On the effect of the domain geometry on the existence of sign changing solutions to elliptic problems with critical and supercritical growth
From MaRDI portal
Publication:4812570
DOI10.1088/0951-7715/17/3/007zbMath1102.35042OpenAlexW2159083666MaRDI QIDQ4812570
Angela Pistoia, Anna Maria Micheletti
Publication date: 23 August 2004
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/ddd811de9d262e13cc26ec773a8b1ab02ba779eb
Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25)
Related Items (14)
New multiplicity results for critical \(p\)-Laplacian problems ⋮ Supercritical elliptic problems in domains with small holes ⋮ Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains ⋮ The Brézis-Nirenberg type problem for the \(p\)-Laplacian: infinitely many sign-changing solutions ⋮ Infinitely many positive solutions for an elliptic problem with critical or supercritical growth ⋮ Fast and slow decay solutions for supercritical elliptic problems in exterior domains ⋮ Existence and nonexistence of sign-changing solutions to elliptic critical equations ⋮ A new kind of blowing-up solutions for the Brezis-Nirenberg problem ⋮ Spiked solutions for Schrödinger systems with Sobolev critical exponent: the cases of competitive and weakly cooperative interactions ⋮ Sign-changing tower of bubbles for the Brezis–Nirenberg problem ⋮ Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains ⋮ On the existence and the profile of nodal solutions of elliptic equations involving critical growth ⋮ The fractional Brezis-Nirenberg problems on lower dimensions ⋮ Sign changing bubble tower solutions in a slightly subcritical semilinear Dirichlet problem
This page was built for publication: On the effect of the domain geometry on the existence of sign changing solutions to elliptic problems with critical and supercritical growth