Ground state solution to the biharmonic equation
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Publication:825027
DOI10.1007/s00033-021-01643-2zbMath1480.35144OpenAlexW3214901946MaRDI QIDQ825027
Publication date: 17 December 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01643-2
Variational methods applied to PDEs (35A15) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30)
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Cites Work
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- Existence and multiplicity of nontrivial solutions for some biharmonic equations with \(p\)-Laplacian
- Entire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials
- Infinitely many solutions for fourth-order elliptic equations
- Absolute continuity of the best Sobolev constant
- Nonlinear critical problems for the biharmonic operator with Hardy potential
- Existence of nontrivial solutions for a biharmonic equation with \(p\)-Laplacian and singular sign-changing potential
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Ground-state solution for a class of biharmonic equations including critical exponent
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- On the existence of nontrivial solutions for \(p\)-harmonic equations on unbounded domains
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- On some fourth-order semilinear elliptic problems in \(\mathbb R^N\)
- Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent
- On a \(p(x)\)-biharmonic problem with singular weights
- On a class of singular biharmonic problems involving critical exponents.
- Best constants for Sobolev inequalities for higher order fractional derivatives
- On the inhomogeneous biharmonic nonlinear Schrödinger equation: local, global and stability results
- Radial symmetry of entire solutions of a biharmonic equation with supercritical exponent
- Critical behavior for the polyharmonic operator with Hardy potential
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Critical exponents, critical dimensions and the biharmonic operator
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Semilinear Elliptic Equation with Biharmonic Operator and Multiple Critical Nonlinearities
- Positive solutions of a fourth-order semilinear problem involving critical growth
- Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
