- Sign-changing and multiple solutions theorems for semilinear elliptic boundary value problems with jumping nonlinearities
- Multiple solutions theorems for semilinear elliptic boundary value problems with resonance at infinity
- Fucik spectrum, sign-changing, and multiple solutions for semilinear elliptic boundary-value problems with resonance at inifinity
- Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero
- Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity.
- Infinite dimensional Morse theory and multiple solution problems
- On singular semilinear elliptic equations
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.
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