Local superlinearity and sublinearity for indefinite semilinear elliptic problems.

From MaRDI portal
Publication:1874700

DOI10.1016/S0022-1236(02)00060-5zbMath1034.35042MaRDI QIDQ1874700

Djairo Guedes de Figueiredo, Pedro Ubilla, Jean Pierre Gossez

Publication date: 25 May 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)




Related Items (only showing first 100 items - show all)

Existence and multiplicity of solutions for Schrödinger-Kirchhoff type problems involving the fractional \(p(\cdot) \)-Laplacian in \(\mathbb{R}^N\)On the existence of positive solutions for a nonhomogeneous elliptic systemElliptic equations with weight and combined nonlinearitiesNONNEGATIVE SOLUTIONS FOR INDEFINITE SUBLINEAR ELLIPTIC PROBLEMSCompetition phenomena for elliptic equations involving a general operator in divergence formLack of coercivity in a concave-convex type equationHomoclinic solutions for \(p\)-Laplacian Hamiltonian systems with combined nonlinearitiesSchrödinger equations in \(\mathbb{R}^2\) with critical exponential growth and concave nonlinearitiesBifurcation and one-sign solutions of the \(p\)-Laplacian involving a nonlinearity with zerosMultiple positive solutions for semilinear elliptic systems with nonlinear boundary conditionThe heat equation with singular nonlinearity and singular initial dataPositive solutions of elliptic problems with locally oscillating nonlinearitiesMultiplicity and concentration of positive solutions for semilinear elliptic equations with steep potentialExistence and multiplicity of nontrivial solutions for some biharmonic equations with \(p\)-LaplacianLocal ``superlinearity and ``sublinearity for the \(p\)-LaplacianUnnamed ItemExistence of entire solutions for a class of quasilinear elliptic equationsExistence, nonexistence and multiplicity of positive solutions for the poly-Laplacian and nonlinearities with zerosMultiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in \({\mathbb R^N}\)Quasilinear equations involving indefinite nonlinearities and exponential critical growth in \(\mathbb{R}^N\)Multiple of homoclinic solutions for a perturbed dynamical systems with combined nonlinearitiesSemilinear elliptic problems with combined nonlinearities on the boundaryThe Nehari manifold for indefinite semilinear elliptic systems involving critical exponentDifferential inclusions involving oscillatory termsNew competition phenomena in Dirichlet problemsOn concave perturbations of a periodic elliptic problem in R2 involving critical exponential growthOn sufficient ``local conditions for existence results to generalized \(p(.)\)-Laplace equations involving critical growthSUPERLINEAR ELLIPTIC PROBLEMS WITH SIGN CHANGING COEFFICIENTSCritical quasilinear elliptic problems using concave-convex nonlinearitiesExistence results for some fourth-order nonlinear elliptic problems of local superlinearity and sublinearity.The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functionsMultiple solutions with compact support for a semilinear elliptic problem with critical growthRadial solutions of Dirichlet problems with concave-convex nonlinearitiesMultiplicity results for weak solutions of a semilinear Dirichlet elliptic problem with a parametric nonlinearityExistence and multiplicity results for a class of semilinear elliptic equationsElliptic problems involving the fractional Laplacian in \(\mathbb R^N\)Fractional Schrödinger equations with logarithmic and critical nonlinearitiesMultiplicity of solutions for a nonlinear boundary value problem in the upper half-spaceMultiplicity results for some fourth-order elliptic equationsTwo sequences of solutions for indefinite superlinear-sublinear elliptic equations with nonlinear boundary conditionsThree positive solutions for Dirichlet problems involving critical Sobolev exponent and sign-changing weightNonnegative solutions of elliptic problems with sublinear indefinite nonlinearityMultiple solutions to elliptic equations on \(\mathbb{R}^N\) with combined nonlinearitiesInfinitely many solutions for a Schrödinger-Poisson system with concave and convex nonlinearitiesOn an indefinite, non-Lipschitz semilinear elliptic problem: compactly supported solutions, multiplicity and uniquenessPositive radial solutions involving nonlinearities with zerosTwo solutions for an elliptic equation with fast increasing weight and concave-convex nonlinearitiesConcave-convex behavior for a Kirchhoff type equation with degenerate nonautonomous coefficientSuperlinear equations involving nonlinearities limited by asymptotically homogeneous functionsThe Nehari manifold for a semilinear elliptic system involving sign-changing weight functionsPeriodic solutions to second-order indefinite singular equationsCurvature in special base conformal warped productsMultiple positive solutions for Dirichlet problems involving concave and convex nonlinearitiesPositive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski spaceThree positive solutions for a semilinear elliptic equation in \(\mathbb R^N\) involving sign-changing weightMultiple positive solutions of a nonlinear boundary value problem involving a sign-changing weightMultiple nontrivial solutions for a class of \(p\)-Laplacian equationsAttractors for non-autonomous parabolic problems with singular initial dataMultiple solutions for a semilinear problem with combined terms and nonlinear boundary conditionsPositivity results for indefinite sublinear elliptic problems via a continuity argumentAn indefinite concave-convex equation under a Neumann boundary condition. IFour positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in \(\mathbb R^N\)The Nehari manifold for a class of concave-convex elliptic systems involving the \(p\)-Laplacian and nonlinear boundary conditionMultiple positive solutions for a Dirichlet problem involving critical Sobolev exponentOn elliptic problems involving critical Hardy-Sobolev exponents and sign-changing functionInfinitely many solutions of Dirac equations with concave and convex nonlinearitiesPositive solution for an indefinite fourth-order nonlocal problemFourth-order nonlocal type elliptic problems with indefinite nonlinearitiesA Landesman-Lazer local condition for semilinear elliptic problemsGeneralized limit theorem and bifurcation for problems with Pucci's operatorTwo solutions for a class of fractional boundary value problems with mixed nonlinearitiesSchrödinger equations with vanishing potentials involving Brezis-kamin type problemsHomoclinic solutions for a second-order Hamiltonian system with a positive semi-definite matrixOn the semilinear fractional elliptic equations with singular weight functionsOn a class of elliptic problems with indefinite nonlinearitiesInfinite solutions for a class of Brézis-Nirenberg equations with an indefinite linear and nonlinear terms in signOn nonlocal fractional Laplacian problems with oscillating potentialsFour positive solutions for a semilinear elliptic equation involving concave and convex nonlinearitiesOn supercritical problems involving the Laplace operatorCompactly supported solutions to stationary degenerate diffusion equationsGlobal multiplicity of solutions for a quasilinear elliptic equation with concave and convex nonlinearitiesMultiplicity results for a semi-linear elliptic equation involving sign-changing weight functionExistence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularitiesLoop type subcontinua of positive solutions for indefinite concave-convex problemsMultiple positive solutions for quasilinear problems with indefinite sublinear nonlinearityPositive Solutions of an Indefinite Prescribed Mean Curvature Problem on a General DomainTwo solutions for a fourth order nonlocal problem with indefinite potentialsNonnegative solutions for the fractional Laplacian involving a nonlinearity with zerosMultiplicity of solutions for a quasilinear elliptic problem via the cohomological indexA critical concave-convex Kirchhoff-type equation in \(\mathbb{R}^4\) Involving potentials which may vanish at infinityMultiple positive solutions for the critical Kirchhoff type problems involving sign-changing weight functionsPositive solutions of the \(p\)-Laplacian involving a superlinear nonlinearity with zerosInfinitely many cylindrically symmetric solutions of nonlinear Maxwell equations with concave and convex nonlinearitiesMultiple positive solutions for a class of concave-convex elliptic problems in \(\mathbb R^N\) involving sign-changing weightOn Schrödinger–Poisson systems involving concave–convex nonlinearities via a novel constraint approachQuasilinear problems under local Landesman-Lazer conditionExistence and concentration of solutions with compact support for elliptic problems with critical growth in \(\mathbb R^N\)Multiple positive solutions for a superlinear problem: a topological approachNonexistence and existence of nontrivial solutions for Klein-Gordon-Maxwell systems with competing nonlinearitiesLogistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting



Cites Work


This page was built for publication: Local superlinearity and sublinearity for indefinite semilinear elliptic problems.