Positive solutions of nonlinear elliptic equations involving supercritical Sobolev exponents without Ambrosetti and Rabinowitz condition

DOI10.1007/s00526-020-01800-xzbMath1448.35245OpenAlexW3049334056MaRDI QIDQ2192950

Luiz F. O. Faria, Jéssyca L. F. Melo Gurjão, Anderson Luis A. de Araujo

Publication date: 21 August 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-020-01800-x

zbMATH Keywords

Dirichlet problemsemilinear elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (6)

Existence of solution for a supercritical nonlinear Schrödinger equation ⋮ Existence of solution for elliptic equations with supercritical Trudinger–Moser growth ⋮ A new perturbation to a critical elliptic problem with a variable exponent ⋮ Solution for a generalized Schrödinger-Poisson system involving both singular and general nonlinearities ⋮ Unnamed Item ⋮ Existence of solutions to fractional elliptic equation with the Hardy potential and concave-convex nonlinearities

Uses Software

• OpenCourseWare

Cites Work

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• Multiplicity results for elliptic problems with super-critical concave and convex nonlinearties
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• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
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• Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\)
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