MULTIBUMP SOLUTIONS FOR AN ELLIPTIC PROBLEM IN EXPANDING DOMAINS

DOI10.1081/PDE-120002782zbMath1011.35059OpenAlexW2011493586MaRDI QIDQ4532824

Shusen Yan, E. Norman Dancer

Publication date: 2 July 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120002782

zbMATH Keywords

convex domainlocal maximum

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (15)

Multi-bump solutions for nonlinear elliptic equations involving critical Sobolev exponents ⋮ Multiple sign-changing solutions for superlinear \((p,q)\)-equations in symmetrical expanding domains ⋮ Existence of clustering high dimensional bump solutions of superlinear elliptic problems on expanding annuli ⋮ Self-focusing multibump standing waves in expanding waveguides ⋮ A computer-assisted existence proof for Emden's equation on an unbounded L-shaped domain ⋮ Solutions of semilinear elliptic equations in tubes ⋮ Asymptotically radial solutions in expanding annular domains ⋮ On elliptic systems with Sobolev critical growth ⋮ Multi-bump positive solutions for a nonlinear elliptic problem in expanding tubular domains ⋮ Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains ⋮ Multiple positive solutions of the Emden-Fowler equation in hollow thin symmetric domains ⋮ Partly clustering solutions of nonlinear Schrödinger systems with mixed interactions ⋮ Asymptotically radial solutions to an elliptic problem on expanding annular domains in Riemannian manifolds with radial symmetry ⋮ Alternating Sign Multibump Solutions of Nonlinear Elliptic Equations in Expanding Tubular Domains ⋮ On elliptic systems with Sobolev critical exponent

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