Multiple solutions for a fourth-order elliptic equation involving singularity
From MaRDI portal
Publication:5025500
DOI10.22034/cmde.2020.34709.1584zbMath1499.35231OpenAlexW3082836924MaRDI QIDQ5025500
Khanghahi Reza Mahdavi, Abdolrahman Razani
Publication date: 2 February 2022
Full work available at URL: https://cmde.tabrizu.ac.ir/article_10936_9dd71b38fdf9ba8c297e4a697067cedf.pdf
variational methodscritical point theorysingular nonlinear boundary value problemshigher-order elliptic equations
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Variational methods for higher-order elliptic equations (35J35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of two weak solutions for some singular elliptic problems
- Existence and multiplicity of solutions for a class of \(p(x)\)-biharmonic equations
- Infinitely many solutions for \(p\)-harmonic equation with singular term
- Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent
- Multiple and sign-changing solutions for a class of semilinear biharmonic equation
- A simple approach to Hardy inequalities
- Existence of Chapman-Jouguet detonation for a viscous combustion model
- Weak and strong detonation profiles for a qualitative model.
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Local behavior of singular positive solutions of semilinear elliptic equations with Sobolev exponent
- A fourth order singular elliptic problem involving \(p\)-biharmonic operator
- Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators
- Relations between the mountain pass theorem and local minima
- EXISTENCE OF THREE SOLUTIONS FOR A NAVIER BOUNDARY VALUE PROBLEM INVOLVING THE p(x)-BIHARMONIC
- Discontinuous elliptic problems involving the p(x)‐Laplacian
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- Chapman-Jouguet detonation profile for a qualitative model
- On the existence of premixed laminar flames
- Solutions for a singular elliptic problem involving the p(x)-Laplacian
- Infinitely many solutions for a fourth order singular elliptic problem
- On the structure of the critical set of non-differentiable functions with a weak compactness condition
- On the weak solutions of an overdetermined system of nonlinear fractional partial integro-differential equations
- Twoweak solutions for a singular (p,q)-Laplacian problem
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
- Lower semicontinuity of functionals via the concentration-compactness principle
