Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators
From MaRDI portal
Publication:2806530
DOI10.7494/OpMath.2016.36.2.253zbMath1339.35130MaRDI QIDQ2806530
Publication date: 18 May 2016
Published in: Opuscula Mathematica (Search for Journal in Brave)
Boundary value problems for higher-order elliptic equations (35J40) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
Related Items (19)
On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\) ⋮ Symmetric positive solutions for fourth-order \(n\)-dimensional \(m\)-Laplace systems ⋮ On a Kirchhoff singular \(p(x)\)-biharmonic problem with Navier boundary conditions ⋮ Multiple solutions for nonlocal elliptic problems driven by \(p(x)\)-biharmonic operator ⋮ Existence of one weak solution for \(p(x)\)-biharmonic equations with Navier boundary conditions ⋮ On the Steklov problem involving the p(x)-Laplacian with indefinite weight ⋮ On principal eigenvalues of biharmonic systems ⋮ On the fourth-order Leray–Lions problem with indefinite weight and nonstandard growth conditions ⋮ On the existence of a weak solution for some singular \(p(x)\)-biharmonic equation with Navier boundary conditions ⋮ Multiple solutions for a fourth-order elliptic equation involving singularity ⋮ Existence of three weak solutions for fourth-order Leray–Lions problem with indefinite weights ⋮ Existence of two non-zero weak solutions for a \(p(\cdot)\)-biharmonic problem with Navier boundary conditions ⋮ Uniqueness of weak solutions for a biharmonic problem ⋮ Unnamed Item ⋮ Weak solutions for nonlinear Neumann boundary value problems with \(p(x)\)-Laplacian operators ⋮ A Kirchhoff \(p(x)\)-biharmonic problem involving singular nonlinearities and Navier boundary conditions ⋮ Existence of two non-zero weak solutions for a nonlinear Navier boundary value problem involving the \(p\)-biharmonic ⋮ Critical points approaches to a nonlocal elliptic problem driven by \(p(x)\)-biharmonic operator ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Estimates of the principal eigenvalue of the \(p\)-biharmonic operator
- Existence and multiplicity of solutions for a class of fourth-order elliptic equations in \(R^N\)
- Oscillatory radial solutions for subcritical biharmonic equations
- On the spectrum of a fourth order elliptic equation with variable exponent
- Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces
- On a fourth order elliptic problem with a \(p(x)\)-biharmonic operator
- 𝑝(𝑥)-Laplacian with indefinite weight
- A biharmonic equation with singular nonlinearity
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- Eigenvalues for a fourth order elliptic problem
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: Multiple solutions for fourth order elliptic problems with p(x)-biharmonic operators
