Finite Morse index steady states of van der Waals force driven thin film equations
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Publication:973984
DOI10.1016/j.jmaa.2010.04.012zbMath1193.35064OpenAlexW2033361701MaRDI QIDQ973984
Publication date: 26 May 2010
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.2010.04.012
Stability in context of PDEs (35B35) Thin films (74K35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)
Related Items (3)
Boundary value problems for a semilinear elliptic equation with singular nonlinearity ⋮ A perturbed fourth order elliptic equation with negative exponent ⋮ On the nonexistence of stable solutions of sub-elliptic systems with negative exponents
Cites Work
- Unnamed Item
- Unnamed Item
- On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
- Existence of singular positive solutions for some semilinear elliptic equations
- Positive solutions of an elliptic equation with negative exponent: stability and critical power
- Zero set of Sobolev functions with negative power of integrability
- On the Cauchy problem for a reaction-diffusion equation with a singular nonlinearity
- Properties of positive solutions to an elliptic equation with negative exponent
- Hausdorff dimension of ruptures for solutions of a semilinear elliptic equation with singular nonlinearity
- An improved Hardy-Sobolev inequality and its application
- Mathematical Modeling of Electrostatic MEMS with Tailored Dielectric Properties
- Analysis of the Dynamics and Touchdown in a Model of Electrostatic MEMS
- Infinitely many turning points for an elliptic problem with a singular non-linearity
- Finite Morse index solutions of supercritical problems
- On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case
- Nonlinear stability of evaporating/condensing liquid films
- Stable and finite Morse Index solutions on R^n or on bounded domains with small diffusion II
- Stable and finite Morse index solutions on 𝐑ⁿ or on bounded domains with small diffusion
- On steady states of van der Waals force driven thin film equations
- Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinearity
- Nonlinear non-local elliptic equation modelling electrostatic actuation
- Symmetry of non-negative solutions of a semilinear elliptic equation with singular nonlinearity
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