Existence and multiplicity of positive solutions for a fourth-order elliptic equation
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Publication:5221053
DOI10.1017/prm.2018.145zbMath1437.35387OpenAlexW2911616720MaRDI QIDQ5221053
Marcelo F. Furtado, Giovany M. Figueiredo, João Pablo P. da Silva
Publication date: 27 March 2020
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/prm.2018.145
Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (2)
Fourth-order elliptic problems involving concave-superlinear nonlinearities ⋮ Existence of nontrivial solutions for modified nonlinear fourth-order elliptic equations with indefinite potential
Cites Work
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- A fourth-order equation with critical growth: the effect of the domain topology
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Symmetry properties in systems of semilinear elliptic equations
- On a class of nonlinear Schrödinger equations
- Existence and nonexistence results for critical growth biharmonic elliptic equations
- Elliptic partial differential equations of second order
- Multiplicity of positive solutions to a \(p\)-Laplacian equation involving critical nonlinearity.
- Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order
- Minimax theorems
- Positive solutions to a fourth-order elliptic problem by the Lusternik-Schnirelmann category
- Best constant for the embedding of the space \(H^ 2\cap H^ 1_ 0(\Omega)\) into \(L^{2N/(N-4)}\Omega\)
- Critical exponents and critical dimensions of polyharmonic operators
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- A multiplicity result for a variational problem with lack of compactness
- A rellich type identity and applications
- Multiplicity of nontrivial solutions to a biharmonic equation via Lusternik–Schnirelman theory
- Ground state and non-ground state solutions of some strongly coupled elliptic systems
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