A critical \(p\)-biharmonic system with negative exponents
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Publication:2004600
DOI10.1016/j.camwa.2019.08.032zbMath1448.35182OpenAlexW2974323807MaRDI QIDQ2004600
Publication date: 7 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.08.032
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for higher-order elliptic systems (35J58)
Related Items (5)
On principal eigenvalues of biharmonic systems ⋮ Leray-Lions type \(p(x)\)-biharmonic equations involving Hardy potentials ⋮ Unnamed Item ⋮ Ground state solution of critical \(p\)-biharmonic equation involving Hardy potential ⋮ Existence of solution to a nonlocal biharmonic problem with dependence on gradient and Laplacian
Cites Work
- Unnamed Item
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- Existence of solutions for a class of biharmonic equations with critical nonlinearity in \(\mathbb R^N\)
- Multiple solutions for a Navier boundary value problem involving the \(p\)--biharmonic operator
- Infinitely many solutions for a perturbed nonlinear Navier boundary value problem involving the \(p\)-biharmonic
- Entire solutions for a class of elliptic equations involving \(p\)-biharmonic operator and Rellich potentials
- Nonlinear critical problems for the biharmonic operator with Hardy potential
- An exact estimate result for a class of singular equations with critical exponents
- Positive solutions of semilinear biharmonic equations with critical Sobolev exponents
- A note on nonlinear biharmonic equations with negative exponents
- The critical dimension for a fourth-order elliptic problem with singular nonlinearity
- On a class of boundary value problems involving the \(p\)-biharmonic operator
- Existence of three solutions for \((p, q)\)-biharmonic systems
- Best constant in Sobolev inequality
- Existence and nonexistence results for critical growth biharmonic elliptic equations
- On systems of elliptic equations involving subcritical or critical Sobolev exponents
- Stability for entire radial solutions to the biharmonic equation with negative exponents
- Multiplicity of solutions for \(p\)-biharmonic problems with critical growth
- Biharmonic systems involving multiple Rellich-type potentials and critical Rellich-Sobolev nonlinearities
- Some existence results of bounded variation solutions to 1-biharmonic problems
- Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order
- On a \(p(\cdot)\)-biharmonic problem with no-flux boundary condition
- Positive radial solutions for quasilinear biharmonic equations
- Asymptotic behavior and existence results for the biharmonic problems involving Rellich potentials
- Sign-changing solutions for \(p\)-biharmonic equations with Hardy potential
- On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\)
- Spectra of fourth-order quasilinear problems
- Asymptotics for the principal eigenvalue of the \(p\)-biharmonic operator on the ball as \(p\) approaches 1
- The regularity and stability of solutions to semilinear fourth-order elliptic problems with negative exponents
- Remarks on Entire Solutions for Two Fourth-Order Elliptic Problems
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- On a Fourth Order Elliptic Problem with a Singular Nonlinearity
- Multiple solutions ofp-biharmonic equations with Navier boundary conditions
- Nonlinear non-local elliptic equation modelling electrostatic actuation
- On the p-biharmonic equation involving concave-convex nonlinearities and sign-changing weight function
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