On a class of anisotropic elliptic equations without Ambrosetti-Rabinowitz type conditions
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Publication:2510792
DOI10.1016/j.nonrwa.2013.09.012zbMath1297.35095OpenAlexW2078361549MaRDI QIDQ2510792
Nguyen Thanh Chung, Hoang Quoc Toan
Publication date: 4 August 2014
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2013.09.012
Variational methods for higher-order elliptic equations (35J35) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (10)
On \(\vec {p}(x)\)-anisotropic problems with Neumann boundary conditions ⋮ On some \(\overrightarrow{p(x)}\) anisotropic elliptic equations in unbounded domain ⋮ Unnamed Item ⋮ Solutions for a quasilinear elliptic p⃗(x)${\vec{p}(x)}$‐Kirchhoff type problem with weight and nonlinear Robin boundary conditions ⋮ The asymptotic behavior for anisotropic parabolic p‐Laplacian equations ⋮ Multiple solutions for two general classes of anisotropic systems with variable exponents ⋮ On Some Variable Exponent Problems with No-Flux Boundary Condition ⋮ Existence and multiplicity of solutions for (p,q)$$ \left(p,q\right) $$‐Laplacian Kirchhoff‐type fractional differential equations with impulses ⋮ Variational analysis of anisotropic Schrödinger equations without Ambrosetti-Rabinowitz-type condition ⋮ Some remarks on an eigenvalue problem for an anisotropic elliptic equation with indefinite weight
Cites Work
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- Anisotropic Neumann problems in Sobolev spaces with variable exponent
- Infinitely many solutions for a class of degenerate anisotropic elliptic problems with variable exponent
- Orlicz spaces and modular spaces
- An eigenvalue of an anisotropic quasilinear elliptic equation with variable exponent and Neumann boundary condition
- Superlinear problems without Ambrosetti and Rabinowitz growth condition
- The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
- Nonlinear eigenvalues for anisotropic quasilinear degenerate elliptic equations
- A further three critical points theorem
- Existence and nonexistence results for anisotropic quasilinear elliptic equations
- Minimax theorems
- Two nontrivial solutions for a class of anisotropic variable exponent problems
- Multiplicity of solutions for a nonlinear degenerate problem in anisotropic variable exponent spaces
- Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
- Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent
- On the superlinear problem involving the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Laplacian
- Multiple solutions for a class of quasilinear elliptic equations of p(x)-Laplacian type with nonlinear boundary conditions
- Multiple solutions for a class of p ( x )-Laplacian equations in involving the critical exponent
- Existence results for perturbations of the p-Laplacian
- ON AN EIGENVALUE PROBLEM FOR AN ANISOTROPIC ELLIPTIC EQUATION INVOLVING VARIABLE EXPONENTS
- Existence and multiplicity of solutions for an anisotropic elliptic problem involving variable exponent growth conditions
- A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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