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Solutions with Sign Information for Noncoercive Double Phase Equations
We consider a nonautonomous ( p , q )-equation with unbalanced growth and a reaction which exhibits the combined effects of a parametric “concave" (
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Existence of a Ground-State and Infinitely Many Homoclinic Solutions for a Periodic Discrete System with Sign-Changing Mixed Nonlinearities
We study the existence and multiplicity of homoclinic solutions for a class of periodic discrete systems with sign-changing mixed nonlinearities that...
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Generalized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities
We show a linking-type result which allows us to study strongly indefinite problems with sign-changing nonlinearities. We apply the abstract theory...
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Least Energy Solutions with Sign Information for Parametric Double Phase Problems
We consider a parametric double phase Dirichlet problem. In the reaction there is a superlinear perturbation term which satisfies a weak Nehari-type...
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Generalized Notions of Sparsity and Restricted Isometry Property. Part II: Applications
Restricted isometry property (RIP) provides a near isometric map for sparse signals. RIP of structured random matrices has played a key role for...
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Existence Results for a Perturbed Dirichlet Problem Without Sign Condition in Orlicz Spaces
We deal with the existence result for nonlinear elliptic equations of the form Au + g ( x, u, ∇ u ) = f, where the term – div ( a ( x , u , ∇ u )) is a...
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Resonant-Superlinear Nonhomogeneous Dirichlet Problems
We consider a Dirichlet nonlinear equation driven by the ( p , 2)-Laplacian and with a reaction having the competing effects of a parametric asymmetric...
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Nehari manifold approach for superlinear double phase problems with variable exponents
In this paper we consider quasilinear elliptic equations driven by the variable exponent double phase operator with superlinear right-hand sides....
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Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator
We consider a nonlinear parametric Dirichlet problem driven by the double phase differential operator. Using variational tools combined with critical...
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Absorption paths and equilibria in quitting games
We study quitting games and introduce an alternative notion of strategy profiles— absorption paths . An absorption path is parametrized by the total...
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Anisotropic (p, q)-Equations with Asymmetric Reaction Term
We consider a Dirichlet problem driven by the anisotropic ( p , q )-Laplacian (double phase problem) and with a reaction term which exhibits asymmetric...
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Anisotropic (p, q)-equations with superlinear reaction
In this paper, we consider a Dirichlet problem driven by the anisotropic ( p , q )-Laplacian and a superlinear reaction which need not satisfy the...
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Multiplicity Results for Nonlinear Nonhomogeneous Robin Problems with Indefinite Potential Term
We consider a nonlinear Robin problem driven by a general nonhomogeneous differential operator plus an indefinite potential term. The reaction is of...
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(p, q)-Equations with Negative Concave Terms
In this paper, we study a nonlinear Dirichlet problem driven by the ( p , q )-Laplacian and with a reaction that has the combined effects of a negative...
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Parametric anisotropic singular equations with [p(z), q(z)]-growth conditions and indefinite perturbation
We study a parametric, anisotropic, singular equation with a reaction which has the combined effects of a singular term and of a superlinear...
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Anisotropic (p,q)-Equations with Convex and Negative Concave Terms
We consider a parametric Dirichlet problem driven by the anisotropic (p, q)-Laplacian and with a reaction which exhibits the combined effects of a... -
Global Existence and Multiplicity for Nonlinear Robin Eigenvalue Problems
We consider a parametric problem driven by the p -Laplacian with Robin boundary condition. We assume that the reaction can change sign and we prove an...
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Twin Positive Solutions for a Parametric Double Phase Equation with p, q-Growth
We consider a parametric double phase equation with unbalanced growth and a logistic-type reaction. We assume that in the reaction the perturbation...