Existence of nontrivial solutions for a biharmonic equation with \(p\)-Laplacian and singular sign-changing potential
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Publication:504439
DOI10.1016/j.aml.2016.11.001zbMath1359.35045OpenAlexW2557188176MaRDI QIDQ504439
Publication date: 16 January 2017
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2016.11.001
Related Items (16)
Ground state solution to the biharmonic equation ⋮ The existence of nontrivial solution for a class of sublinear biharmonic equations with steep potential well ⋮ Two positive solutions for quasilinear elliptic equations with singularity and critical exponents ⋮ Multiplicity results involving \(p\)-biharmonic Kirchhoff-type problems ⋮ Existence of nontrivial solutions for a class of biharmonic equations with singular potential in \(\mathbb{R}^{N}\) ⋮ Existence and multiplicity of solutions for a singular problem involving the \(p\)-biharmonic operator in \(\mathbb{R}^N\) ⋮ On an elliptic Kirchhoff–Boussinesq type problems with exponential growth ⋮ Nonlinear perturbations of a periodic Kirchhoff-Boussinesq-type problems in \(\mathbb{R}^N\) ⋮ Multiple solutions for generalized biharmonic equations with singular potential and two parameters ⋮ Existence and concentration of a nonlinear biharmonic equation with sign-changing potentials and indefinite nonlinearity ⋮ Ground state solution of critical biharmonic equation with Hardy potential and \(p\)-Laplacian ⋮ Unnamed Item ⋮ The Nehari manifold of biharmonic equations with \(p\)-Laplacian and singular potential ⋮ Ground state solution of the thin film epitaxy equation ⋮ Radial solutions of a biharmonic equation with vanishing or singular radial potentials ⋮ Low perturbations of p-biharmonic equations with competing nonlinearities
Cites Work
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- Ground state solutions for an indefinite Kirchhoff type problem with steep potential well
- Nonlinear biharmonic equations with critical potential
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- Existence and multiplicity results for some superlinear elliptic problems on RN
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