Effect of the domain geometry on the existence of multipeak solutions for an elliptic problem
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Publication:1577634
DOI10.12775/TMNA.1999.020zbMath0958.35054OpenAlexW2546654582MaRDI QIDQ1577634
Publication date: 27 August 2000
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.12775/tmna.1999.020
Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)
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Boundary blow up solutions with a spike layer ⋮ Stable and finite Morse index solutions on 𝐑ⁿ or on bounded domains with small diffusion ⋮ Unnamed Item ⋮ On the existence of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds ⋮ Normalized multi-peak solutions to nonlinear elliptic problems ⋮ Multipeak solutions for an elliptic system of Fitzhugh-Nagumo type ⋮ Uniqueness of single-peaked solutions to singularity perturbed semilinear Dirichlet problems ⋮ SOLUTIONS WITH MULTIPLE ALTERNATE SIGN PEAKS ALONG A BOUNDARY GEODESIC TO A SEMILINEAR DIRICHLET PROBLEM ⋮ Nonexistence of multi-bubble solutions to some elliptic equations on convex domains ⋮ Nodal solutions for some singularly perturbed Dirichlet problems ⋮ Peak solutions without non-degeneracy conditions ⋮ Pointwise Blow-Up Phenomena for a Dirichlet Problem ⋮ A new type of concentration solutions for a singularly perturbed elliptic problem
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