Sign‐changing solutions for a nonhomogeneous Paneitz‐type problem
Copyright policy )Sign‐changing solutions for a nonhomogeneous Paneitz‐type problem
AbstractWe consider the problemwhere Ω is a bounded smooth domain in , , that exhibits certain symmetries and contains the origin, , , , and is a small parameter. By using the Lyapunov–Schmidt reduction method and topological degree theory, for each sufficiently large , we construct sign‐changing solutions to exhibitingknegative spikes at the vertices of a regular polygon and a single positive spike at the origin.
critical exponent, Boundary value problems for higher-order elliptic equations, existence of sign-changing solutions, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, Existence problems for PDEs: global existence, local existence, non-existence, semilinear equation with bi-Laplacian, Critical exponents in context of PDEs
critical exponent, Boundary value problems for higher-order elliptic equations, existence of sign-changing solutions, Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian, Existence problems for PDEs: global existence, local existence, non-existence, semilinear equation with bi-Laplacian, Critical exponents in context of PDEs
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