Multiplicity results for elliptic problems with super-critical concave and convex nonlinearties

DOI10.1007/S00526-018-1333-YzbMath1392.35096arXiv1706.08385OpenAlexW2963602120MaRDI QIDQ1751594

Abbas Moameni, Najmeh Kouhestani

Publication date: 25 May 2018

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

Full work available at URL: https://arxiv.org/abs/1706.08385

zbMATH Keywords

Dirichlet problemsemilinear equationLaplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Semilinear elliptic equations (35J61)

Related Items (17)

Existence of solutions for nonlocal supercritical elliptic problems ⋮ Supercritical problems via a fixed point argument on the cone of monotonic functions ⋮ Multiplicity results for a non-local problem with concave and convex nonlinearities ⋮ Mixed local and nonlocal supercritical Dirichlet problems ⋮ Positive solutions of nonlinear elliptic equations involving supercritical Sobolev exponents without Ambrosetti and Rabinowitz condition ⋮ Critical point theory on convex subsets with applications in differential equations and analysis ⋮ Existence of solutions for supercritical \((p, 2)\)-Laplace equations ⋮ Super-critical Neumann problems on unbounded domains ⋮ Existence of solutions for a non-homogeneous Neumann problem ⋮ A limiting problem for local/non-local \(p\)-Laplacians with concave-convex nonlinearities ⋮ A note on the existence results for Schrödinger-Maxwell system with super-critical nonlinearity ⋮ Global multiplicity of solutions for a quasilinear elliptic equation with concave and convex nonlinearities ⋮ An existence result for super-critical problems involving the fractional \(p\)-Laplacian in \(\mathbb{R}^N\) ⋮ Supercritical problems with concave and convex nonlinearities in ℝN ⋮ Supercritical elliptic problems on nonradial domains via a nonsmooth variational approach ⋮ Existence of solutions to fractional elliptic equation with the Hardy potential and concave-convex nonlinearities ⋮ EXISTENCE OF 3-WEAK SOLUTIONS FOR A NEW CLASS OF AN OVERDETERMINED SYSTEM OF FRACTIONAL PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS

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