Multiplicity results in the non-coercive case for an elliptic problem with critical growth in the gradient
From MaRDI portal
Publication:512641
DOI10.1016/j.jde.2017.01.022zbMath1360.35052arXiv1507.04880OpenAlexW2963776569MaRDI QIDQ512641
Colette De Coster, Louis Jeanjean
Publication date: 27 February 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.04880
lower and upper solutionsbifurcationquasilinear elliptic equationsorder of solutionsquadratic growth in gradient
Boundary value problems for second-order elliptic equations (35J25) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations (35J62)
Related Items
Existence of \(W_0^{1,1}(\Omega)\) solutions to nonlinear elliptic equation with singular natural growth term ⋮ Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient ⋮ A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems ⋮ Existence and multiplicity for an elliptic problem with critical growth in the gradient and sign-changing coefficients ⋮ Biharmonic elliptic problems with second Hessian and gradient nonlinearities ⋮ A priori estimates for non-coercive Dirichlet problems with subquadratic gradient terms ⋮ A priori bounds and multiplicity for fully nonlinear equations with quadratic growth in the gradient ⋮ Existence of solutions to elliptic problem with convection term and lower-order term ⋮ Multiple solutions for an indefinite elliptic problem with critical growth in the gradient ⋮ A priori estimates and multiplicity for systems of elliptic PDE with natural gradient growth ⋮ Existence of \(W_0^{1,1} (\Omega)\) solutions to non-coercivity quasilinear elliptic problem ⋮ Multiplicity of solutions for a class of elliptic problem of \(p\)-Laplacian type with a \(p\)-gradient term ⋮ A priori bounds and multiplicity of solutions for an indefinite elliptic problem with critical growth in the gradient
Cites Work
- Continuum of solutions for an elliptic problem with critical growth in the gradient
- An anti-maximum principle for linear elliptic equations with an indefinite weight function
- Solvability of uniformly elliptic fully nonlinear PDE
- The ``ergodic limit for a viscous Hamilton-Jacobi equation with Dirichlet conditions
- Corrigendum to ``Some remarks on elliptic problems with critical growth in the gradient [J. Differential equations 222 (2006) 21-62]
- Quasilinear elliptic equations with quadratic growth in the gradient
- Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions
- Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions
- A priori estimates and bifurcation of solutions for an elliptic equation with semidefinite critical growth in the gradient
- Two-point boundary value problems. Lower and upper solutions
- Some global results for nonlinear eigenvalue problems
- Elliptic problems with a Hardy potential and critical growth in the gradient: non-resonance and blow-up results
- Multiple solutions for an indefinite elliptic problem with critical growth in the gradient
- Multiplicity Result for Quasilinear Elliptic Problems with General Growth in the Gradient
- Strict Monotonicity of Eigenvalues and Unique Continuation
- $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
- On a class of superlinear elliptic problems
- Existence and Multiplicity for Elliptic Problems with Quadratic Growth in the Gradient
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item