Multiple solutions for a Neumann problem involving the \(p(x)\)-Laplacian
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Publication:838044
DOI10.1016/j.na.2009.03.009zbMath1167.35381OpenAlexW1991456535MaRDI QIDQ838044
Filippo Cammaroto, Antonia Chinnì, Beatrice Di Bella
Publication date: 21 August 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.03.009
Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)
Related Items (21)
On a \(p(x)\)-biharmonic problem with Navier boundary condition ⋮ Multiplicity results for elliptic problems with variable exponent and nonhomogeneous Neumann conditions ⋮ On the Steklov problem involving the p(x)-Laplacian with indefinite weight ⋮ Unnamed Item ⋮ Three solutions for a nonlinear Neumann boundary value problem ⋮ Existence results for a Neumann problem involving the \(p(x)\)-Laplacian with discontinuous nonlinearities ⋮ A critical \(p(x)\)-Laplacian Steklov type problem with weights ⋮ Existence of weak solutions for second-order boundary-value problems of Kirchhoff-type with variable exponents ⋮ Multiplicity results for a differential inclusion problem with non-standard growth ⋮ Infinitely many weak solutions forp(x)-Laplacian-like problems with Neumann condition ⋮ Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions ⋮ A boundary value problem associated to non-homogeneous operators in Orlicz-Sobolev spaces ⋮ Three solutions for a perturbed Navier problem ⋮ Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent ⋮ Unnamed Item ⋮ Existence results for second-order boundary-value problems with variable exponents ⋮ Multiple solutions for elliptic \((p(x), q(x))\)-Kirchhoff-type potential systems in unbounded domains ⋮ Existence results for Steklov problem involving thep(x)-Laplace operator ⋮ Multiple solutions for a class of Neumann doubly eigenvalue boundary value systems involving the \((p_1(x),\dots,p_n(x))\)-Laplacian ⋮ Existence of solutions for nonlocal elliptic systems involving \(p(x)\)-Laplace operator ⋮ Existence results of infinitely many solutions forp(x)-Laplacian elliptic Dirichlet problems
Cites Work
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- Some multiplicity results for quasilinear Neumann problems
- A three critical points theorem revisited
- Some remarks on a three critical points theorem
- On a three critical points theorem
- Existence and multiplicity of solutions for a Neumann problem involving the \(p(x)\)-Laplace operator
- A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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