A fourth order singular elliptic problem involving \(p\)-biharmonic operator
From MaRDI portal
Publication:2422624
DOI10.11650/tjm/180906zbMath1418.35123OpenAlexW2894414306MaRDI QIDQ2422624
Abdolrahman Razani, Moloud Makvand Chaharlang
Publication date: 20 June 2019
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.twjm/1537927424
Variational methods for elliptic systems (35J50) Higher-order elliptic equations (35J30) Singular elliptic equations (35J75)
Related Items
On a singular Kirchhoff type problems driven by p(⋅)-Laplacian operator ⋮ Existence of global solutions to a quasilinear Schrödinger equation with general nonlinear optimal control conditions ⋮ Existence of positive radial solution for Neumann problem on the Heisenberg group ⋮ Existence of a mountain pass solution for a nonlocal fractional \((p, q)\)-Laplacian problem ⋮ Multiple solutions for a class of nonlocal quasilinear elliptic systems in Orlicz-Sobolev spaces ⋮ A weak solution for a \((p(x),q(x))\)-Laplacian elliptic problem with a singular term ⋮ The sub-supersolution method for a nonhomogeneous elliptic equation involving Lebesgue generalized spaces ⋮ Existence of radial solutions for a weighted \(p\)-biharmonic problem with Navier boundary condition on the Heisenberg group ⋮ Existence and multiplicity of solutions for \(p(x)\)-Laplacian problem with Steklov boundary condition ⋮ Existence result for variable exponents elliptic system with lack of compactness ⋮ Multipleweak solutions for a kind of time-dependent equation involving singularity ⋮ Nonlinear nonhomogeneous Neumann problem on the Heisenberg group ⋮ A sequence of radially symmetric weak solutions for some nonlocal elliptic problem in \(\mathbb{R}^N\) ⋮ Multiple solutions for a fourth-order elliptic equation involving singularity ⋮ Existence of solutions for a quasilinear problem with fast nonlocal terms ⋮ Infinitely many high energy solutions for nonlocal fourth-order equation with sigh-changing potential ⋮ Solutions for a nonlocal elliptic system with general growth ⋮ A fourth order singular elliptic problem involving \(p\)-biharmonic operator ⋮ A class of biharmonic nonlocal quasilinear systems consisting of Leray-Lions type operators with Hardy potentials ⋮ Existence and concentration of solutions for a class of biharmonic Kirchhoff equations with discontinuous nonlinearity ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Infinitely many solutions for $(p(x),q(x))$-Laplacian-like systems ⋮ Negative energy solutions for a new fractional \(p(x)\)-Kirchhoff problem without the (AR) condition ⋮ On the oscillation criteria for fourth-order \(p\)-Laplacian differential equations with middle term ⋮ Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition ⋮ Multiplicity of weak positive solutions for fractional \(p\& q\) Laplacian problem with singular nonlinearity ⋮ The partial second boundary value problem of an anisotropic parabolic equation ⋮ Infinitely many solutions for nonlocal elliptic systems in Orlicz-Sobolev spaces ⋮ Twoweak solutions for a singular (p,q)-Laplacian problem ⋮ Existence and multiplicity of weak solutions for singular fourth-order elliptic systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence results for elliptic problems with Hardy potential
- Infinitely many solutions for a boundary value problem with discontinuous nonlinearities
- Explicit constants for Rellich inequalities in \(L_p(\Omega)\)
- Elliptic problems with critical exponents and Hardy potentials.
- A general variational principle and some of its applications
- A fourth order singular elliptic problem involving \(p\)-biharmonic operator
- Multiple solutions for elliptic problems with singular and sublinear potentials
- A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- Existence of solutions for singular critical growth semilinear elliptic equations