Multiplicity of solutions of the Dirichlet problem for an equation with the $p$-Laplacian in a three-dimensional spherical layer
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Publication:3013554
DOI10.1090/S1061-0022-2011-01154-9zbMath1219.35116OpenAlexW2001831134MaRDI QIDQ3013554
Publication date: 18 July 2011
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s1061-0022-2011-01154-9
Related Items (6)
The multiplicity of positive solutions to a quasilinear equation generated by the Il'in-Caffarelli-Cohn-Nirenberg inequality ⋮ Multiplicity of positive solutions for a critical quasilinear Neumann problem ⋮ Multiplicity of positive solutions to the boundary-value problems for fractional Laplacians ⋮ Second-order derivative of domain-dependent functionals along Nehari manifold trajectories ⋮ Multiplicity of solutions to the quasilinear Neumann problem in the 3-dimensional case ⋮ On qualitative properties of solutions for elliptic problems with thep-Laplacian through domain perturbations
Cites Work
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- The principle of symmetric criticality
- A nonlinear boundary value problem with many positive solutions
- Existence of many nonequivalent nonradial positive solutions of semilinear elliptic equations on three-dimensional annuli
- Existence of many positive solutions of semilinear equations on annulus
- On solutions to the Dirichlet problem for an equation with 𝑝-Laplacian in a spherical layer
- On harnack type inequalities and their application to quasilinear elliptic equations
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